Coalescence, Caloric Curves and Critical behavior

R. Alfarro,5 J. Cibor,4 M. Cinausero,2 Y. El Masri 6,D. Fabris,3 E. Fioretto,2 K. Hagel1, A. Keksis1, T. Keutgen,6 M. Lunardon,3 Y. Ma1, Z. Majka,4 A. Makeev1,E. Martin1, A. Martinez-Davalos,5 A. Menchaca-Rocha,5 M. Murray1, J. B. Natowitz1, G. Nebbia3, L. Qin1, G. Prete,2 V. Rizzi,3 A. Ruangma1, D. V. Shetty1, P. Smith1, G. Souliotis1, P. Staszel,4 M. Veselsky1, G. Viesti,3 R. Wada1, J. Wang1, E. M. Winchester1 and S. J. Yennello1

1Texas A&M University, College Station, Texas 2INFN Laboratori Nazionali di Legnaro, Legnaro, Italy 3INFN Dipartimento di Fisica, Padova, Italy 4Jagellonian University, Krakow, Poland 5UNAM, Mexico City, Mexico 6UCL, Louvain-la-Neuve, Belgium Coalescence, Caloric Curves and Critical behavior

Community Consensus Caloric CurvesFrom the existing data Caloric curves can be defined in different mass regions Results from quite varied entrance channel systems, reaction dynamics and projectile energy ranges appear to be consistent.

Only the lightest nuclei have been investigated to very high excitation There appears to be a mass dependence in the Caloric Curves

J.B. Natowitz et al., Phys.Rev. C 65 034618 (2002)

Chart4

8.257.0053.0100096.4807406984

8.718.0763.522.54950975680.333597.2456883731

8.8510.96242.82842712473.60555127550.66797.9372539332

8.644.53.46410161514.41588043321.000598.5732140997

8.64545.09901951361.33498.8741196746

9.045.54.4721359555.70087712551.667599.4472218138

1064.89897948566.24499799842.001

10.56.55.29150262216.74536878162.3345

75.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(a)

Hauger

Odeh

Cussol

Fermi Gas, K=8

Fermi Gas, K=13

vaporization

mean

Ex/A (MeV/nucleon)

T (MeV)

A=30-60 Caloric Curve

Sheet1

Sheet1

8.257.0053.0100096.4807406984

8.718.0763.522.54950975680.333597.2456883731

8.8510.96242.82842712473.60555127550.66797.9372539332

8.644.53.46410161514.41588043321.000598.5732140997

8.64545.09901951361.33498.8741196746

9.045.54.4721359555.70087712551.667599.4472218138

1064.89897948566.24499799842.001

10.56.55.29150262216.74536878162.3345

75.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(a)

Hauger

Odeh

Cussol

Fermi Gas, K=8

Fermi Gas, K=13

vaporization

mean

Ex/A (MeV/nucleon)

T (MeV)


Sheet2

4.046.566.36.0716.150006.974.7749345545

4.676.626.566.5136.552.82842712473.60555127550.33356.976.3166446789

5.546.746.73.46410161514.41588043320.6676.976.7527772065

6.316.976.945.09901951361.00056.977.1624018318

7.067.357.314.4721359555.70087712551.3347.5498344353

7.67.677.14.89897948566.24499799841.66757.5498344353

8.2575.29150262216.74536878162.001

7.65.65685424957.21110255092.3345

7.5567.64852927042.668

8.56.63324958078.45576726263.0015

7.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(b)

Hauger

Hauger

Hauger

Odeh

Kwiatkowski

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T(MeV)

A = 60-100 Caloric Curve

Sheet3

4.645.985.48656.73.066.93.6008.74459062306.2754.3243496621

5.286.065.67226.57.64.422.549509756810.124871970.33356.2755.7445626465

5.926.26.1596.32.26.85.22.82842712473.605551275511.98139430.6676.2756.6332495807

6.216.276.00665.85.353.46410161514.41588043321.00056.2757.0356236397

6.485.7545.09901951361.3346.2757.4161984871

6.565.76.054.4721359555.70087712551.66757.4161984871

5.86.154.89897948566.24499799842.001

4.85.29150262216.74536878162.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(c)

Hauger

Hauger

Odeh

Wada

Chulick

Cibor

Kwiatkowski

Fermi Gas, K=8

Fermi Gas, K=13

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


5.245.15165.64063.76.66.0488446520004.486.6274.0620192023

5.75.04654.86.22830645165.9916705522.82842712473.60555127550.33356.6275.7445626465

5.895.63275.66.76201550396.4412909663.46410161514.41588043320.6676.6276.6332495807

5.915.55186.64830769236.5894126745.09901951361.00056.6277.0356236397

4.74652.76.73684210536.8195542094.4721359555.70087712551.3346.6277.4161984871

5.458537.31641791047.4049792514.89897948566.24499799841.66757.4161984871

5.57863.77.124935035.29150262216.74536878162.001

7.1702816935.65685424957.21110255092.3345

7.38947262767.64852927042.668

6.9772597326.63324958078.45576726263.0015

7.9349712787.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(d)

`

Hauger

Odeh

Odeh

Hagel

Kwiatkowski

Ruangma

K=8

K=13

vaporization

Gonin

Ex/A (MeV/nucleon)

T (MeV)


4.7225.764.65004.44166666675.66015.843.6742346142

6.0635.765.222.54950975685.760.33355.844.5

5.2645.72.82842712473.60555127555.91079545450.6675.845.1961524227

5.5283.46410161514.41588043326.17142857141.00055.845.8094750193

5.05745.09901951366.0481.3346.3639610307

4.4721359555.70087712556.23773584911.66756.3639610307

4.89897948566.24499799846.11590909092.001

5.29150262216.74536878166.31473214292.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(e)

Odeh

Wada

Lunardon

Fermi Gas, K=8

Fermi Gas, K=13

Kwiatkowski

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)

A = 180 - 240 Caloric Curve

4.044.644.5534.7226.73.73.066.94.483.015.764.653.63.95.66

4.675.285.246.0636.54.87.63.55.765.24.44.86.048844652

5.545.925.75.2646.35.62.26.845.75.25.055.991670552

6.316.215.895.52865.84.55.355.26.441290966

7.066.485.915.0572.755.755.46.58941267

7.66.565.985.15165.735.56.055.86.819554209

8.256.566.065.04655.83.766.155.857.404979251

8.716.626.25.63274.86.56.556.157.12493503

8.856.746.275.551876.76.67.170281693

8.646.976.34.74656.96.497.389472627

8.647.356.565.45857.317.156.977259732

9.047.675.57867.16.977.934971278

105.5619778.744590623

10.55.64067.67.610.12487197

5.48657.55122.6

5.67228.5

6.159

6.006

6.071

6.513

7.005

8.076

10.962

Hauger

Hauger

Hauger

Odeh

Wada

Hagel

Chulick

Cibor

Gonin

Cussol

Wada

Lunardon

Kwiatkowski

Kwiatkowski

Ruangma

A

T (MeV)

11.331368421111.079534473513.162505312910.202272727311.206666666713.152268518514.63540864968.16.92005813952524.5110.37121212128.142260869613.380266666714.4159.21611.0281081081818

11.250363196111.005050100215.065561065610.833333333313.939216.588811.96670533468.310.369838420112.516.333333333312.4540540541010.46.14410.9263026052812

11.083617963310.406790518914.037333333312.40312512.695510204113.975001162211.8543512319.6511.85641025648.333333333312.2512.88.06666666675.601724137910.949554049289

10.24551009569.47871584717.148588103315.65217391310.25830412.695510204110.855089833911.113.19215686276.259.8011.206332676687.2

9.57591790198.37805229079.524487523309.560347321110.45094410.33473769112.458.16666666678.47674418611.503254096586

8.22822179737.48125523017.65915802611.20344827598.89013888899.727337130710.966743541514.64.166666666778.490566037711.31218174785.1428571429

7.05468852466.67944707177.070283800714.01666666677.97516840728.31207644639.229945305815.33.57142857146.12511.408333333311.400753768884.5

6.23320248055.95968992257.334098310212.12631578957.80045454557.97516840728.568823259515.753.1255.444444444484

5.78253564155.831044200512.526918616.89047097217.928.40066241622.77777777784.983.6

5.59043728425.78655780736.36060481376.55126346886.46530020926.95459333832.54.454545454583.2727272727

5.56073082866.71980012496.61968945796.94533790037.0345928738.12435731392.27272727274.083333333383

5.58785144386.19195741356.2254692376.31428502458.73918459022.08333333333.769230769282.7692307692

