Neutrino-induced quasielastic scattering
Luis Alvarez-Ruso
Neutrino-induced quasielastic scattering from a theoretical
perspectiveLuis Alvarez-Ruso
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Outline
Motivation
º scattering on the nucleon
Quasielastic scattering models
Experimental status and comparison to data
Conclusions
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Motivation
º – Nucleus interactions (in the QE region) are important for:
Oscillation experimentsº oscillations are well established ))
Goal: Precise determination of oscillation parameters: ¢m2ij,
µij, ±
º are massive flavors are mixed
0
@ºe
º¹
º¿
1
A = V
0
@º1
º2
º3
1
A
V =
0
@1 0 00 cosµ23 sinµ23
0 ¡ sinµ23 cosµ23
1
A
0
@cosµ13 0 sinµ13 e¡ i±
0 1 0¡ sinµ13 ei± 0 cosµ13
1
A
0
@cosµ12 sinµ12 0
¡ sinµ12 cosµ12 00 0 1
1
A
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Motivation
º – Nucleus interactions (in the QE region) are important for:
Oscillation experiments Precision measurements of ¢m23
2, µ23 in º¹ disappearance
Understanding Eº reconstruction is critical
Kinematical determination of Eº in a CCQE event
Rejecting CCQE-like events relies on accurate knowledge of nuclear dynamics and FSI (¼, N propagation, ¼ absorption)
º¹ n ! ¹ ¡ p
E º =2mnE ¹ ¡ m2
¹ ¡ m2n + m2
p
2(mn ¡ E ¹ + p¹ cosµ¹ ) exact only for free nucleons wrong for CCQE-like events
P (º¹ ! º¿ ) = sin2 2µ23 sin2 ¢ m223L
2E º
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Motivation
º – Nucleus interactions (in the QE region) are important for:
Oscillation experiments Precision measurements of ¢m23
2, µ23 in º¹ disappearance
Understanding Eº reconstruction is critical
Kinematical determination of Eº in a CCQE event
Rejecting CCQE-like events relies on accurate knowledge of nuclear dynamics and FSI (¼, N propagation, ¼ absorption)
º¹ n ! ¹ ¡ p
E º =2mnE ¹ ¡ m2
¹ ¡ m2n + m2
p
2(mn ¡ E ¹ + p¹ cosµ¹ ) exact only for free nucleons wrong for CCQE-like events
P (º¹ ! º¿ ) = sin2 2µ23 sin2 ¢ m223L
2E º
GENIEEº = 1 GeV
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Motivation
º – Nucleus interactions (in the QE region) are important for:
Hadronic physics
Nucleon axial form factors
MINERvA: first precision measurement of GA at Q2>1 GeV.
Deviations from the dipole form?
Strangeness content of the nucleon spin (isoscalar coupling
GsA):
probed in NCQE reactions
Best experimental sensitivity in ratios: NCQE(p)/NCQE(n) or
NC(p)/CCQE
Experiments are performed with nuclear targets ) nuclear effects are essential for the interpretation of the
data.
