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Neutron Star Equations of State and Gravitational Waves [email protected] Chang-Hwan Lee @ 1
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Page 1: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Neutron Star Equations of State

and Gravitational Waves

[email protected]

Chang-Hwan Lee @

1

Page 2: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Astro-Hadron Group in Pusan Nat’l Univ

Problems related to NS - dense matter physics/ NS equation of states - formation and evolution of NS - GW from NS binaries

LSC(LIGO Scientific Collaboration) members - Dr. Hee-Suk Cho - Y.M. Kim (NIMS) - M.G. Kim (1st year in Ph.D., pre-LSC member)

Non-LSC members (2 students) - working on hadron physics (dense matter physics) - dense matter physics / NS equation of states

3

Page 3: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

From NS Equation of States

NS Equation of States

dense matter physics

kaon condensation

new approaches in hQCD

Gravitational Waves

sources : neutron star binaries

GW waveform generation

GW data analysis

4

To Gravitational Waves

Today

Page 4: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Contents

Motivations

Open problems in NS mass observations

Possibilities of `NS + high-mass NS/BH` binaries

A new approach to NS Equation of state in hQCD

5

Page 5: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

6

Gravitation Wave from Binary Neutron Star

Effect of Gravitational Wave Radiation

1993 Nobel Prize Hulse & Taylor

B1913+16 Hulse & Taylor (1975)

Gravitational Wave Observatory

Weisberg, Nice, Taylor, ApJ (2010)

Page 6: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

7

Neutron Stars

Gravitational waves from NS-NS and NS-BH Binaries

Cosmological Heavy Ion Collisions

LIGO, VIRGO, ..

Page 7: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Network of Gravitational Wave Interferometers

LIGO GEO Virgo KAGRA

AIGO?

8

LIGO India?

Page 8: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

9

KGWG

Page 9: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

GRBs from NS Binaries

Origin of gamma-ray bursts (GRBs)

10

1970s : Vela Satellite

1990s: CGRO, Beppo-SAX

2000s: HETE-II, Swift

T90=milli sec – min

Brightest event in the Universe

Page 10: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

11

Two groups of GRBs

Long-duration Gamma-ray Bursts:

=> HMBH Binaries

Short Hard Gamma-ray Bursts:

Duration time < 2 sec

=> NS-NS, NS-BH Binaries

Page 11: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

seen NS-NS binaries which will coalesce within Hubble time

12

Globular Cluster : no binary evolution White Dwarf companion

Page 12: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Can we see BH-NS binaries as pulsars if they exist ?

Pulsar life time : 1/B Fresh pulsar : B∼1012 G Recycled pulsar : B∼108 G

NS(recycled)-NS(fresh) first-born NS is recycled by accretion NS(recycled) : longer pulsar life time

BH-NS(fresh) one can see only NS(fresh) : short life time

13

~104

bigger chance

~104 times longer lifetime + beaming effect

Page 13: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

GW sources with NS

NS-NS – already seen

NS-BH – no evidence yet - contribution to GW is still unknown

Q) what is the boundary between NS & BH ? - maximum mass of neutron stars

14

Page 14: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Contents

Motivations

Open problems in NS mass observations

Possibilities of `NS + high-mass NS/BH` binaries

A new approach to NS Equation of state in hQCD

15

Page 15: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

http://www.nrao.edu/pr/2010/bigns/

1.97 Msun NS discovered in a NS-White Dwarf Binary

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Page 16: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Lattimer & Prakash (2007)

All well measured NS masses in NS-NS binaries are < 1.5 Msun

17

Page 17: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

1.97 Msun NS was observed in a NS-WD binary Why all well-measured NS masses in NS-NS binaries are

less than 1.5 Msun? NS mass may/should depend on the evolution process.

Nature 467, 1081

Wanted

18

Page 18: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Accretion process is essential in understanding NS binaries

19

Page 19: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Contents

Motivations

Open problems in NS mass observations

Possibilities of `NS + high-mass NS/BH` binaries

A new approach to NS Equation of state in hQCD

20

Page 20: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Eddington Luminosity & Eddington Limit

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Page 21: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Supercritical Accretion onto first-born NS

Eddington Accretion Rate : photon pressure balances the gravitation attraction

If this limit holds, neutron star cannot be formed from the beginning (e.g. SN1987A; 108 Eddington Limit).

Neutrinos can take the pressure out of the system allowing the supercritical accretion when accretion rate is bigger than 104 Eddington limit ! (T > 1 MeV : Thermal neutrinos dominates !)

Q) What is the implications of supercritical accretion ?

[Lee,Park,Brown, ApJ 670,741(2007)]

22

Page 22: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

23

Giant Star

One has to understand formation of BH/NS

BH or NS Fe core mass

Page 23: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Fe core mass before collapse (Brown et al. New Aston. 6,457)

Neutron Star

□ & ○ : evolution without H envelope

J1614-2230

?

24

Page 24: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Fresh NS mass from Fe core collapse

In close binaries (evolution without H envelope)

low Fe core mass NS mass = 1.3 - 1.5 Msun

This value is independent of NS equation of state.

Q) What is the fate of primary (first-born) NS in binaries ?