5.05304338615.67643823796.051338873510.51415717011.92307692313.582.5714285714

6.96505436956.29764365186.6912463813.05034630661.78571428573.266666666782.4

5.05570746565.86977180331.66666666678

4.63533393467.04829495498

6.3903775278

4.70607123298

4.09431692968

5.43974980768

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

Hauger La

Hauger Au

Aladin

Wada

Kwiatkowski Ag

Kwiatkowski

Ruangma

Shlomo Calc

Cibor

T=5

T=7.5

hagel

Hagel

Chulick+'Temperature Excit Mass Summary

Chulick

Lunardon

WADA Au

Hauger Kr

T=6.25

Ex/A (MeV/nucleon)

Apparent K (MeV)

Apparent Inverse Level Density Parameters

1.481.91.8711.6944.41.321.156.881.153.61.51.51.51.51.5

1.9962.4782.4952.443.91.855.571.595.42.6222.5

2.8033.1623.1221.9743.22.450.63.925.832.53

3.5533.7643.661.7822.32.552.453.533.5

4.3334.3854.1692.6850.862.8543.54

5.1065.234.783.4652.91.063.44.544.5

5.976.15.4983.6022.41.23.8754.55

6.957.03086.454.3261.94.455.555.5

7.8417.8566.7422.46055.1965.56

9.2258.696.8593.5426.566.5

10.6819.7156.4044.50176.57

12.117110.5285.0267.577.75

13.92556.12287.58.75

15.2264.5688.589.75

5.954911

6.9419.5

5.936

7.665

9.002

7.798

10.119

11.06

11.7635

Hauger

Hauger

Hauger

Odeh

Wada

Hagel

Chulick

Cibor

Cussol

Wada

Lunardon

Kwiatkowski

Kwiatkowski

Ruangma

Gonin

A

Ex (MeV/nucleon)

4.044.644.5534.7223.016.73.74.483.065.663.63.94.656.9000

4.675.285.246.0633.56.54.86.0488446524.44.85.27.622.54950975680.3335

5.545.925.75.26446.35.62.25.9916705525.25.055.76.82.82842712473.60555127550.667

6.316.215.895.5284.566.4412909665.355.25.845.09901951361.0005

7.066.485.915.05752.76.589412675.755.44.89897948566.24499799841.334

7.66.565.985.15165.55.736.8195542096.055.85.65685424957.21110255091.6675

8.256.566.065.046565.83.77.4049792516.155.856.32455532038.06225774832.001

8.716.626.25.63276.54.87.124935036.556.158.485281374210.81665382642.3345

8.856.746.275.551877.1702816936.76.69.797958971112.48999599682.668

8.646.976.34.74657.3894726276.96.4910.583005244313.49073756323.0015

8.647.356.565.45856.9772597327.317.1511.31370849914.42220510193.335

9.047.675.57867.9349712787.16.971215.29705854083.6685

105.56198.7445906237712.649110640716.12451549664.002

10.55.640610.124871977.67.64.3355

3.65.486511.98139437.554.669

5.45.67228.55.0025

6.1595.336

1.56.0065.6695

2.66.0716.003

5.86.5136.3365

7.0056.67

8.0767.0035

10.9627.337

7.6705

8.004

Hauger Kr

Hauger La

Hauger Au

Odeh

Cussol

Wada

Hagel

Gonin

Chulick

Ruangma

Kwiatkowski Ag

Kwiatkowski Au

Lunardon

Cibor

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T (MeV)

98.796.96.23076923089.326.86.976.2756.6275.84

7.873.73699230778.19

6.643.02889423086.77

6.033.37824069236.11

5.352.62350769235.42

T crit

Zhang T

Cibor T

Zhang( K=13)

Zhang-Gogny

A

T (MeV)

7.71428571433.73.7

4.2614824561

3.5796022727

3.9924662727

2.5263407407

CIBOR

A

Ex/A (MeV/nucleon)

Chart5

4.046.566.36.0716.150006.974.7749345545

4.676.626.566.5136.552.82842712473.60555127550.33356.976.3166446789

5.546.746.73.46410161514.41588043320.6676.976.7527772065

6.316.976.945.09901951361.00056.977.1624018318

7.067.357.314.4721359555.70087712551.3347.5498344353

7.67.677.14.89897948566.24499799841.66757.5498344353

8.2575.29150262216.74536878162.001

7.65.65685424957.21110255092.3345

7.5567.64852927042.668

8.56.63324958078.45576726263.0015

7.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(b)

Hauger

Hauger

Hauger

Odeh

Kwiatkowski

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T(MeV)


Sheet1

Sheet1

8.257.0053.0100096.4807406984

8.718.0763.522.54950975680.333597.2456883731

8.8510.96242.82842712473.60555127550.66797.9372539332

8.644.53.46410161514.41588043321.000598.5732140997

8.64545.09901951361.33498.8741196746

9.045.54.4721359555.70087712551.667599.4472218138

1064.89897948566.24499799842.001

10.56.55.29150262216.74536878162.3345

75.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(a)

Hauger

Odeh

Cussol

Fermi Gas, K=8

Fermi Gas, K=13

vaporization

mean

Ex/A (MeV/nucleon)

T (MeV)


Sheet2

4.046.566.36.0716.150006.974.7749345545

4.676.626.566.5136.552.82842712473.60555127550.33356.976.3166446789

5.546.746.73.46410161514.41588043320.6676.976.7527772065

6.316.976.945.09901951361.00056.977.1624018318

7.067.357.314.4721359555.70087712551.3347.5498344353

7.67.677.14.89897948566.24499799841.66757.5498344353

8.2575.29150262216.74536878162.001

7.65.65685424957.21110255092.3345

7.5567.64852927042.668

8.56.63324958078.45576726263.0015

7.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(b)

Hauger

Hauger

Hauger

Odeh

Kwiatkowski

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T(MeV)


Sheet3

4.645.985.48656.73.066.93.6008.74459062306.2754.3243496621

5.286.065.67226.57.64.422.549509756810.124871970.33356.2755.7445626465

5.926.26.1596.32.26.85.22.82842712473.605551275511.98139430.6676.2756.6332495807

6.216.276.00665.85.353.46410161514.41588043321.00056.2757.0356236397

6.485.7545.09901951361.3346.2757.4161984871

6.565.76.054.4721359555.70087712551.66757.4161984871

5.86.154.89897948566.24499799842.001

4.85.29150262216.74536878162.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(c)

Hauger

Hauger

Odeh

Wada

Chulick

Cibor

Kwiatkowski

Fermi Gas, K=8

Fermi Gas, K=13

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


5.245.15165.64063.76.66.0488446520004.486.6274.0620192023

5.75.04654.86.22830645165.9916705522.82842712473.60555127550.33356.6275.7445626465

5.895.63275.66.76201550396.4412909663.46410161514.41588043320.6676.6276.6332495807

5.915.55186.64830769236.5894126745.09901951361.00056.6277.0356236397

4.74652.76.73684210536.8195542094.4721359555.70087712551.3346.6277.4161984871

5.458537.31641791047.4049792514.89897948566.24499799841.66757.4161984871

5.57863.77.124935035.29150262216.74536878162.001

7.1702816935.65685424957.21110255092.3345

7.38947262767.64852927042.668

6.9772597326.63324958078.45576726263.0015

7.9349712787.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(d)

`

Hauger

Odeh

Odeh

Hagel

Kwiatkowski

Ruangma

K=8

K=13

vaporization

Gonin

Ex/A (MeV/nucleon)

T (MeV)


4.7225.764.65004.44166666675.66015.843.6742346142

6.0635.765.222.54950975685.760.33355.844.5

5.2645.72.82842712473.60555127555.91079545450.6675.845.1961524227

5.5283.46410161514.41588043326.17142857141.00055.845.8094750193

5.05745.09901951366.0481.3346.3639610307

4.4721359555.70087712556.23773584911.66756.3639610307

4.89897948566.24499799846.11590909092.001

5.29150262216.74536878166.31473214292.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(e)

Odeh

Wada

Lunardon

Fermi Gas, K=8

Fermi Gas, K=13

Kwiatkowski

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


4.044.644.5534.7226.73.73.066.94.483.015.764.653.63.95.66

4.675.285.246.0636.54.87.63.55.765.24.44.86.048844652

5.545.925.75.2646.35.62.26.845.75.25.055.991670552

6.316.215.895.52865.84.55.355.26.441290966

7.066.485.915.0572.755.755.46.58941267

7.66.565.985.15165.735.56.055.86.819554209

8.256.566.065.04655.83.766.155.857.404979251

8.716.626.25.63274.86.56.556.157.12493503

8.856.746.275.551876.76.67.170281693

8.646.976.34.74656.96.497.389472627

8.647.356.565.45857.317.156.977259732

9.047.675.57867.16.977.934971278

105.5619778.744590623

10.55.64067.67.610.12487197

5.48657.55122.6

5.67228.5

6.159

6.006

6.071

6.513

7.005

8.076

10.962

Hauger

Hauger

Hauger

Odeh

Wada

Hagel

Chulick

Cibor

Gonin

Cussol

Wada

Lunardon

Kwiatkowski

Kwiatkowski

Ruangma

A

T (MeV)

