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INPC2007, Tokyo, 6 June, 2007

INPC2007, Tokyo, 6 June, 2007. Interpretation of recent JLab results on quasi elastic (e,e ’ p) reactions off few-nucleon systems. H. Morita , Sapporo Gakuin Univ., Sapporo, JAPAN C. Ciofi degli Atti , Univ. of Perugia, ITALY L.P. Kaptari , BLTP JINP, Dubna, RUSSIA. 1.Motivations.

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INPC2007, Tokyo, 6 June, 2007

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  1. INPC2007, Tokyo, 6 June, 2007 Interpretation of recent JLab results on quasi elastic (e,e’p) reactions off few-nucleon systems H. Morita, Sapporo Gakuin Univ., Sapporo, JAPAN C. Ciofi degli Atti, Univ. of Perugia, ITALY L.P. Kaptari, BLTP JINP, Dubna, RUSSIA

  2. 1.Motivations To clarify …. • Validity of Standard Model of nuclei. • Nucleon propagation in the medium. • Nucleon properties in the medium. (form factors, NN correlations, etc.) (e,e’p) reaction from few-nucleon system is one of the most effective tool. < Subject of my talk > Theoretical analysis of 3He(e,e’p)2H(pn) and 4He(e,e’p)3H data recently produced at JLAB.

  3. 2.Framework of the Calculation for the A(e,e’p)B Reaction < Cross Section of A(e,e’p)B > ＊We use Factorization Ansatz. We release it at Section 5 e-N cross section nuclear distorted spectral function If “B”(recoil system) is bound state distorted by FSI nucleon distorted momentum distribution

  4. ：Pisa Group’s w.f. with AV18 pot. A. Kievsky et al., Nucl. Phys. A551(1993) 241 P ρ P t=(Pp-Pn)/2 ｒ n Nuclear Distorted Spectral Function in 3He(e,e’p)2H(pn) process C. Ciofi degli Atti, L.P. Kaptari, Phys. Rev. C71, 024005 (2005) SG: Glauber Operator 3He(e,e’p)2H 3He(e,e’p)pn

  5. P q,ω P n Generalized Eikonal Approximation（GEA） L.L.Frankfurt et al., Phys. Rev. C56, 1124(1997) and M.M. Sargsian et al., Phys. Rev.C71 044614(2005) C. Ciofi degli Atti, L.P. Kaptari, Phys. Rev. C71, 024005 (2005) Conventional Glauber Approximation Frozen Approximation Generalized Eikonal Approximation P q,ω Consider the Fermi motion P n

  6. fNN fNN ：IA ：Single Resc. ：Double Resc. Diagramatic representation of the process 3He(e,e’p)2H(pn) L.L.Frankfurt et al., Phys. Rev. C56, 1124(1997) and M.M. Sargsian et al. + + PWIA Single resc. Double resc. Calculating each graphs, we get SGEA(i) No free parameters !

  7. 3.Results of 3He(e,e’p) 2H(pn) Reaction C. Ciofi degli Atti, L.P. Kaptari, Phys. Rev. Lett. 95, 052502 (2005) Data: JLab E89044 Q2～1.55(GeV/c)2, x=1 M.M. Rvachev et al., Phys. Rev. Lett.94(2005) 192302 GEA Calculation reproduces the data almost perfectly. 2bbu channel

  8. Results of 3He(e,e’p) pn3bbu channel C. Ciofi degli Atti, L.P. Kaptari, Phys. Rev. Lett. 95, 052502 (2005) Data: JLab E89044 Q2～1.55(GeV/c)2, x=1 F. Benmokhtav et al., Phys. Rev. Lett.94(2005) 082325 GEA Calculation reproduces the data quite well. <Saclay Kinematics> small At ParallelKinem. FSI NN correlation can be studied.

  9. ATMS w.f. 4. Results of 4He(e,e’p)3H Reaction - JLab E97-111: B. Reitz et al., Eur. Phys. J. A S19(2004) 165 - C. Ciofi degli Atti, L.P. Kaptari and H. Morita, Nucl.Phys.A782(2007) 191 Same Calc. for4He Perpendicular Kinem. Q2=1.78(GeV/c) ω=0.525(GeV) agreement is quite good.

  10. 5. Non factorized cross section: Results of 3He(e,e’p)2H C. Ciofi degli Atti and L.P. Kaptari, nucl-th/0705.3951 Data: JLab E89044 Current Operator: cc1 First Calc. Full Calc.in momentum space (no p/q expansion) Breaking down of the Fact. App. at large negative pm > 300(Mev/c)

  11. Left-Right Asymmetry ATL Data can not be reproduced completely. Detailed study is going on. Calc. for 4He is now in progress C.Ciofi degli Atti, L.P.Kaptari and H.Morita, to appear

  12. 6. Summary-1 Without any free parameters, the data of 3He(e,e’p)2H(pn) and 4He(e,e’p)3H were well reproduced by the GEA calculation. • Validity of standard model of nuclei. • Nucleon propagation in the medium. • Nucleon properties in the medium. OK, for JLAB energies. Can be described by the generalized Glauber type operator. No apparent changes of nucleon properties at JLAB energies. At proper (parallel) kinematics we can study NN correlations.

  13. Summary-2 • We performed a non Factorization calculation (in momentum space) for 3He(e,e’p)2H process and found that the violation of Factorization approximation is appreciable at negative pm> 300(MeV/c). Extension to 4He(e,e’p)3H process is now in progress.

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