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核物質における超流動への媒質偏極効果

核物質における超流動への媒質偏極効果. 松崎 昌之. PTP 116, 127 (2006). 無限核物質での pairing gap. M.Baldo et al, NPA515, 409 (1990). 弱結合近似（ Fermi 面近傍のみが pairing に寄与）による k F 依存性の見積もり. 2 核子の相対運動量 = Fermi 運動量 として自由空間と媒質中の対応をつける. T.Takatsuka and R. Tamagaki, PTP Suppl. 112, 27 (1993). RMF 相互作用による計算. --- 3 倍 !.

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核物質における超流動への媒質偏極効果

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  1. 核物質における超流動への媒質偏極効果 松崎 昌之 PTP 116, 127 (2006)

  2. 無限核物質での pairing gap M.Baldo et al, NPA515, 409 (1990)

  3. 弱結合近似（Fermi 面近傍のみが pairing に寄与）による kF依存性の見積もり 2核子の相対運動量 = Fermi 運動量 として自由空間と媒質中の対応をつける T.Takatsuka and R. Tamagaki, PTP Suppl. 112, 27 (1993)

  4. RMF 相互作用による計算 --- 3 倍 ! Which is reliable ? ----------- bare int. と同程度 H.Kucharek and P.Ring, Z.Phys. A339, 23 (1991)

  5. 松崎、谷川、福岡教育大学紀要 54, no.3, 17 (2005)

  6. ギャップ方程式は短距離相関を 内包している

  7. (松崎、数理科学 39, no.3 (通巻453号), 39 (2001)) F.T. gap が有限で相互作用が斥力芯を持てば波動関数は外へ押し出される

  8. 相対論固有の効果？

  9. Dirac sea effects は 本質的ではない M.M., PRC58, 3407 (1998)

  10. RMF

  11. 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)

  12. 差はほぼ座標空間のデルタ関数 （ RMF は有効相互作用）

  13. ここまでで非相対論と同じ土俵に  媒質偏極効果の考察へ

  14. Medium polarization effect on superfluidity Neutron matter reduce pairing gap significantly reduction is weak

  15. Symmetric matter … preliminary enhance pairing gap Finite nuclei enhance pairing gap

  16. Long wavelength density fluctuation Liquid-gas instability

  17. Relativistic approach (σ-ω model)

  18. Thermodynamics at T=0 Liquid-gas instability !

  19. Quantum mechanics 0 calculate meson propagator (q =0)

  20. Nucleon propagator 0 k : pha decomposition --- M.Nakano et al., PRC56, 3287 (1997) xxx xxx xxx : FD decompositon --- standard ( ) ,

  21. (Longitudinal) dielectric function pha FD instability ! instability !

  22. Assume that the system stays in a pure phase.

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

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

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

  26. FD attraction pha

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

  28. 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 • Higher order diagrams • Superfluidity in mixed phase

  29. 斥力による pairing (NL2) 斥力のみ

  30. 高運動量で斥力かつΔ(k)<0  Fermi 面で Δ(kF)>0

  31. Vector meson mass decrease  pairing reduction M.M. and T.Tanigawa, PLB445, 254 (1999)

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