11.331368421111.079534473513.162505312910.202272727311.206666666713.152268518514.63540864968.16.92005813952524.5110.37121212128.142260869613.380266666714.4159.21611.0281081081818

11.250363196111.005050100215.065561065610.833333333313.939216.588811.96670533468.310.369838420112.516.333333333312.4540540541010.46.14410.9263026052812

11.083617963310.406790518914.037333333312.40312512.695510204113.975001162211.8543512319.6511.85641025648.333333333312.2512.88.06666666675.601724137910.949554049289

10.24551009569.47871584717.148588103315.65217391310.25830412.695510204110.855089833911.113.19215686276.259.8011.206332676687.2

9.57591790198.37805229079.524487523309.560347321110.45094410.33473769112.458.16666666678.47674418611.503254096586

8.22822179737.48125523017.65915802611.20344827598.89013888899.727337130710.966743541514.64.166666666778.490566037711.31218174785.1428571429

7.05468852466.67944707177.070283800714.01666666677.97516840728.31207644639.229945305815.33.57142857146.12511.408333333311.400753768884.5

6.23320248055.95968992257.334098310212.12631578957.80045454557.97516840728.568823259515.753.1255.444444444484

5.78253564155.831044200512.526918616.89047097217.928.40066241622.77777777784.983.6

5.59043728425.78655780736.36060481376.55126346886.46530020926.95459333832.54.454545454583.2727272727

5.56073082866.71980012496.61968945796.94533790037.0345928738.12435731392.27272727274.083333333383

5.58785144386.19195741356.2254692376.31428502458.73918459022.08333333333.769230769282.7692307692

5.05304338615.67643823796.051338873510.51415717011.92307692313.582.5714285714

6.96505436956.29764365186.6912463813.05034630661.78571428573.266666666782.4

5.05570746565.86977180331.66666666678

4.63533393467.04829495498

6.3903775278

4.70607123298

4.09431692968

5.43974980768

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

Hauger La

Hauger Au

Aladin

Wada

Kwiatkowski Ag

Kwiatkowski

Ruangma

Shlomo Calc

Cibor

T=5

T=7.5

hagel

Hagel


Chulick

Lunardon

WADA Au

Hauger Kr

T=6.25

Ex/A (MeV/nucleon)

Apparent K (MeV)


1.481.91.8711.6944.41.321.156.881.153.61.51.51.51.51.5

1.9962.4782.4952.443.91.855.571.595.42.6222.5

2.8033.1623.1221.9743.22.450.63.925.832.53

3.5533.7643.661.7822.32.552.453.533.5

4.3334.3854.1692.6850.862.8543.54

5.1065.234.783.4652.91.063.44.544.5

5.976.15.4983.6022.41.23.8754.55

6.957.03086.454.3261.94.455.555.5

7.8417.8566.7422.46055.1965.56

9.2258.696.8593.5426.566.5

10.6819.7156.4044.50176.57

12.117110.5285.0267.577.75

13.92556.12287.58.75

15.2264.5688.589.75

5.954911

6.9419.5

5.936

7.665

9.002

7.798

10.119

11.06

11.7635

Hauger

Hauger

Hauger

Odeh

Wada

Hagel

Chulick

Cibor

Cussol

Wada

Lunardon

Kwiatkowski

Kwiatkowski

Ruangma

Gonin

A

Ex (MeV/nucleon)

4.044.644.5534.7223.016.73.74.483.065.663.63.94.656.9000

4.675.285.246.0633.56.54.86.0488446524.44.85.27.622.54950975680.3335

5.545.925.75.26446.35.62.25.9916705525.25.055.76.82.82842712473.60555127550.667

6.316.215.895.5284.566.4412909665.355.25.845.09901951361.0005

7.066.485.915.05752.76.589412675.755.44.89897948566.24499799841.334

7.66.565.985.15165.55.736.8195542096.055.85.65685424957.21110255091.6675

8.256.566.065.046565.83.77.4049792516.155.856.32455532038.06225774832.001

8.716.626.25.63276.54.87.124935036.556.158.485281374210.81665382642.3345

8.856.746.275.551877.1702816936.76.69.797958971112.48999599682.668

8.646.976.34.74657.3894726276.96.4910.583005244313.49073756323.0015

8.647.356.565.45856.9772597327.317.1511.31370849914.42220510193.335

9.047.675.57867.9349712787.16.971215.29705854083.6685

105.56198.7445906237712.649110640716.12451549664.002

10.55.640610.124871977.67.64.3355

3.65.486511.98139437.554.669

5.45.67228.55.0025

6.1595.336

1.56.0065.6695

2.66.0716.003

5.86.5136.3365

7.0056.67

8.0767.0035

10.9627.337

7.6705

8.004

Hauger Kr

Hauger La

Hauger Au

Odeh

Cussol

Wada

Hagel

Gonin

Chulick

Ruangma

Kwiatkowski Ag

Kwiatkowski Au

Lunardon

Cibor

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T (MeV)

98.796.96.23076923089.326.86.976.2756.6275.84

7.873.73699230778.19

6.643.02889423086.77

6.033.37824069236.11

5.352.62350769235.42

T crit

Zhang T

Cibor T

Zhang( K=13)

Zhang-Gogny

A

T (MeV)

7.71428571433.73.7

4.2614824561

3.5796022727

3.9924662727

2.5263407407

CIBOR

A

Ex/A (MeV/nucleon)

Chart6

4.645.985.48656.73.066.93.6008.74459062306.2754.3243496621

5.286.065.67226.57.64.422.549509756810.124871970.33356.2755.7445626465

5.926.26.1596.32.26.85.22.82842712473.605551275511.98139430.6676.2756.6332495807

6.216.276.00665.85.353.46410161514.41588043321.00056.2757.0356236397

6.485.7545.09901951361.3346.2757.4161984871

6.565.76.054.4721359555.70087712551.66757.4161984871

5.86.154.89897948566.24499799842.001

4.85.29150262216.74536878162.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(c)

Hauger

Hauger

Odeh

Wada

Chulick

Cibor

Kwiatkowski

Fermi Gas, K=8

Fermi Gas, K=13

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


Sheet1

Sheet1

8.257.0053.0100096.4807406984

8.718.0763.522.54950975680.333597.2456883731

8.8510.96242.82842712473.60555127550.66797.9372539332

8.644.53.46410161514.41588043321.000598.5732140997

8.64545.09901951361.33498.8741196746

9.045.54.4721359555.70087712551.667599.4472218138

1064.89897948566.24499799842.001

10.56.55.29150262216.74536878162.3345

75.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(a)

Hauger

Odeh

Cussol

Fermi Gas, K=8

Fermi Gas, K=13

vaporization

mean

Ex/A (MeV/nucleon)

T (MeV)


Sheet2

4.046.566.36.0716.150006.974.7749345545

4.676.626.566.5136.552.82842712473.60555127550.33356.976.3166446789

5.546.746.73.46410161514.41588043320.6676.976.7527772065

6.316.976.945.09901951361.00056.977.1624018318

7.067.357.314.4721359555.70087712551.3347.5498344353

7.67.677.14.89897948566.24499799841.66757.5498344353

8.2575.29150262216.74536878162.001

7.65.65685424957.21110255092.3345

7.5567.64852927042.668

8.56.63324958078.45576726263.0015

7.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(b)

Hauger

Hauger

Hauger

Odeh

Kwiatkowski

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T(MeV)


Sheet3

4.645.985.48656.73.066.93.6008.74459062306.2754.3243496621

5.286.065.67226.57.64.422.549509756810.124871970.33356.2755.7445626465

5.926.26.1596.32.26.85.22.82842712473.605551275511.98139430.6676.2756.6332495807

6.216.276.00665.85.353.46410161514.41588043321.00056.2757.0356236397

6.485.7545.09901951361.3346.2757.4161984871

6.565.76.054.4721359555.70087712551.66757.4161984871

5.86.154.89897948566.24499799842.001

4.85.29150262216.74536878162.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(c)

Hauger

Hauger

Odeh

Wada

Chulick

Cibor

Kwiatkowski

Fermi Gas, K=8

Fermi Gas, K=13

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


5.245.15165.64063.76.66.0488446520004.486.6274.0620192023

5.75.04654.86.22830645165.9916705522.82842712473.60555127550.33356.6275.7445626465

