M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

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Presentation transcript:

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 Relativistic study of medium polarization effects on superfluidity in neutron matter nuclear Masayuki Matsuzaki (Fukuoka University of Education) M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 Medium polarization effect on superfluidity Neutron matter reduce pairing gap significantly reduction is weak M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 Symmetric matter … preliminary enhance pairing gap Finite nuclei enhance pairing gap M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 Relativistic approach (σ-ω model) M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 Thermodynamics at T=0 Liquid-gas instability ! M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 Quantum mechanics calculate meson propagator (q =0) M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

( ) Nucleon propagator k : pha decomposition --- M.Nakano et al., : pha decomposition --- M.Nakano et al., PRC56, 3287 (1997) xxx xxx xxx : FD decompositon --- standard ( ) ,

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 (Longitudinal) dielectric function pha FD instability ! instability ! M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

Pairing interaction at 1-loop level ill-defined at instability !

(Cross section of dielectric function) free from instability infra-red cutoff is necessary 0.65 is chosen

(instability) (corrected using a form factor at tree (OBE) level)

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 Form factor at every vertex to modulate high mom. interaction so as to reproduce the result of Bonn-B potential present M.M. and T.Tanigawa, NPA683, 406 (2001) M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

σ,longitudinal-ω:attraction, σ-ωmix: repulsion FD attraction repulsion pha σ,longitudinal-ω:attraction, σ-ωmix: repulsion

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 Neutron matter instability M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 Summary Liquid-gas instability occurs at medium density Medium polarization enhances gap at low and medium density At high density, FD enhances gap whereas pha reduces gap Characteristic cancellation among σ,ω, and σ-ωmix Result for neutron matter is similar M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 Acknowledgement Prof. P. Ring （Munich) for suggesting the problem Prof. H.Kouno （Saga) for useful discussions M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 FD attraction pha M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006

M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006 (Preliminary cal.) pha FD OBE M.M. and P.Ring, nucl-th/9712060 M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006