º¹ (p;n) ! º¹ (p;n)
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Motivation
º – Nucleus interactions (in the QE region) are important for:
Nuclear physics
Excellent testing ground for nuclear many-body mechanisms,
nuclear structure and reaction models
Relativistic effects
Nuclear correlations
Meson exchange currents (MEC)
Nucleon and resonance spectral functions
º-nucleus cross sections incorporate a richer information on nuclear structure and interactions than e-nucleus ones
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
º scattering on the nucleon
The (CC) elementary process:
where
Vector form factors:
Extracted from e-p, e-d data
º¹ (k) n(p) ! ¹ ¡ (k0) p(p0)
M =GF cosµCp
2l®J ®
l® = ¹u(k0)°®(1¡ °5)u(k)
J ® = ¹u(p0)·°®F V
1 +i
2M¾®̄ q¯ F V
2 + °¹ °5FA +q¹
M°5FP
¸u(p)
F V12 = F p
12 ¡ F n12
GE = F1 +q2
2mNF2
GM = F1 + F2
à electric ff
à magnetic ff
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
º scattering on the nucleon
At low Q2:
MV = 0.71 GeV, GE/GM ¼ 1/¹p
At high Q2:
½(r) = ½0e¡ r =r0 ) GE (Q2) = GE (0)µ
1+Q2
M 2V
¶ ¡ 2
Bodek et al., EPJC 53 (2008)
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
º scattering on the nucleon
The (CC) elementary process:
where
Axial form factors:
gA = 1.267 Ã ¯ decay
MA = 1.016 § 0.026 GeV ( ) Bodek et al., EPJC 53 (2008)
º¹ (k) n(p) ! ¹ ¡ (k0) p(p0)
M =GF cosµCp
2l®J ®
l® = ¹u(k0)°®(1¡ °5)u(k)
J ® = ¹u(p0)·°®F V
1 +i
2M¾®̄ q¯ F V
2 + °¹ °5FA +q¹
M°5FP
¸u(p)
FA (Q2) = gA
µ1+
Q2
M 2A
¶ ¡ 2
; FP (Q2) =2M 2
Q2 + m2¼
FA (Q2)dipole ansatz PCAC
ºd; ¹ºp
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Inclusive electron-nucleus scattering (crucial test for any º-nucleus model)Relativistic Global Fermi Gas Smith, Moniz, NPB 43 (1972) 605
Impulse ApproximationFermi motionPauli blocking Average binding energy Explains the main features of the inclusive cross sections in the QE region
f (~r;~p) = £(pF ¡ j~pj)
PPauli = 1¡ £(pF ¡ j~pj)
E =q
~p2 + m2N ¡ ²B
Ankowski@NuInt09
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Inclusive electron-nucleus scatteringRelativistic Global Fermi Gas Smith, Moniz, NPB 43 (1972) 605
However
GFG overestimates the longitudinal response RL
“FG is certainly too simple to be right. Nuclear dynamics must be included in the picture” Benhar@NuInt09
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Inclusive electron-nucleus scatteringSpectral functions of nucleons in nuclei
The nucleon propagator can be cast as
Sh(p) Ã hole (particle) spectral functions: 4-momentum (p) distributions of the struck (outgoing) nucleons
§ Ã nucleon selfenergy
Can be extended to the excitation of resonances in nuclei
G(p) =Z
d!Sh(! ;~p)
p0 ¡ ! ¡ i´+
Zd!
Sp(! ;~p)p0 ¡ ! ¡ i´
Sp;h(p) = ¡1¼
Im§ (p)[p2 ¡ M 2 ¡ Re§ (p)]2 + [Im§ (p)]2
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Inclusive electron-nucleus scatteringSpectral functions of nucleons in nuclei
Hole spectral function: 80-90 % of nucleons occupy shell model statesThe rest take part in the NN interactions (correlations); located at high momentum
n(~p) =R
d! Sh(! ;~p)
Meloni@NuInt09
Benhar et al., PRD 72 (2005) Ankwowski & Sobczyk, PRC 77 (2008)
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Inclusive electron-nucleus scatteringSpectral functions of nucleons in nuclei
Hole spectral function:80-90 % of nucleons occupy shell model statesThe rest take part in the NN interactions (correlations); located at high momentum
Particle spectral functionsOptical potential: U = V – i W V ~ 25 MeV Ã fitted to p-A dataW:
Benhar et al., PRD 72 (2005) Ankwowski & Sobczyk, PRC 77 (2008)
W=¾ ½ v /2 Correlated Glauber approximation
(straight trajectories, frozen spectators) Benhar et al., PRC 44 (1991) 2328
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Inclusive electron-nucleus scattering
Spectral functions of nucleons in nuclei: Results Ankowski@NuInt09
40Ca
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Inclusive electron-nucleus scattering
Spectral functions of nucleons in nuclei: Results Ankowski@NuInt09
40Ca
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Inclusive electron-nucleus scatteringSpectral functions in a Local Fermi Gas Leitner et al., PRC 79 (2009)