5.895.63275.66.76201550396.4412909663.46410161514.41588043320.6676.6276.6332495807

5.915.55186.64830769236.5894126745.09901951361.00056.6277.0356236397

4.74652.76.73684210536.8195542094.4721359555.70087712551.3346.6277.4161984871

5.458537.31641791047.4049792514.89897948566.24499799841.66757.4161984871

5.57863.77.124935035.29150262216.74536878162.001

7.1702816935.65685424957.21110255092.3345

7.38947262767.64852927042.668

6.9772597326.63324958078.45576726263.0015

7.9349712787.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(d)

`

Hauger

Odeh

Odeh

Hagel

Kwiatkowski

Ruangma

K=8

K=13

vaporization

Gonin

Ex/A (MeV/nucleon)

T (MeV)


4.7225.764.65004.44166666675.66015.843.6742346142

6.0635.765.222.54950975685.760.33355.844.5

5.2645.72.82842712473.60555127555.91079545450.6675.845.1961524227

5.5283.46410161514.41588043326.17142857141.00055.845.8094750193

5.05745.09901951366.0481.3346.3639610307

4.4721359555.70087712556.23773584911.66756.3639610307

4.89897948566.24499799846.11590909092.001

5.29150262216.74536878166.31473214292.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(e)

Odeh

Wada

Lunardon

Fermi Gas, K=8

Fermi Gas, K=13

Kwiatkowski

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


4.044.644.5534.7226.73.73.066.94.483.015.764.653.63.95.66

4.675.285.246.0636.54.87.63.55.765.24.44.86.048844652

5.545.925.75.2646.35.62.26.845.75.25.055.991670552

6.316.215.895.52865.84.55.355.26.441290966

7.066.485.915.0572.755.755.46.58941267

7.66.565.985.15165.735.56.055.86.819554209

8.256.566.065.04655.83.766.155.857.404979251

8.716.626.25.63274.86.56.556.157.12493503

8.856.746.275.551876.76.67.170281693

8.646.976.34.74656.96.497.389472627

8.647.356.565.45857.317.156.977259732

9.047.675.57867.16.977.934971278

105.5619778.744590623

10.55.64067.67.610.12487197

5.48657.55122.6

5.67228.5

6.159

6.006

6.071

6.513

7.005

8.076

10.962

Hauger

Hauger

Hauger

Odeh

Wada

Hagel

Chulick

Cibor

Gonin

Cussol

Wada

Lunardon

Kwiatkowski

Kwiatkowski

Ruangma

A

T (MeV)

11.331368421111.079534473513.162505312910.202272727311.206666666713.152268518514.63540864968.16.92005813952524.5110.37121212128.142260869613.380266666714.4159.21611.0281081081818

11.250363196111.005050100215.065561065610.833333333313.939216.588811.96670533468.310.369838420112.516.333333333312.4540540541010.46.14410.9263026052812

11.083617963310.406790518914.037333333312.40312512.695510204113.975001162211.8543512319.6511.85641025648.333333333312.2512.88.06666666675.601724137910.949554049289

10.24551009569.47871584717.148588103315.65217391310.25830412.695510204110.855089833911.113.19215686276.259.8011.206332676687.2

9.57591790198.37805229079.524487523309.560347321110.45094410.33473769112.458.16666666678.47674418611.503254096586

8.22822179737.48125523017.65915802611.20344827598.89013888899.727337130710.966743541514.64.166666666778.490566037711.31218174785.1428571429

7.05468852466.67944707177.070283800714.01666666677.97516840728.31207644639.229945305815.33.57142857146.12511.408333333311.400753768884.5

6.23320248055.95968992257.334098310212.12631578957.80045454557.97516840728.568823259515.753.1255.444444444484

5.78253564155.831044200512.526918616.89047097217.928.40066241622.77777777784.983.6

5.59043728425.78655780736.36060481376.55126346886.46530020926.95459333832.54.454545454583.2727272727

5.56073082866.71980012496.61968945796.94533790037.0345928738.12435731392.27272727274.083333333383

5.58785144386.19195741356.2254692376.31428502458.73918459022.08333333333.769230769282.7692307692

5.05304338615.67643823796.051338873510.51415717011.92307692313.582.5714285714

6.96505436956.29764365186.6912463813.05034630661.78571428573.266666666782.4

5.05570746565.86977180331.66666666678

4.63533393467.04829495498

6.3903775278

4.70607123298

4.09431692968

5.43974980768

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

Hauger La

Hauger Au

Aladin

Wada

Kwiatkowski Ag

Kwiatkowski

Ruangma

Shlomo Calc

Cibor

T=5

T=7.5

hagel

Hagel


Chulick

Lunardon

WADA Au

Hauger Kr

T=6.25

Ex/A (MeV/nucleon)

Apparent K (MeV)


1.481.91.8711.6944.41.321.156.881.153.61.51.51.51.51.5

1.9962.4782.4952.443.91.855.571.595.42.6222.5

2.8033.1623.1221.9743.22.450.63.925.832.53

3.5533.7643.661.7822.32.552.453.533.5

4.3334.3854.1692.6850.862.8543.54

5.1065.234.783.4652.91.063.44.544.5

5.976.15.4983.6022.41.23.8754.55

6.957.03086.454.3261.94.455.555.5

7.8417.8566.7422.46055.1965.56

9.2258.696.8593.5426.566.5

10.6819.7156.4044.50176.57

12.117110.5285.0267.577.75

13.92556.12287.58.75

15.2264.5688.589.75

5.954911

6.9419.5

5.936

7.665

9.002

7.798

10.119

11.06

11.7635

Hauger

Hauger

Hauger

Odeh

Wada

Hagel

Chulick

Cibor

Cussol

Wada

Lunardon

Kwiatkowski

Kwiatkowski

Ruangma

Gonin

A

Ex (MeV/nucleon)

4.044.644.5534.7223.016.73.74.483.065.663.63.94.656.9000

4.675.285.246.0633.56.54.86.0488446524.44.85.27.622.54950975680.3335

5.545.925.75.26446.35.62.25.9916705525.25.055.76.82.82842712473.60555127550.667

6.316.215.895.5284.566.4412909665.355.25.845.09901951361.0005

7.066.485.915.05752.76.589412675.755.44.89897948566.24499799841.334

7.66.565.985.15165.55.736.8195542096.055.85.65685424957.21110255091.6675

8.256.566.065.046565.83.77.4049792516.155.856.32455532038.06225774832.001

8.716.626.25.63276.54.87.124935036.556.158.485281374210.81665382642.3345

8.856.746.275.551877.1702816936.76.69.797958971112.48999599682.668

8.646.976.34.74657.3894726276.96.4910.583005244313.49073756323.0015

8.647.356.565.45856.9772597327.317.1511.31370849914.42220510193.335

9.047.675.57867.9349712787.16.971215.29705854083.6685

105.56198.7445906237712.649110640716.12451549664.002

10.55.640610.124871977.67.64.3355

3.65.486511.98139437.554.669

5.45.67228.55.0025

6.1595.336

1.56.0065.6695

2.66.0716.003

5.86.5136.3365

7.0056.67

8.0767.0035

10.9627.337

7.6705

8.004

Hauger Kr

Hauger La

Hauger Au

Odeh

Cussol

Wada

Hagel

Gonin

Chulick

Ruangma

Kwiatkowski Ag

Kwiatkowski Au

Lunardon

Cibor

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T (MeV)

98.796.96.23076923089.326.86.976.2756.6275.84

7.873.73699230778.19

6.643.02889423086.77

6.033.37824069236.11

5.352.62350769235.42

T crit

Zhang T

Cibor T

Zhang( K=13)

Zhang-Gogny

A

T (MeV)

7.71428571433.73.7

4.2614824561

3.5796022727

3.9924662727

2.5263407407

CIBOR

A

Ex/A (MeV/nucleon)

Chart7

5.245.15165.64063.76.66.0488446520004.486.6274.0620192023

5.75.04654.86.22830645165.9916705522.82842712473.60555127550.33356.6275.7445626465

5.895.63275.66.76201550396.4412909663.46410161514.41588043320.6676.6276.6332495807

5.915.55186.64830769236.5894126745.09901951361.00056.6277.0356236397

4.74652.76.73684210536.8195542094.4721359555.70087712551.3346.6277.4161984871

5.458537.31641791047.4049792514.89897948566.24499799841.66757.4161984871

5.57863.77.124935035.29150262216.74536878162.001

7.1702816935.65685424957.21110255092.3345

7.38947262767.64852927042.668

6.9772597326.63324958078.45576726263.0015

7.9349712787.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(d)