Note: Accurate mass estimates of NS come from binaries

25

Page 25: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Final fate of first-born NS

Evolution of Companion

1st-born NS

NS + accretion

He

Accretion

Fe 2nd

NS/WD

26

Page 26: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Evolution of binary stars

90% 10%

<1%

Probability = 1/M2.5

Life Time = 1/M2.5

∆M=4%, ∆Tlife=(1 - 1/1.042.5)= 10%, ∆P=10% (population probability)

H He

Original ZAMS(Zero Age Main Sequence) Stars

red giant

Life time

super giant

A

B

27

Page 27: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

NS

NS A

B

Life time

He

H

H common envelope

H

He

He common envelope

Case 1 : ∆Τ < 1%

A

B

No accretion : nearly equal mass NS-NS binary!

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Page 28: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

H red giant He red giant

NS

NS A

B

Life time

He

+0.2 Msun

First born NS should accrete only < 0.2 M⊙ !

H

H common envelope

Case 2 : 1% <∆Τ < 10%

A

B

No accretion

29

Page 29: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

H red giant He red giant

WD

NS

90% 10%

A

B

Life time

H He He

+0.7 Msun +0.2 Msun

Supercritical Accretion: First born NS can accrete up to 0.9 M⊙ !

Case 3 : ∆Τ > 10%

A

B

30

Page 30: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

How mass & orbit change during the evolution? A few efficiencies (not calculable from first principles)

cd=6, αceλ=0.2 are consistent with

SXT(Soft X-ray Transient) Lee,Brown,Wijers,ApJ(2002)

Belczynski et al., ApJ, 572, 407 31

Page 31: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Final mass of first-born NS with supercritical accretion

Fina

l mas

s of

1st-b

orn

NS

Original mass of 2nd star

WD NS

J1614-2230

NS + NS

Fate of 2nd star

without accretion

maximum NS mass ?

32

seen

seen no evidence yet

Page 32: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Contents

Motivations

Open problems in NS mass observations

Possibilities of `NS + high-mass NS/BH` binaries

A new approach to NS Equation of state in hQCD

33

Page 33: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Nature 467, 1081

Which one is right EOS ?

34

refer talks by M.G. Cheon (Tue) & H.K. Lee (Thu)

Page 34: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

proton, neutron: u, d quarks

By introducing strange quark - we have one more degrees of freedom - energy of the system can be reduced!

In what form ? kaon, hyperons … …

Why strange quarks in neutron stars ?

Kaon is the lighest particle with strange quark !

35

Page 35: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Kaon Condensation in Dense Matter

36

Page 36: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Neutrinos

Neutron Star

Reduce Pressure Soft EoS

Astrophysical Implications

37 Formation of low mass Black Hole

Page 37: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Conventional approach : - from zero density to higher density

Top-down approaches : - from high density where chiral symmetry is restored to lower density - possibilities in recent hQCD

Two different approaches for kaon condensation

38

Page 38: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Problems in conventional approaches

Problem in K-p Scattering amplitude: experiment : - 0.65 + i 0.81 fm (repulsive) chiral symmetry : + ( attractive ! )

Problem of Λ(1405) pole position of Λ(1405) only 30 MeV below KN threshold

Perturbation breaks down in conventional approach !

39

Page 39: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Far below Λ(1405) pole, Λ(1405) is irrelevant !

One has to start below Λ(1405) pole !

40

Page 40: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Start from where the symmetry is fully restored !

- AdS/QCD, etc.

Wanted : New Top-down approaches

All irrelevant terms are out in the analysis from the beginning !

Q) Is there a proper way to treat strangeness in dense matter without problem of the irrelevant terms, e.g., Λ(1405), from the beginning ?

41

Page 41: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Goal: Strangeness in hQCD

density

hQCD ?

µe µK

nc

perturbation breaks down

? Λ(1405)

42

chiral symmetry restoration

Page 42: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Holographic QCD

Bottom-up approach : start from QCD and attempt to guess its 5d holographic dual, AdS/CFT dictionaries hard-wall model, soft-wall model, …

Top-down approach : start from string theory, set brane configuration with DBI action, reproduce QCD-like theory D3/D7, D4/D6, Sakai-Sugimoto …

43

refer talk by Bumhoon Lee (Fri)

Page 43: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Top-down in hQCD : one example

Related works by S.-J. Sin et al. JHEP 03(2010)074, 04(2008)010, 06(2011)011

JHEP10 (2011) 111

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Page 44: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

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Page 45: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Mass-radius relation

Far from realistic : what is the problem ?

46

Page 46: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

hQCD: What is still missing ?

• proper attraction is missing in large Nc limit & large t’Hooft coupling limit

• mass of scalar field is bigger than that of vector field

• strangeness in hQD

47

more details of hQCD itself talk by Bumhoon Lee (Fri)

Page 47: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Prospect

possibilities of different class of NS binaries typical NS + high-mass NS/BH ( > 2 solar mass) could be hidden GW sources

new approaches to NS EoS in hQCD still far from realistic how to put strangeness

48

Page 48: Neutron Star Equations of State and Gravitational Wavestheor.jinr.ru/~APCTP_2013/Chang-Hwan_Lee-Baikal.pdf1.97 Msun NS discovered in a NS-White Dwarf Binary 16 Lattimer & Prakash (2007)

Many Thanks

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