Space-momentum correlations absent in the GFGOK for medium/heavy nucleiMicroscopic many-body effects are tractableCan be extended to exclusive reactions: (e,e’ N), (e,e’ ¼), etc
QE scattering models
pF (r) = [32¼2½(r)]1=3
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Inclusive electron-nucleus scatteringSpectral functions in a Local Fermi Gas Leitner et al., PRC 79 (2009)
Space-momentum correlations absent in the GFGOK for medium/heavy nucleiMicroscopic many-body effects are tractableCan be extended to exclusive reactions: (e,e’ N), (e,e’ ¼), etc
QE scattering models
pF (r) = [32¼2½(r)]1=3
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Inclusive electron-nucleus scatteringSpectral functions in a Local Fermi Gas Leitner et al., PRC 79 (2009)
Mean field potential
Density and momentum dependent
Parameters fixed in p-Nucleus scattering
Nucleons acquire effective masses
QE scattering models
Me® = M + U(~r;~p)
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Inclusive electron-nucleus scatteringSpectral functions in a Local Fermi Gas Leitner et al., PRC 79 (2009)
Hole spectral function:The correlated part of Sh is neglected
Particle spectral function:
Re§ is obtained from Im§ with a dispersion relation fixing the pole position at
I
QE scattering models
Im§ ¼0 Sh(p) ! ±(p2 ¡ M 2e®)
Gil, Nieves, Oset, NPA627Ciofi degli Atti et al.,PRC41
Im§ = ¡p
(p2)¡ coll(p;r) ; ¡ coll = h¾N N vrel i à Collisional broadening
p(pole)0 =
q~p2 + M 2
e®
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Inclusive electron-nucleus scatteringSpectral functions in a Local Fermi Gas:
Results Leitner et al., PRC 79 (2009)
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Good description of the dip region requires the inclusions of 2p2h contributions from MEC Gil, Nieves, Oset, NPA627
Important for º: source of CCQE-like events
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
RPA long range correlations
“In nuclei, the strength of electroweak couplings may change from their free nucleon values due to the presence of strongly interacting nucleons” Singh, Oset, NPA 542 (1992) 587
For the axial coupling gA :
The quenching of gA in Gamow-Teller ¯ decay is well
established
(gA )e®
gA=
11+ g0Â0
Â0 dipole susceptibility
g’ Lorentz-Lorenz factor ~1/3 Ericson, Weise, Pions in Nuclei
(gA )e®
gA» 0:9 Wilkinson, NPA 209 (1973) 470
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
RPA long range correlations Nieves et. al. PRC 70 (2004) 055503
In particular
¼ spectral function changes in the nuclear medium ) so does
VN N = ~¿1~¿2¾i1¾
j2[q̂i q̂j VL (q) + (±i j ¡ q̂i q̂j )VT (q)]+ g~¾1~¾2 + f 0~¿1~¿2 + f I 1I 2
VL =f 2
N N ¼
m2¼
( µ¤2
¼¡ m2¼
¤2¼¡ q2
¶2 ~q2
q2 ¡ m2¼
+ g0
)
J A®
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
RPA long range correlations
RPA approach built up with single-particle states in a Fermi seaSimplified vs. some theoretical models (e.g. continuum RPA) Applies to inclusive processes; not suitable for transitions to discrete states
But
Incorporates explicitly ¼ and ½ exchange and ¢-hole states
Has been successfully applied to ¼, ° and electro-nuclear reactions
Describes correctly ¹ capture on 12C and LSND CCQE Nieves et. al. PRC 70 (2004) 055503
Important at low Q2 for CCQE at MiniBooNE energies
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
RPA long range correlationsComparison to inclusive electron-nucleus data LAR@NuInt09
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
RPA long range correlationsCCQE on 12C averaged over the MiniBooNE flux LAR et al., arXiv:0909.5123
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
RPA long range correlationsCCQE on 12C averaged over the MiniBooNE flux LAR et al., arXiv:0909.5123
RPA correlations cause a reduction of ¾ at low Q2 and forward angles
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Relativistic mean fieldImpulse ApproximationInitial nucleon in a bound state (shell)
ªi : Dirac eq. in a mean field potential (!-¾ model)
Final nucleonPWIARDWIA: ªf : Dirac eq. for scattering state
Glauber Has been used to study 1N knockout Problem: nucleon absorption that reduces the c.s.