`

Hauger

Odeh

Odeh

Hagel

Kwiatkowski

Ruangma

K=8

K=13

vaporization

Gonin

Ex/A (MeV/nucleon)

T (MeV)


Sheet1

Sheet1

8.257.0053.0100096.4807406984

8.718.0763.522.54950975680.333597.2456883731

8.8510.96242.82842712473.60555127550.66797.9372539332

8.644.53.46410161514.41588043321.000598.5732140997

8.64545.09901951361.33498.8741196746

9.045.54.4721359555.70087712551.667599.4472218138

1064.89897948566.24499799842.001

10.56.55.29150262216.74536878162.3345

75.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(a)

Hauger

Odeh

Cussol

Fermi Gas, K=8

Fermi Gas, K=13

vaporization

mean

Ex/A (MeV/nucleon)

T (MeV)


Sheet2

4.046.566.36.0716.150006.974.7749345545

4.676.626.566.5136.552.82842712473.60555127550.33356.976.3166446789

5.546.746.73.46410161514.41588043320.6676.976.7527772065

6.316.976.945.09901951361.00056.977.1624018318

7.067.357.314.4721359555.70087712551.3347.5498344353

7.67.677.14.89897948566.24499799841.66757.5498344353

8.2575.29150262216.74536878162.001

7.65.65685424957.21110255092.3345

7.5567.64852927042.668

8.56.63324958078.45576726263.0015

7.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(b)

Hauger

Hauger

Hauger

Odeh

Kwiatkowski

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T(MeV)


Sheet3

4.645.985.48656.73.066.93.6008.74459062306.2754.3243496621

5.286.065.67226.57.64.422.549509756810.124871970.33356.2755.7445626465

5.926.26.1596.32.26.85.22.82842712473.605551275511.98139430.6676.2756.6332495807

6.216.276.00665.85.353.46410161514.41588043321.00056.2757.0356236397

6.485.7545.09901951361.3346.2757.4161984871

6.565.76.054.4721359555.70087712551.66757.4161984871

5.86.154.89897948566.24499799842.001

4.85.29150262216.74536878162.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(c)

Hauger

Hauger

Odeh

Wada

Chulick

Cibor

Kwiatkowski

Fermi Gas, K=8

Fermi Gas, K=13

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


5.245.15165.64063.76.66.0488446520004.486.6274.0620192023

5.75.04654.86.22830645165.9916705522.82842712473.60555127550.33356.6275.7445626465

5.895.63275.66.76201550396.4412909663.46410161514.41588043320.6676.6276.6332495807

5.915.55186.64830769236.5894126745.09901951361.00056.6277.0356236397

4.74652.76.73684210536.8195542094.4721359555.70087712551.3346.6277.4161984871

5.458537.31641791047.4049792514.89897948566.24499799841.66757.4161984871

5.57863.77.124935035.29150262216.74536878162.001

7.1702816935.65685424957.21110255092.3345

7.38947262767.64852927042.668

6.9772597326.63324958078.45576726263.0015

7.9349712787.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(d)

`

Hauger

Odeh

Odeh

Hagel

Kwiatkowski

Ruangma

K=8

K=13

vaporization

Gonin

Ex/A (MeV/nucleon)

T (MeV)


4.7225.764.65004.44166666675.66015.843.6742346142

6.0635.765.222.54950975685.760.33355.844.5

5.2645.72.82842712473.60555127555.91079545450.6675.845.1961524227

5.5283.46410161514.41588043326.17142857141.00055.845.8094750193

5.05745.09901951366.0481.3346.3639610307

4.4721359555.70087712556.23773584911.66756.3639610307

4.89897948566.24499799846.11590909092.001

5.29150262216.74536878166.31473214292.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(e)

Odeh

Wada

Lunardon

Fermi Gas, K=8

Fermi Gas, K=13

Kwiatkowski

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


4.044.644.5534.7226.73.73.066.94.483.015.764.653.63.95.66

4.675.285.246.0636.54.87.63.55.765.24.44.86.048844652

5.545.925.75.2646.35.62.26.845.75.25.055.991670552

6.316.215.895.52865.84.55.355.26.441290966

7.066.485.915.0572.755.755.46.58941267

7.66.565.985.15165.735.56.055.86.819554209

8.256.566.065.04655.83.766.155.857.404979251

8.716.626.25.63274.86.56.556.157.12493503

8.856.746.275.551876.76.67.170281693

8.646.976.34.74656.96.497.389472627

8.647.356.565.45857.317.156.977259732

9.047.675.57867.16.977.934971278

105.5619778.744590623

10.55.64067.67.610.12487197

5.48657.55122.6

5.67228.5

6.159

6.006

6.071

6.513

7.005

8.076

10.962

Hauger

Hauger

Hauger

Odeh

Wada

Hagel

Chulick

Cibor

Gonin

Cussol

Wada

Lunardon

Kwiatkowski

Kwiatkowski

Ruangma

A

T (MeV)

11.331368421111.079534473513.162505312910.202272727311.206666666713.152268518514.63540864968.16.92005813952524.5110.37121212128.142260869613.380266666714.4159.21611.0281081081818

11.250363196111.005050100215.065561065610.833333333313.939216.588811.96670533468.310.369838420112.516.333333333312.4540540541010.46.14410.9263026052812

11.083617963310.406790518914.037333333312.40312512.695510204113.975001162211.8543512319.6511.85641025648.333333333312.2512.88.06666666675.601724137910.949554049289

10.24551009569.47871584717.148588103315.65217391310.25830412.695510204110.855089833911.113.19215686276.259.8011.206332676687.2

9.57591790198.37805229079.524487523309.560347321110.45094410.33473769112.458.16666666678.47674418611.503254096586

8.22822179737.48125523017.65915802611.20344827598.89013888899.727337130710.966743541514.64.166666666778.490566037711.31218174785.1428571429

7.05468852466.67944707177.070283800714.01666666677.97516840728.31207644639.229945305815.33.57142857146.12511.408333333311.400753768884.5

6.23320248055.95968992257.334098310212.12631578957.80045454557.97516840728.568823259515.753.1255.444444444484

5.78253564155.831044200512.526918616.89047097217.928.40066241622.77777777784.983.6

5.59043728425.78655780736.36060481376.55126346886.46530020926.95459333832.54.454545454583.2727272727

5.56073082866.71980012496.61968945796.94533790037.0345928738.12435731392.27272727274.083333333383

5.58785144386.19195741356.2254692376.31428502458.73918459022.08333333333.769230769282.7692307692

5.05304338615.67643823796.051338873510.51415717011.92307692313.582.5714285714

6.96505436956.29764365186.6912463813.05034630661.78571428573.266666666782.4

5.05570746565.86977180331.66666666678

4.63533393467.04829495498

6.3903775278

4.70607123298

4.09431692968

5.43974980768

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

Hauger La

Hauger Au

Aladin

Wada

Kwiatkowski Ag

Kwiatkowski

Ruangma

Shlomo Calc

Cibor

T=5

T=7.5

hagel

Hagel


Chulick

Lunardon

WADA Au

Hauger Kr

T=6.25

Ex/A (MeV/nucleon)

Apparent K (MeV)


1.481.91.8711.6944.41.321.156.881.153.61.51.51.51.51.5

1.9962.4782.4952.443.91.855.571.595.42.6222.5

2.8033.1623.1221.9743.22.450.63.925.832.53

3.5533.7643.661.7822.32.552.453.533.5

4.3334.3854.1692.6850.862.8543.54

5.1065.234.783.4652.91.063.44.544.5

5.976.15.4983.6022.41.23.8754.55

6.957.03086.454.3261.94.455.555.5

7.8417.8566.7422.46055.1965.56

9.2258.696.8593.5426.566.5

10.6819.7156.4044.50176.57

12.117110.5285.0267.577.75

13.92556.12287.58.75

15.2264.5688.589.75

5.954911

6.9419.5

5.936

7.665

9.002

7.798

10.119

11.06

11.7635

Hauger

Hauger

Hauger

Odeh

Wada

Hagel

Chulick

Cibor

Cussol

Wada

Lunardon

Kwiatkowski

Kwiatkowski

Ruangma

Gonin

A

Ex (MeV/nucleon)

