Neutrino-nucleus reaction at low energy and resonance region (dynamical model)
T. Sato (Osaka U.)
Collaborators: B. Szczerbinska, K. Kubodera, T.-S. H. Lee
H. Kamano, Y. Ikeda
Neutrino reaction on the resonance region
Attempts to construct nuclear current for low energy nuclear elctroweak
reaction from EFT
Feb 2007 RCNP
Electroweak meson production reaction-- resonance region --
Resonance region 1 < W < 2 GeV
1GeV lepton reaction mainly Delta(1232), single pion production
Electroweak meson production in delta(1232) region
SL (PRC ‘96,’01,’03,’04)
Proton structure function
SL model has been tested (e,e’ pi) cross section, polarization, photoproduction
Comment 1: SL model and MAID (e,e’) reaction
MAID Unitary Isobar Model
Virtual photon-pion production cross section for proton and neutron
Neutrino reaction (SL model)
dynamical model of weak pion production reaction
Neutrino-Nucleus reaction
Inclusive neutrino-nucleus reaction for GeV neutrino
Hadron tensor
Nuclear correlation: structure function P(p,E) from Benhar
Nuclear effects on Delta propagator delta hole model
Comment 2: Prescription for off-shell nucleon
Our calculation
Effective energy transfer
Neutrino (CC) electron
E ~ 1GeV, Q^2 ~ 0.4GeV/c^2
Lepton + 12C -> X
Comment 3: Resonance region 1.4 < W < 2GeV
Feature:
Multi-channel and multi-resonance problem
Simultaneous study of
strong and electromagnetic probe
and
inelastic final states
Exited Baryon Analysis Center at Jlab (EBAC)
First results from EBAC
B. Julia-Diaz,A. Matsuyama, T.-S. H. Lee, T.S.
Low energy neutrino reaction and EFT
Low energy electroweak reaction for a few nucleon system
Solar neutrino, supernova E < 50MeV
E ~ keV - MeV
Predict neutrino reaction cross section for a few nucleon system
high precision N-N interaction + Nuclear Current
Standard nuclear physics approach and effective field theory
Nuclear Current = One-body(IA) + Many-body(EXC)
Many-body current has to be tested
SNPA and EFT* agree well within a few per cent
precise nuclear current for low energy reaction is available
Comment 4:
Mechanism for Vector current (M1) .neq. Axial vector current (GT)
Magnetic dipole transition: vector
Gamow-Teller transition: axial vector
~10%
~2-3%
EXC for cross section
summary
Resonance region
Dynamical model of electroweak pion production reaction for delta region
Is developped and applied for inclusive nuclear reaction
Model for higher energy resonance region W<2GeV is in progress
Low energy region
SNPA and EFT approaches provide precise description for low energy
Electroweak reaction of a few nucleon system
