Toward Construction of the Unified Lepton-Nucleus Interaction Model from tens of MeV to GeV region

Makoto Sakuda (Okayama) Feb. 10, 2012@J-PARC Hadron and Computational Physics Workshop

In Collaboration with Koichi Saito(SUT), Hiroyuki Kamano(RCNP), Masanori Hirai (SUT), Yoshinari Hayato(ICRR), Shunzo Kumano* (KEK) and Toru Sato*(Osaka) Content1.Motivation For a Precise Lepton-Nucleus Reaction Model

Neutrino experiments need precision Nuclear interactions (1p-1h,2p-2h) and V&A structure

2.We have good models (QE, , DIS) Why not integrate?3.Summary10 Feb., 2012

First meeting on this title at JPARC centeron 18 December, 2011

Today, I will use most of the slides from this meeting.

「レプトン原子核反応模型の構築に向けて」第一回検討会 　開催日 : １２月１７・１８日 ( 土・日曜日 ) 場所 : ＫＥＫ東海キャンパス・東海１号館２２７号室 世話人：佐藤　透、熊野俊三URL http://j-parc-th.kek.jp/collabo/2011/12-17/12-17.html

出席者：鎌野寛之（ＲＣＮＰ） , 熊野俊三（ＫＥＫ） , 齋藤晃一（東京理科大） , 作田　誠（岡大） , 佐藤　透（ＫＥＫ、阪大） , 奈良　寧（国際教養大学） , 平井正紀（東京理科大） , 早戸良成（東大宇宙線研）

10 Feb, 2012 Makoto Sakuda ＠ JPARC

Workshop on Neutrino-Nucleus Interactions in the Few-GeV Region (NuInt)

(1) NuInt01 (KEK,Dec., 2001)

Nucl.Phys.B(Proc.Suppl.)112, 2002

(2) NuInt02 (UC Irvine ， Dec., 2002)

(3) NuInt04(GranSasso,March,2004)Nucl.Phys.B(Proc.Suppl.)139,

2005(4) NuInt05 (Okayama,Sep,2005)

Nucl.Phys. (Proc.Suppl.) 159,2006

(5) NuInt07 (Fermilab,May, 2007)

AIP Proc.967(2008)(6) NuInt09 (Barcelona, May,2009)

AIP Proc.1189(2010)(7) NuInt11 (India, March, 2011)

AIP Proc.1405(2011)

(8) NuInt12-13 (Brasil, 2012-13)

1. Motivation For Precise Lepton-Nucleus Interaction Model

Neutrino experiments (LBL, Astrophysics) need better precision

Better accuracy than 10% in the neutrino cross sections (GeV region) is needed to establish sin2213 , while 30% accuracy was enough to discover oscillations (sin2223~1).

Better accuracy in NC cross sections (atmospheric background) is needed in detecting Supernova Relic Neutrinos (SRN) (5-50MeV).

e appearance (T2K) disappearance (T2K)

10 Feb, 2012 Makoto Sakuda ＠ JPARC

Nearly 100% reduction<10% accuracy in BKG x-sections is needed

Status of neutrino-nucleus models (E>200MeV) 　

Experiments have already their own good neutrino interaction models. NEUT (SK,T2K), Nuance, Genie, NEUGEN (MINOS),,,,,. They are clever enough to know the precision that is required for producing the result.

Neutrino community has the most accurate neutrino-nucleus reaction models including e-N, p-N, -N reactions. They care not only the primary neutrino-nucleus interactions, but also the secondary hadron interactions including absorption.

Now, we are seeing much progress in nuclear-physics problems: meson exchange current and 2p-2h.

10 Feb, 2012 Makoto Sakuda ＠ JPARC

At E=200MeV, NC A elastics (coherent) saturates and NC/CC QE begins to dominate.　

NC Elastic(Coherent)+16O→ +16O

NC quasi-elastic +16O→ +p/n+X

NC Elastic (E<200MeV)

E>100MeV

Features of -A cross sections above 100MeV

Reaction types at E>100MeV

NC Elastic (coherent)+Inelastic

CC/NC Quasi-elastic CC/NC 1 production

Resonant 1 production Non-resonant 1 production Coherent 1 production

CC/NC m production CC/NC DIS

QE,p (-nucleon

10 Feb, 2012 Makoto Sakuda ＠ JPARC

I skip the recent progress in improved shell model calculation (E<100MeV)

JPS Journal “Buturi” (January Issue).