4.044.644.5534.7223.016.73.74.483.065.663.63.94.656.9000

4.675.285.246.0633.56.54.86.0488446524.44.85.27.622.54950975680.3335

5.545.925.75.26446.35.62.25.9916705525.25.055.76.82.82842712473.60555127550.667

6.316.215.895.5284.566.4412909665.355.25.845.09901951361.0005

7.066.485.915.05752.76.589412675.755.44.89897948566.24499799841.334

7.66.565.985.15165.55.736.8195542096.055.85.65685424957.21110255091.6675

8.256.566.065.046565.83.77.4049792516.155.856.32455532038.06225774832.001

8.716.626.25.63276.54.87.124935036.556.158.485281374210.81665382642.3345

8.856.746.275.551877.1702816936.76.69.797958971112.48999599682.668

8.646.976.34.74657.3894726276.96.4910.583005244313.49073756323.0015

8.647.356.565.45856.9772597327.317.1511.31370849914.42220510193.335

9.047.675.57867.9349712787.16.971215.29705854083.6685

105.56198.7445906237712.649110640716.12451549664.002

10.55.640610.124871977.67.64.3355

3.65.486511.98139437.554.669

5.45.67228.55.0025

6.1595.336

1.56.0065.6695

2.66.0716.003

5.86.5136.3365

7.0056.67

8.0767.0035

10.9627.337

7.6705

8.004

Hauger Kr

Hauger La

Hauger Au

Odeh

Cussol

Wada

Hagel

Gonin

Chulick

Ruangma

Kwiatkowski Ag

Kwiatkowski Au

Lunardon

Cibor

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T (MeV)

98.796.96.23076923089.326.86.976.2756.6275.84

7.873.73699230778.19

6.643.02889423086.77

6.033.37824069236.11

5.352.62350769235.42

T crit

Zhang T

Cibor T

Zhang( K=13)

Zhang-Gogny

A

T (MeV)

7.71428571433.73.7

4.2614824561

3.5796022727

3.9924662727

2.5263407407

CIBOR

A

Ex/A (MeV/nucleon)

Chart8

4.7225.764.65004.44166666675.66015.843.6742346142

6.0635.765.222.54950975685.760.33355.844.5

5.2645.72.82842712473.60555127555.91079545450.6675.845.1961524227

5.5283.46410161514.41588043326.17142857141.00055.845.8094750193

5.05745.09901951366.0481.3346.3639610307

4.4721359555.70087712556.23773584911.66756.3639610307

4.89897948566.24499799846.11590909092.001

5.29150262216.74536878166.31473214292.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(e)

Odeh

Wada

Lunardon

Fermi Gas, K=8

Fermi Gas, K=13

Kwiatkowski

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


Sheet1

Sheet1

8.257.0053.0100096.4807406984

8.718.0763.522.54950975680.333597.2456883731

8.8510.96242.82842712473.60555127550.66797.9372539332

8.644.53.46410161514.41588043321.000598.5732140997

8.64545.09901951361.33498.8741196746

9.045.54.4721359555.70087712551.667599.4472218138

1064.89897948566.24499799842.001

10.56.55.29150262216.74536878162.3345

75.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(a)

Hauger

Odeh

Cussol

Fermi Gas, K=8

Fermi Gas, K=13

vaporization

mean

Ex/A (MeV/nucleon)

T (MeV)


Sheet2

4.046.566.36.0716.150006.974.7749345545

4.676.626.566.5136.552.82842712473.60555127550.33356.976.3166446789

5.546.746.73.46410161514.41588043320.6676.976.7527772065

6.316.976.945.09901951361.00056.977.1624018318

7.067.357.314.4721359555.70087712551.3347.5498344353

7.67.677.14.89897948566.24499799841.66757.5498344353

8.2575.29150262216.74536878162.001

7.65.65685424957.21110255092.3345

7.5567.64852927042.668

8.56.63324958078.45576726263.0015

7.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(b)

Hauger

Hauger

Hauger

Odeh

Kwiatkowski

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T(MeV)


Sheet3

4.645.985.48656.73.066.93.6008.74459062306.2754.3243496621

5.286.065.67226.57.64.422.549509756810.124871970.33356.2755.7445626465

5.926.26.1596.32.26.85.22.82842712473.605551275511.98139430.6676.2756.6332495807

6.216.276.00665.85.353.46410161514.41588043321.00056.2757.0356236397

6.485.7545.09901951361.3346.2757.4161984871

6.565.76.054.4721359555.70087712551.66757.4161984871

5.86.154.89897948566.24499799842.001

4.85.29150262216.74536878162.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(c)

Hauger

Hauger

Odeh

Wada

Chulick

Cibor

Kwiatkowski

Fermi Gas, K=8

Fermi Gas, K=13

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


5.245.15165.64063.76.66.0488446520004.486.6274.0620192023

5.75.04654.86.22830645165.9916705522.82842712473.60555127550.33356.6275.7445626465

5.895.63275.66.76201550396.4412909663.46410161514.41588043320.6676.6276.6332495807

5.915.55186.64830769236.5894126745.09901951361.00056.6277.0356236397

4.74652.76.73684210536.8195542094.4721359555.70087712551.3346.6277.4161984871

5.458537.31641791047.4049792514.89897948566.24499799841.66757.4161984871

5.57863.77.124935035.29150262216.74536878162.001

7.1702816935.65685424957.21110255092.3345

7.38947262767.64852927042.668

6.9772597326.63324958078.45576726263.0015

7.9349712787.21110255099.19238815543.335

7.74596669249.87420882913.6685

8.246211251210.51189802084.002

8.717797887111.11305538544.3355

9.165151389911.68332144554.669

9.591663046612.22701926065.0025

1012.7475487845.336

10.392304845413.24764129955.6695

10.770329614313.72953021776.003

11.135528725714.19506956666.3365

11.489125293114.64581851596.67

7.0035

7.337

7.6705

8.004

(d)

`

Hauger

Odeh

Odeh

Hagel

Kwiatkowski

Ruangma

K=8

K=13

vaporization

Gonin

Ex/A (MeV/nucleon)

T (MeV)


4.7225.764.65004.44166666675.66015.843.6742346142

6.0635.765.222.54950975685.760.33355.844.5

5.2645.72.82842712473.60555127555.91079545450.6675.845.1961524227

5.5283.46410161514.41588043326.17142857141.00055.845.8094750193

5.05745.09901951366.0481.3346.3639610307

4.4721359555.70087712556.23773584911.66756.3639610307

4.89897948566.24499799846.11590909092.001

5.29150262216.74536878166.31473214292.3345

5.65685424957.21110255092.668

67.64852927043.0015

6.32455532038.06225774833.335

6.63324958078.45576726263.6685

6.92820323038.83176086634.002

7.21110255099.19238815544.3355

7.48331477359.53939201424.669

7.74596669249.87420882915.0025

810.19803902725.336

8.246211251210.51189802085.6695

8.485281374210.81665382646.003

8.717797887111.11305538546.3365

8.9442719111.4017542516.67

9.165151389911.68332144557.0035

9.380831519611.95826074317.337

9.591663046612.22701926067.6705

9.797958971112.48999599688.004

1012.747548784

10.198039027213

10.392304845413.2476412995

10.583005244313.4907375632

10.770329614313.7295302177

10.954451150113.9642400438

11.135528725714.1950695666

11.31370849914.4222051019

11.489125293114.6458185159

11.661903789714.8660687473

11.832159566215.083103129

1215.2970585408

12.165525060615.5080624193

12.328828005915.7162336455

12.489995996815.9216833281

12.649110640716.1245154966

(e)

Odeh

Wada

Lunardon

Fermi Gas, K=8

Fermi Gas, K=13

Kwiatkowski

Ruangma

vaporization

Ex/A (MeV/nucleon)

T (MeV)


4.044.644.5534.7226.73.73.066.94.483.015.764.653.63.95.66

4.675.285.246.0636.54.87.63.55.765.24.44.86.048844652

5.545.925.75.2646.35.62.26.845.75.25.055.991670552

6.316.215.895.52865.84.55.355.26.441290966

7.066.485.915.0572.755.755.46.58941267

7.66.565.985.15165.735.56.055.86.819554209

8.256.566.065.04655.83.766.155.857.404979251

8.716.626.25.63274.86.56.556.157.12493503

8.856.746.275.551876.76.67.170281693

8.646.976.34.74656.96.497.389472627

8.647.356.565.45857.317.156.977259732

9.047.675.57867.16.977.934971278

105.5619778.744590623

10.55.64067.67.610.12487197

5.48657.55122.6

5.67228.5

6.159

6.006

6.071

6.513

7.005

8.076

10.962

Hauger

Hauger

Hauger

Odeh

Wada

Hagel

Chulick

Cibor

Gonin

Cussol

Wada

Lunardon

Kwiatkowski

Kwiatkowski

Ruangma

A

T (MeV)

11.331368421111.079534473513.162505312910.202272727311.206666666713.152268518514.63540864968.16.92005813952524.5110.37121212128.142260869613.380266666714.4159.21611.0281081081818

