neutrino-nucleus reaction at low energy and resonance region (d

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