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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
Neutrino induced pion production
Dynamical model of pion production in Delta_33 region
Pion electroproduction Structure functions (data CLAS from C. Smith,2004)
Jones et al. (89) CERN
Kitagaki et al. (90) BNLBarish et al.(79) ANL
Sealock et al.(89)
QE
Pion production
Our amplitudes are available in
Adler-CGLN amplitude
structure functions R(Q^2,W)
? home page for amplitudes and …. ??
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
Our model of coherent pion production
Non-res res
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
prediction of coherent pion photoproduction
Without medium effect on delta-hole propagator/ FSI of pion
Full
Only Delta for pion production operator
CCpi+
NCpi0
Alvarez-Ruso et al.(07)
Hernandez et. al(10)
Nakamura et al.(10)
Berger Sehgal(09)
CCpi+(K2K) 10.8/5.7 6.1+/-1.3 6.3 0.62x12
NCpi0(MiniBooNE) 5.0/2.6 2.6+/-0.5 2.8
( Kurimoto et al. PRD81(10) )
Flux averaged cross section
agreement among recent theoretical results pi+/pi0 ration ~ 2 due to Delta_33 dominance
* pion momentum distribution, angular distribution• neutrino energy dependence• …are available
data :PRC81 055213
F2 Model available for vector current , W<2GeV
Coupled-channel model of Excited BaryonAnalysis 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
Figure: E. Pasyuk’s talk at Hall-B/EBAC meeting
Single pion electroproduction (Q2 > 0)
Fit to the structure function data (~ 20000) from CLAS
Julia-Diaz, Kamano, Lee, Matsuyama, Sato, Suzuki, PRC80 025207 (2009)
p (e,e’ p0) p
W < 1.6 GeV
Q2 < 1.5 (GeV/c)2
is determined
at each Q2.
N*N
g(q2 = -Q2)q
N-N* e.m. transitionform factor
• 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
Reconstruct from Quasi-elastic scattering
true only for reaction on free nucleon
Can we separate QE?
FSI
+ + …
2
ISI
‘QE’
Quantum mechanical interference among various amplitudes
Simple exercise (Inverse problem)
Extract from
Method : MEM
Assume reliable calculation available
example
energy transfer
spatial momentum transfer
excited states(‘bound’)Giant resonance
Delta_33, pion production
quasi-elastic (QE)
nuclear excitation, Quasi-Elastic, Resonance, Deep Inelastic