11.250363196111.005050100215.065561065610.833333333313.939216.588811.96670533468.310.369838420112.516.333333333312.4540540541010.46.14410.9263026052812

11.083617963310.406790518914.037333333312.40312512.695510204113.975001162211.8543512319.6511.85641025648.333333333312.2512.88.06666666675.601724137910.949554049289

10.24551009569.47871584717.148588103315.65217391310.25830412.695510204110.855089833911.113.19215686276.259.8011.206332676687.2

9.57591790198.37805229079.524487523309.560347321110.45094410.33473769112.458.16666666678.47674418611.503254096586

8.22822179737.48125523017.65915802611.20344827598.89013888899.727337130710.966743541514.64.166666666778.490566037711.31218174785.1428571429

7.05468852466.67944707177.070283800714.01666666677.97516840728.31207644639.229945305815.33.57142857146.12511.408333333311.400753768884.5

6.23320248055.95968992257.334098310212.12631578957.80045454557.97516840728.568823259515.753.1255.444444444484

5.78253564155.831044200512.526918616.89047097217.928.40066241622.77777777784.983.6

5.59043728425.78655780736.36060481376.55126346886.46530020926.95459333832.54.454545454583.2727272727

5.56073082866.71980012496.61968945796.94533790037.0345928738.12435731392.27272727274.083333333383

5.58785144386.19195741356.2254692376.31428502458.73918459022.08333333333.769230769282.7692307692

5.05304338615.67643823796.051338873510.51415717011.92307692313.582.5714285714

6.96505436956.29764365186.6912463813.05034630661.78571428573.266666666782.4

5.05570746565.86977180331.66666666678

4.63533393467.04829495498

6.3903775278

4.70607123298

4.09431692968

5.43974980768

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

8

Hauger La

Hauger Au

Aladin

Wada

Kwiatkowski Ag

Kwiatkowski

Ruangma

Shlomo Calc

Cibor

T=5

T=7.5

hagel

Hagel


Chulick

Lunardon

WADA Au

Hauger Kr

T=6.25

Ex/A (MeV/nucleon)

Apparent K (MeV)


1.481.91.8711.6944.41.321.156.881.153.61.51.51.51.51.5

1.9962.4782.4952.443.91.855.571.595.42.6222.5

2.8033.1623.1221.9743.22.450.63.925.832.53

3.5533.7643.661.7822.32.552.453.533.5

4.3334.3854.1692.6850.862.8543.54

5.1065.234.783.4652.91.063.44.544.5

5.976.15.4983.6022.41.23.8754.55

6.957.03086.454.3261.94.455.555.5

7.8417.8566.7422.46055.1965.56

9.2258.696.8593.5426.566.5

10.6819.7156.4044.50176.57

12.117110.5285.0267.577.75

13.92556.12287.58.75

15.2264.5688.589.75

5.954911

6.9419.5

5.936

7.665

9.002

7.798

10.119

11.06

11.7635

Hauger

Hauger

Hauger

Odeh

Wada

Hagel

Chulick

Cibor

Cussol

Wada

Lunardon

Kwiatkowski

Kwiatkowski

Ruangma

Gonin

A

Ex (MeV/nucleon)

4.044.644.5534.7223.016.73.74.483.065.663.63.94.656.9000

4.675.285.246.0633.56.54.86.0488446524.44.85.27.622.54950975680.3335

5.545.925.75.26446.35.62.25.9916705525.25.055.76.82.82842712473.60555127550.667

6.316.215.895.5284.566.4412909665.355.25.845.09901951361.0005

7.066.485.915.05752.76.589412675.755.44.89897948566.24499799841.334

7.66.565.985.15165.55.736.8195542096.055.85.65685424957.21110255091.6675

8.256.566.065.046565.83.77.4049792516.155.856.32455532038.06225774832.001

8.716.626.25.63276.54.87.124935036.556.158.485281374210.81665382642.3345

8.856.746.275.551877.1702816936.76.69.797958971112.48999599682.668

8.646.976.34.74657.3894726276.96.4910.583005244313.49073756323.0015

8.647.356.565.45856.9772597327.317.1511.31370849914.42220510193.335

9.047.675.57867.9349712787.16.971215.29705854083.6685

105.56198.7445906237712.649110640716.12451549664.002

10.55.640610.124871977.67.64.3355

3.65.486511.98139437.554.669

5.45.67228.55.0025

6.1595.336

1.56.0065.6695

2.66.0716.003

5.86.5136.3365

7.0056.67

8.0767.0035

10.9627.337

7.6705

8.004

Hauger Kr

Hauger La

Hauger Au

Odeh

Cussol

Wada

Hagel

Gonin

Chulick

Ruangma

Kwiatkowski Ag

Kwiatkowski Au

Lunardon

Cibor

K=8

K=13

vaporization

Ex/A (MeV/nucleon)

T (MeV)

98.796.96.23076923089.326.86.976.2756.6275.84

7.873.73699230778.19

6.643.02889423086.77

6.033.37824069236.11

5.352.62350769235.42

T crit

Zhang T

Cibor T

Zhang( K=13)

Zhang-Gogny

A

T (MeV)

7.71428571433.73.7

4.2614824561

3.5796022727

3.9924662727

2.5263407407

CIBOR

A

Ex/A (MeV/nucleon)

Critical Temperature of Symmetric Nuclear Matter16.6 0.86 MeV

Chart2

17.475728155315.102925243815.349804305317.62517.30370370372.422.421.551.551.541.542.122.121.661.6616.571432281617.417564933915.7252996294

16.571432281617.417564933915.7252996294

A

Tcrit, MeV

Sheet1

108.79Zhang,LLChiral Symhttp://wwwinfo.cern.ch/asd/geant4/G4UsersDocuments/UsersGuides/PhysicsReferenceManual/html/node64.html450.15

507.87PRCConstruct T vs Tc plotSelectedincompressibilitiesGRAPHICALHARDY METHOD0SJ1SJ2Sk1Sk3SkM*GoGnyZMChirsymBOD 1Bod 2B0d3B0d4Bod5Bod6450.53

3.251096.64593,292SIZE VARIATION TESTSygma@cyclotronmail.tamu.eduCALCS222384194228224.7200300200200300expt STDevCalc Std DevEXPTSTD DEVZExATERRORS100.54945054950.55069930070.52447552450.5220547180.50171821310.5861635220.57055214720.59391891890.56666666670.56666666670.62307692310.60.62153846150.6012269939GognyTEST450.25

6.98212002191506.03bulkSkm*Sj1Sk3Sk1SJ2Chir SymGognyZMFPBOD 1Bod 2B0d3B0d4Bod5Bod6QHBDSj1Sk3Chir SymGognyZMBOD 1Bod 2B0d3Bod5BDSLOPECHECKINTERCPTcheckEXPTsITcdeltadelta4591.17203.73414.3500.46269519950.47858391610.4670329670.46342825240.44673539520.51509433960.49693251530.53175675680.50666666670.50666666670.54692307690.53846153850.54692307690.5398773006016.571432281617.417564933915.725299629415.845

2085.35??D'EnterriaESTIM??Song, SUElliott14.5517.2917.9120.0222.8814.815.816.317.515151319.51316.320.22017.2917.9114.815.816.31515131320SLOPE4591.170.1715.1122.748538011729.5906432749215.90643274854806.970.6355.12115.31090.38461538460.39991258740.37962037960.40201005030.38487972510.42578616350.39877300610.44864864860.41333333330.41333333330.45615384620.46153846150.45615384620.441717791425016.571432281617.417564933915.7252996294109.320.5898734177

EXPTSTD DEVZExATZ16SONG SUHyperscalingLattice Scaling ??107.39.59.3510.512.68.799.329.37.18.58.58.111.78.089.812.79.1109.59.358.799.329.38.58.58.18.089.10.19223587290.25714285715.80528254149.650.19223587295.814750849806.970.60.1754.4414.457142857117.8857142857211.028571428641206.2750.54972935.41500.35858877960.36057692310.34965034970.36850921270.35051546390.38427672960.36809815950.40743243240.380.380.41153846150.42564102560.41153846150.3987730061508.190.5183544304800.15

0.85381496824591.17203.73414.31251562545.8211143695Tceff/TcScalingTceff/Tcb0.5506.588.39.3510.957.878.198.16.57.67.67.1110.57.118.810.78.25088.37.878.198.17.67.67.117.118.20.17158970115.01820597738.450.17158970115.0951668251206.2750.50.1863.6114.327956989217.0161290323211.639784946241606.6270.71706.31175.52080.30653556970.31905594410.29970029970.32384142940.30584192440.34088050310.32208588960.36148648650.340.340.36153846150.38461538460.36153846150.36503067481096.770.4284810127800.47