Complex optical potential
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Relativistic mean field
RPWIARPWIA
RDWIARDWIA
RPWIARPWIA
RDWIARDWIA
Giusti et al., arXiv:0910.1045
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Relativistic mean fieldImpulse ApproximationInitial nucleon in a bound state (shell); no correlations
ªi : Dirac eq. in a mean field potential (!-¾ model)
Final nucleonPWIADWIA: ªf : Dirac eq. for scattering states
Glauber Has been used to study 1N knockout Problem: nucleon absorption that reduces the c.s.
Complex optical potential
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Green function approach Meucci et al., PRC 67 (2003) 054601
QE
The imaginary part of the optical potential is responsible for
the redistribution of the flux among the different channels
Suitable for inclusive and exclusive scattering
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
Green function approach Meucci et al., PRC 67 (2003) 054601
16O(e,e’)X
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
(Super)scaling Barbaro et al., arXiv:0909.2602
First kind scaling:
F (! ; j~qj) =d¾
d d!
Z¾ep + N ¾en
F = F (Ã0(! ; j~qj))
)
12C
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
(Super)scaling
First kind scaling:
Second kind scaling: independent of A
First + Second scaling = Superscaling
F (! ; j~qj) =d¾
d d!
Z¾ep + N ¾en
F = F (Ã0(! ; j~qj))f (Ã0) = pF F (Ã0)
Ã’ < 0 scaling regionÃ’ > 0 scaling violation
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
(Super)scalingScaling violations reside mainly in the transverse channel
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
(Super)scalingThe experimental superscaling function (fit using RL data)
Constraint for nuclear modelsRelativistic Fermi Gas
Exact superscalingWrong shape of f(Ã’)
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
(Super)scalingThe experimental superscaling function (fit using RL data)
Constrain for nuclear modelsRelativistic mean field describes the asymmetric shape of f(Ã’)
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
(Super)scalingSuperscaling in the ¢ regionExperimental superscaling function
At Ã’¢ > 0 other resonances, etc contribute
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
(Super)scalingSuperscaling Analysis SUSA
Calculate with Relativistic Fermi GasReplace fRFG ! fexp
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
(Super)scalingSuperscaling Analysis SUSA
Calculate with Relativistic Fermi GasReplace fRFG ! fexp
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
QE scattering models
(Super)scalingSuperscaling Analysis SUSA for º-A Amaro et al., PRL 98 (2007) 242501
Calculate with Relativistic Fermi GasReplace fRFG ! fexp
SUSA: ~ 15 % reduction of ¾ with respect to RFGScaling approach fails at !.40 MeV, |q|.400 MeV: collective effects
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Experimental status
Data!
