Toward construction of the unified lepton

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)
Content
1. Motivation For a Precise Lepton-Nucleus Reaction Model
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Neutrino experiments need precision
Nuclear interactions (1p-1h,2p-2h) and V&A structure
2. We have good models (QE, p, DIS) Why not integrate?
3. Summary
10 Feb., 2012
First meeting on this title at JPARC center
on 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)
(5) NuInt07 (Fermilab,May, 2007)
AIP Proc.967(2008)
(6) NuInt09 (Barcelona, May,2009)
AIP Proc.1189(2010)
(3) NuInt04
(7) NuInt11 (India, March, 2011)
(GranSasso,March,2004)
Nucl.Phys.B(Proc.Suppl.)139, 2005
(8) NuInt12-13 (Brasil, 2012-13)
(4) NuInt05 (Okayama,Sep,2005)
Nucl.Phys. (Proc.Suppl.) 159,2006
AIP Proc.1405(2011)
1. Motivation For Precise Lepton-Nucleus
Interaction Model
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Neutrino experiments (LBL, Astrophysics) need better precision
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Better accuracy than 10% in the neutrino cross sections (GeV region) is
needed to establish sin22q13 , while 30% accuracy was enough to
discover nmnt oscillations (sin22q23~1).
Better accuracy in NC cross sections (atmospheric n background) is
needed in detecting Supernova Relic Neutrinos (SRN) (5-50MeV).
nmne appearance (T2K)
nm disappearance (T2K)
<10% accuracy in BKG
nm x-sections is needed
10 Feb, 2012
Makoto Sakuda＠JPARC
Nearly 100% reduction
Status of neutrino-nucleus models
(E>200MeV)
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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 neutrinonucleus reaction models including e-N, p-N, p-N
reactions. They care not only the primary neutrinonucleus 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 nA elastics (coherent) saturates
and NC/CC QE begins to dominate.
NC quasi-elastic
NC Elastic(Coherent) n+16O→n+p/n+X
n+16O→n+16O
E>100MeV
NC Elastic (E<200MeV)
Features of n-A cross sections
above 100MeV
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Reaction types at E>100MeV
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NC Elastic (coherent)+Inelastic
CC/NC Quasi-elastic
CC/NC 1p production
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Resonant 1p production
Non-resonant 1p production
Coherent 1p production
CC/NC mp 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).
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SFO model:
10 Feb, 2012
Makoto Sakuda＠JPARC
1) DIS (Deep Inelastic Scattering) on nuclear
target
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From Kumano’s slides
10 Feb, 2012
Makoto Sakuda＠JPARC
Nuclear PDF (EMC effects)
10 Feb, 2012
Makoto Sakuda＠JPARC
-Kumano
2) Resonance production in e-N and
the constraint on the n-N modelling
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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 n-model must be consistent with e-N data.
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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)
24 Oct. 2010
S11(1535), P11(1440)
M.Sakuda@NuFact10
Sato-Lee Model of neutrino-nucleon reaction in the
nucleon resonance region
Isobar model
Rein Sehgal
Alvarez-Ruso et al.
Lin et al.
Paschos et al.
Lalakulich et al.
Leitner et al.
AP133(80)
PRC57(98)
PRC52(95)
PRD65(02)
PRD71(05), PRD74(06)
PRC79(09)
+ non-res. (chiral Lagrangian)
Hernandez et al. PRD76 (07),PRD81(10)
Lalakulich et al. arXiv 1007.0925
+ non-res + unitarity
Sato-Lee
PRC67(03),PRC72(05)
E < 1GeV, D(33) dominance
Detail of mechanism should be tested by extensive data of
pion electroproduction
p production (Sato-Lee Model)
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Model describes very well p
production in e-N, g-N and n-N
reaction. N=nucleon. X-axis=
p angle.
d
(ep  epp 0 )( mb / sr )
dd
d
(g p  pp 0 )( mb / sr )
dd
10 Feb, 2012
Makoto Sakuda＠JPARC
SL PRC67(03)
Leitner et al. RPC79(09)
Hernandez et al PRD76(07)
fu
Delta
ll
_33
Results from NuInt
-Quantitative comparison of calculation and data
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Quasi-Elastic is understood to 10%
for E=700MeV-2000MeV (and Q2>0.2 (GeV/c)2)
1p (D) production Sato-Lee, Lalakulich
 Understood to 20-30%?
DIS (Kumano-san)
3) CC Quasi-elastic interaction
-Hayato
Quasi-elastic interaction
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We thought that Impulse Approximation with Spectral Function
plus FSI describes QE to 10% level.
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Benhar, MS et al., PRD72,053005, ’05
NC/CC QE events accompany g-rays (6MeV) at 40% level for O.
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Ankowski,Benhar,MS et al, PRL 108,052505,’12.
g-rays (Eg>5MeV) in NC QE reaction
n  O n  N  X
n  O n  N  X
Br~40%
Br~40%
n  O  n  O*  n  g  X
by Kolbe etal.( NC Inelastic )
MiniBooNE QE Anomaly
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(PRD81,092005,’09)
Is theory (IA calculation) underestimates quasi-elastic cross
section data C(n,m), while it agrees with C(e,e’) data??
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MA:MA=1.0-1.2GeV 1.6GeV??
2p-2h/MEC large??
Benhar-Meloni, PRL105,132301,2010
C(e,e’)
C(n,m)
2p-2h/MEC or Contribution from the high
energy tail
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Martini, Nieves, Donnelly …estimates 2p-2h/MEC contribution
(~20%) and proposes a solution to MiniBooNE QE anomaly.
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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(n,m), where En spead is large.
MiniBooNE anomaly quasi-elastic
10 Feb, 2012
Makoto Sakuda＠JPARC
2. We have good models (QE, p, DIS)
Why not integarate?
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Sato-Lee model (QE+1p,2p), CC/NC.
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Add to it:
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16N* resonances, Coherent p. non-resonant background.
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
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We have good models (QE, p, DIS) separately.
We are discussing how to make a first merged leptonnuleus model (a toy model) (being organized by
Kumano/Sato).
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Next meeting on March 18-20.
Poster at n2012
10 Feb, 2012
Makoto Sakuda＠JPARC

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