7.0710678119806.970.6355.12115.380640030.3317535545ATc=14TC=22.9BE/NUCSLOPE14.5517.2917.9120.0222.88314.8rellcorr1095.66.657.27.69.156.646.776.55.66.26.25.9395.937.28.87.11096.657.26.646.776.56.26.25.935.937.10.18229259763.85414804857.50.18229259763.62995403231606.6270.710.20352.7918.85503685522.343980344215.366093366142105.840.418071805.8AVG0.41237709660.42176573430.40409590410.41596873260.39793814430.45044025160.43128834360.46864864860.44133333330.44133333330.47984615380.48205128210.47953846150.46932515341506.110.3867088608800.25

10.38461538461206.2750.54972935.41101210041.296928327610712.57.70.481250.61797752810.50445963160.52244916530.52575612140.53547576020.54578848120.631.1-0.95082175160.72783807580.04411397940.51563533151505.16.26.678.256.036.1165.25.75.75.358.35.356.57.76.71506.26.66.036.1165.75.75.355.356.70.2021720932.956558140470.2021720932.777659212105.840.410.20852.0218.321342925720.2877697842216.354916067148.8888888889400101016.6NORMFA11.02276711720.97991839861.00870959130.9649860471.09230181621.04585911081.13645654071.07021785881.07021785881.16361009821.16895745681.16286395511.13809704092085.420.3430379747

11.66666666671606.6270.71706.31175.548230419.6923076923506.410.958.80.550.51123595510.45918761340.46743587580.46895212640.47340861390.4781370315-15-0.42675105258.48408442320.51421701920.70759806932084.455.35.867.35.355.425.254.85.15.14.77.54.75.956.76.32085.35.85.355.425.255.15.14.74.76.30.20836194650.22.03276106986.20.20836194652.007797625715.312512258656.9100.54945054950.53844056130.5352236730.51754709440.51992276430.53663146330.54553442370.52260592260.52948720860.52948720860.53546881730.51327787550.53448940330.52827392770.53113149240.00889754231.6752051931200.15

60-100100-140140-180180-2105.840.418071805.872518428.81095.359.18.530.5331250.42134831460.38362485040.38960300490.39070194920.39393191080.397358961310-0.295732783510.42315480490.63174331220.7679203802test TC17.74200352780.894427191500.46269519950.46793048780.47660393730.45942683240.46294492710.47156777730.47514288510.46790769180.47342385710.47342385710.47002262850.46063399090.47032421510.47436842480.46902976510.00533702911.13788708994591.170.5316.98113207551200.415

65.01996015924.5825756954.5825756954.17133072298.8888888889400101016.640160015.84158415841504.98.158.20.51250.36516853930.35057338120.35288632120.35331150130.35456116920.355887090450-0.126204276612.93217670640.78381414260.86427894220.56666666670.56666666670.62307692310.60.62153846150.60122699390.455AVGSTD DEVZEXAT1090.38461538460.39101040760.38739999180.3985389390.39884486030.38980633120.38128750040.39477853540.38621419920.38621419920.39201606010.3948291350.39226759430.38811962030.39042448270.0049048521.2562869867806.970.60.4714.8297872341200.25

127.09929573976.48074069846.48074069845.899152481515.312512258656.93090013.84615384622084.27.257.850.4906250.34269662920.30161396190.30812445980.3093212630.31283884650.3165710694109-0.083559640313.56331732320.82206732710.89532848320.50666666670.50666666670.54692307690.53846153850.54692307690.53987730060.414591.17203.73414.3????????1096.976.2756.6275.841500.35858877960.35255036750.3568157820.36532736070.3632337120.35180453230.35195769270.35851123020.35506789280.35506789280.35367384850.36412020230.35390078070.35038576830.35650041730.00480124971.3467725251119.46.2750.50.41515.1204819277

137.38918128086.74536878166.74536878166.140032573220.008333333324013410.2704402516150-0.070571437413.75554272590.83371803310.90589623990.41333333330.41333333330.45615384620.46153846150.45615384620.44171779140.355100.54945054950.5220547180.59391891890.58987341770.57055214720.56666666670.56666666670.62307692310.62153846150.5781998299806.970.6355.12115.31596.976.2756.6275.842080.30653556970.31195365860.30584209880.32104525640.31693921930.31207537890.30796298110.3180821030.31769232520.31769232520.31070412860.32902427920.31090348960.32073774180.31479932540.0060655141.92678748451606.6270.710.37717.57824933691600.15

147.6681158051776.371812928830.6254900solve equation208-0.059362401613.92143645570.84377278680.9156115522SKYRMEPOL:YNOMIAL DET0.380.380.41153846150.42564102560.41153846150.39877300610.335500.46269519950.46342825240.53175675680.51835443040.49693251530.50666666670.50666666670.54692307690.54692307690.50892740461206.2750.54972935.4!!!!!!!!!!!also evaluate slope uncertainties2096.976.2756.6275.840.41237709660.41237709660.41237709660.41237709660.41237709660.41237709660.41237709660.41237709660.41237709660.41237709660.41237709660.41237709660.41237709660.41237709662105.840.410.3417.17647058821600.377

157.93725393327.24568837317.24568837316.595452979130.47619047626400100000000-0.000058505414.79913412050.8969696970.9989227760.340.340.36153846150.38461538460.36153846150.36503067480.3151090.38461538460.40201005030.44864864860.42848101270.39877300610.41333333330.41333333330.45615384620.45615384620.42238916241606.6270.71706.31175.5from fits11 APRIL SELECTIONGRAPH16.33722423251600.25

Test POYNOMSOLSKYRMEx^201500.35858877960.36850921270.40743243240.38670886080.36809815950.380.380.41153846150.41153846150.38582381872105.840.418071805.8T/TCAVG SKYRMEAVGSTDEVfractdevAwindTLIMStdevFITdev-dev+

0.0163636364withrelcorrLATTICE GAS SCALINGUSINGGOGNY FACTORS0.5421831212-0.00166826540.000002555314.5517.2917.9120.0222.88100.5257561000.135054-99-11781-331-393890.4515441818MEAN BODMERstdevfractdev2080.30653556970.32384142940.36148648650.34303797470.32208588960.340.340.36153846150.36153846150.3400071414101016.645SJ1SJ2Sk1Sk3SkM*GoGnyMean BodZMChirsymTCRITDEVfract devsquared2100.15

0.736363636445910.385279945515.8316.5rellcorrPOLY FIT PAR Tlim/TCSKYRME FACTORSDERIVED TC100.5257560.99999976914.5517.2917.9120.0222.881090.39070211881stdevFACGRAPsigsq8656.980100.54945054950.55069930070.52447552450.5220547180.50171821310.52967966110.5861635220.59652928530.57055214720.59391891890.57536870690.02747315340.04774877934591.170.51517.47572815532.42024298250.13849168185.857576094215.055485172919.89597113782100.34

10.2363636364807.38918128088.195314602815.80.631.1-0.95082175160.8114410980.0491811257SUMMARY EXPT T0.5421831212-0.00166826540.00000255530.6050596726-0.0019194530.0000029838500.46515816290.991909699614.5517.2917.9120.0222.883410.27044025161162810.2553157484-331-116181100.59652928530.02509144190.04206238070.03274687460.03154591.170.5150.0313430217.47572815531.36891296.976.2756.6275.84120500.46269519950.47858391610.4670329670.46342825240.44673539520.4636951460.51509433960.5309197210.49693251530.53175675680.50767969580.02839420310.0559293652806.970.60.461515.10292524381.55041760860.10265677572.403794761213.552507635116.65334285242100.2085

5.327272727312077.603418081615.8-110-0.295732783511.62040907310.7043084224TC CALCFROM TLIMchirfaccor1090.3907021.0000001314.5517.2917.9120.0222.88500.5309197210.01910891590.03599210040.031343020.029806.970.60.460.026388170715.1521739130.361396.976.2756.6275.841601090.38461538460.39991258740.37962037960.40201005030.38487972510.39020762540.42578616350.44037176870.39877300610.44864864860.42075744250.02551732730.0606461698119.46.2750.50.408815.34980430531.53705612310.1001352262.362541525613.812748182216.8868604284

1607.24568837317.77557658315.845-0.133439493314.29824836020.86661120814590.472285710819.056261483116.76310955540.52472646417.15179358621500.34943810470.989036879214.5517.2917.9120.0222.88-76792-0.19622843341090.44037176870.02195514780.04985593850.02638817070.0245119.46.2750.50.410.026388170715.30487804880.251496.976.2756.6275.842101500.35858877960.36057692310.34965034970.36850921270.35

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