SFO model:

10 Feb, 2012 Makoto Sakuda ＠ JPARC

1) DIS (Deep Inelastic Scattering) on nuclear target

From Kumano’s slides

10 Feb, 2012 Makoto Sakuda ＠ JPARC

Nuclear PDF (EMC effects) -Kumano

10 Feb, 2012 Makoto Sakuda ＠ JPARC

2) Resonance production in e-N and the constraint on the -N modelling

The e-N experiments have recently determined the helicity amplitudes for Resonances, P33(1232), P11(1440), D13(1530), and S11(1535) which contribute below W=2GeV.

Your -model must be consistent with e-N data. Lalakulich-Paschos et al.(05,06) Sato-Lee model MAID model

Definition of helicity amplitudes (A3/2, A1/2, S1/2)

Tiator et al., EPJ.A17,357(03);A19,55(04)MAID helicity amplitudes for W<2GeV.

P33(1232) , D13(1520) S11(1535), P11(1440)

24 Oct. 2010 M.Sakuda@NuFact10

Sato-Lee Model of neutrino-nucleon reaction in the nucleon resonance region

Rein Sehgal AP133(80)Alvarez-Ruso et al. PRC57(98)Lin et al. PRC52(95)Paschos et al. PRD65(02)Lalakulich et al. PRD71(05), PRD74(06)Leitner et al. PRC79(09)

Isobar model

Hernandez et al. PRD76 (07),PRD81(10)Lalakulich et al. arXiv 1007.0925

+ non-res. (chiral Lagrangian)

Sato-Lee PRC67(03),PRC72(05)

+ non-res + unitarity

E < 1GeV, (33) dominanceDetail of mechanism should be tested by extensive data of pion electroproduction

production (Sato-Lee Model)

Model describes very well production in e-N, -N and -N reaction. N=nucleon. X-axis= angle.

10 Feb, 2012 Makoto Sakuda ＠ JPARC

)/)(( 0 srbepepdd

d

)/)(( 0 srbppdd

d

Leitner et al. RPC79(09)

SL PRC67(03)

Hernandez et al PRD76(07)

full

Delta_33

Results from NuInt-Quantitative comparison of calculation and data-

Quasi-Elastic is understood to 10% for E=700MeV-2000MeV (and Q2>0.2

(GeV/c)2)

production Sato-Lee, Lalakulich Understood to 20-30%?

DIS (Kumano-san)

3) CC Quasi-elastic interaction -Hayato

Quasi-elastic interaction

We thought that Impulse Approximation with Spectral Function plus FSI describes QE to 10% level. Benhar, MS et al., PRD72,053005, ’05

NC/CC QE events accompany -rays (6MeV) at 40% level for O. Ankowski,Benhar,MS et al, PRL 108,052505,’12.

-rays (E>5MeV) in NC QE reaction

XNO

XNO Br~40%

Br~40%

).(

*

InelasticNCetalKolbeby

XOO

MiniBooNE QE Anomaly (PRD81,092005,’09)

Is theory (IA calculation) underestimates quasi-elastic cross section data C(,), while it agrees with C(e,e’) data??

MA:MA=1.0-1.2GeV 1.6GeV?? 2p-2h/MEC large??

Benhar-Meloni, PRL105,132301,2010C(,)

C(e,e’)

2p-2h/MEC or Contribution from the high energy tail

Martini, Nieves, Donnelly …estimates 2p-2h/MEC contribution (~20%) and proposes a solution to MiniBooNE QE anomaly.

Nieves et al., PRC83,045501,2011;Meucci et al., PRL107,172501,2011;Amaro et al.,PRD84,033004,2011

Benhar (hep-th/1110.1835) points out a big difference between A(e,e’) and A(,), where E spead is large.

MiniBooNE anomaly quasi-elastic

10 Feb, 2012 Makoto Sakuda ＠ JPARC

2. We have good models (QE, , DIS) Why not integarate?

Sato-Lee model (QE+1,2), CC/NC. 16N* resonances, Coherent . non-resonant background.

Add to it: Spectral function S(p,E) FSI DIS (Nuclear PDF a la Kumano)

We hope that 2p-2h contribution will be checked and resolved.

10 Feb, 2012 Makoto Sakuda ＠ JPARC

Summary

We have good models (QE, , DIS) separately.

We are discussing how to make a first merged lepton-nuleus model (a toy model) (being organized by Kumano/Sato).

Next meeting on March 18-20. Poster at 2012

10 Feb, 2012 Makoto Sakuda ＠ JPARC