CCQE, NCQE, º, anti-º
MiniBooNE (12C), SciBooNE (16O), MINOS (Fe), NOMAD (12C)
and puzzles…
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Experimental status
MiniBooNE Largest sample of low energy (< Eº > ~ 750 MeV) º¹ CCQE events to date. Aguilar-Arevalo et. al., PRL 100 (2008) 032301 The shape of hd¾/dcosµ¹dE¹i is accurately described by the Relativistic Global Fermi Gas Model with: EB = 34 MeV, pF = 220 MeV
But
ϰ=1.007 § 0.007
MA=1.35 § 0.17 GeV
Large ¾ compared to GFG
with MA=1 GeV
E minp = ·
µqM 2 + p2
F ¡ ! + EB
¶
Katori, arXiv:0909.1996
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Experimental status
However:
The physical meaning of ϰ is obscure
ϰ, MA values depend on the background from CC1¼
Background subtraction depends on the ¼ propagation
(absorption and charge exchange) model
NUANCE: constant suppression of ¼ production
Model dependent Eº reconstruction (unfolding)
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Experimental status
However:
The physical meaning of ϰ is obscure
ϰ, MA values depend on the background from CC1¼
Background subtraction depends on the ¼ propagation
(absorption and charge exchange) model
NUANCE: constant suppression of ¼ production
Model dependent Eº reconstruction (unfolding)
Better compare to:
Katori, arXiv:0909.1996
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Experimental status
NOMAD Lyubushkin et al., EPJ C 63 (2009) 355
CCQE on 12C at high 3-100 GeV energies (DIS is dominant)No precise knowledge of the integrated º flux ) Normalization of CCQE ¾ from processes with better know ¾ (DIS, IMD) CCQE ¾ measured from combined 2-track (¹,p) and 1-track (¹) samplesFrom measured CCQE ¾ : MA = 1.05 § 0.02(stat) § 0.06(sys) GeV
Consistent with MA extracted from Q2 shape fit of 2-track sampleMiniBooNE vs NOMADKatori, arXiv:0909.1996
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Interpretation
MA > 1 GeV?
MA from ¼ electroproduction on p: Bernard et al., J Phys. G
Using Current Algebra and PCAC
Valid only at threshold and in the chiral limit (m¼ =0)
Using models to connect with data )MA
ep= 1.069 § 0.016 GeV Liesenfeld et al., PLB 468 (1999) 20
A more careful evaluation in ChPT Bernard et al., PRL 69 (1992) 1877
MA = MAep - ¢MA , ¢MA =0.055 GeV ) MA = 1.014 GeV
E (¡ )0+ (q2) =
r
1¡k2
4M 2
e8¼f ¼
½FA (q2) +
gA q2
4M 2 ¡ 2q2GVM (q2)
¾
hr2A ie = hr2
A i º +3
64f ¼
µ1¡
12¼2
¶;hr2
A i =12
MA2
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Interpretation
Can nuclear effects explain the shape of the MiniBooNE Q2 distribution?Spectral functions:
Benhar & Meloni, arXiv:0903.2329
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Interpretation
Can nuclear effects explain the shape of the MiniBooNE Q2 distribution?Spectral functions:
LAR, Leitner, Buss, Mosel, arXiv:0909.5123
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Interpretation
Can nuclear effects explain the shape of the MiniBooNE Q2 distribution?RPA:
RPA brings the shape closer to experiment keeping MA = 1 GeV
LAR, Leitner, Buss, Mosel, arXiv:0909.5123
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Can CCQE nuclear models explain the size of MiniBooNE ¾?
Ex. at Eº =0.8 GeV: ¾th ~ 5 < ¾MB ~ 7 £ 10-38 cm2
CCQE models with MA~1 GeV cannot reproduce MiniBooNE ¾
Interpretation
Sobczyk@NuInt09
Katori, arXiv:0909.1996
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Interpretation
Can CCQE nuclear models explain the size of MiniBooNE ¾?Many body RPA calculation Martini et al., arXiv:0910.2622
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Interpretation
Can CCQE nuclear models explain the size of MiniBooNE ¾?Many body RPA calculation Martini et al., arXiv:0910.2622
Lesson: Many-body dynamics beyond 1p1h is important
Open questions:
Is the Q2 distribution also well described by CCQE+2p2h?
Role of MEC
Is the comparison proper ?
Comparison to inclusive data is needed
NOMAD results?
L. Alvarez-Ruso Instytut Fizyki Teoretycznej, Uniwersytetu Wroclawskiego, Nov. 09
Conclusions
º-A scattering in the CCQE region is relevant for oscillation, hadron and nuclear physics
New data (K2K, MiniBooNE, SciBooNE, MINOS, NOMAD)
MINERvA in the future
A good understanding of (semi)inclusive ºA (together with eA) cross section in the QE and resonance regions is required for the (model dependent) separation of mechanisms: only then more
precise determinations of Eº background will be possible
The physical meaning of ϰ, MA needs to be clarified
The role nuclear effects should be established
Theoretical progress has to be incorporated in the MC