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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
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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
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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
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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
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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
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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
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( ) Nucleon propagator k : pha decomposition --- M.Nakano et al.,
: pha decomposition --- M.Nakano et al., PRC56, 3287 (1997) xxx xxx xxx : FD decompositon --- standard ( ) ,
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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
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Pairing interaction at 1-loop level
ill-defined at instability !
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(Cross section of dielectric function)
free from instability infra-red cutoff is necessary 0.65 is chosen
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(instability) (corrected using a form factor at tree (OBE) level)
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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
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σ,longitudinal-ω:attraction, σ-ωmix: repulsion
FD attraction repulsion pha σ,longitudinal-ω:attraction, σ-ωmix: repulsion
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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
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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
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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
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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
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M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006
(Preliminary cal.) pha FD OBE M.M. and P.Ring, nucl-th/ M. Matsuzaki, RIKEN "Mean-field theories and beyond", Mar. 21, 2006
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