1. ニュートリノ原子核反応 佐藤 透 ( 阪大 理 ) JPARC Dec. 18 2011 Our previous works on neutrino reaction single pion production(Delta region) nuclear coherent pion production Plan neutrino induced meson production (W<2GeV) trial : inverse transformation

2. Neutrino induced pion production Dynamical model of pion production in Delta_33 region Pion electroproduction Structure functions (data CLAS from C. Smith,2004)

3. Jones et al. (89) CERN Kitagaki et al. (90) BNLBarish et al.(79) ANL

4. Sealock et al.(89) QE Pion production

5. Our amplitudes are available in Adler-CGLN amplitude structure functions R(Q^2,W) ? home page for amplitudes and …. ??

6. Nuclear effects in resonance region Pion-nucleus interaction  elastic scattering Pion absorption  total, inelastic, absorption cross section Medium effect on pion production, propagation of delta in nuclei  Coherent photo pion production, inelastic pion scattering Neutrino induced coherent pion production (exclusive reaction, bound final nucleus) Delta-hole model

7. Our model of coherent pion production Non-resres use t-matrix from dynamical model of piN and weak pion production for both transition operator and pi-Nucleus optical potential medium modification of pion production mechanism final state interaction: optical potential

8. prediction of coherent pion photoproduction Without medium effect on delta-hole propagator/ FSI of pion Full Only Delta for pion production operator

9. CCpi+ NCpi0 Alvarez-Ruso et al.(07) Hernandez et. al(10) Nakamura et al.(10) Berger Sehgal (09) CCpi+(K2K) 10.8/5.76.1+/-1.36.30.62x12 NCpi0(MiniBooNE) 5.0/2.62.6+/-0.52.8 ( Kurimoto et al. PRD81(10) ) Flux averaged cross section agreement among recent theoretical results pi+/pi0 ration ~ 2 due to Delta_33 dominance

10. * pion momentum distribution, angular distribution neutrino energy dependence … are available

11. data :PRC81 055213 F2Model available for vector current, W<2GeV Coupled-channel model of Excited Baryon Analysis Cener(EBAC)  with extension for axial current fill gap between QE and DIS Data: hep-ph/0309052 Increasing importance of 2pion production above delta beyond Delta_33 (N*,Delta region) and DIS

12. Figure: E. Pasyuk’s talk at Hall-B/EBAC meeting

13. Single pion electroproduction (Q 2 > 0) Fit to the structure function data (~ 20000) from CLAS Julia-Diaz, Kamano, Lee, Matsuyama, Sato, Suzuki, PRC80 025207 (2009) p (e,e’  0 ) p W < 1.6 GeV Q 2 < 1.5 (GeV/c) 2 is determined at each Q 2. N*N  (q 2 = -Q 2 ) q N-N* e.m. transition form factor

14. Current neutrino reaction model : Delta_33 region (Sato,Uno,Lee) electroproduction model W< 2GeV (EBAC) Extend to N* region ANN* coupling from piNN* using PCAC Interest for transition (N* DIS) region

15. Reconstruct from Quasi-elastic scattering true only for reaction on free nucleon Can we separate QE?

16. FSI + + … 2 ISI ‘QE’ Quantum mechanical interference among various amplitudes

17. Simple exercise (Inverse problem) Extractfrom Method : MEM Assume reliable calculation available example

18. energy transfer spatial momentum transfer excited states(‘bound’) Giant resonance Delta_33, pion production quasi-elastic (QE) nuclear excitation, Quasi-Elastic, Resonance, Deep Inelastic