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G 行列理論に基づくバリオン - 核間相互作用の導出

2008/12/25 RCNP. G 行列理論に基づくバリオン - 核間相互作用の導出. 都留文科大学 　　　山本　. 共同研究者　古本　櫻木　（大阪市大）. G-matrix interaction を使うことの意味 核力に基づく理解 　　　　　核模型における有効相互作用. 核内での核力の特徴が G-matrix を通して現れる. たとえば、 nuclear saturation property density-dependent effective interaction central/LS/tensor components.

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G 行列理論に基づくバリオン - 核間相互作用の導出

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  1. 2008/12/25 RCNP G行列理論に基づくバリオン-核間相互作用の導出 都留文科大学 　　　山本　 共同研究者　古本　櫻木　（大阪市大）

  2. G-matrix interactionを使うことの意味 核力に基づく理解 　　　　　核模型における有効相互作用 核内での核力の特徴がG-matrixを通して現れる たとえば、 nuclear saturation property density-dependent effective interaction central/LS/tensor components

  3. T = V+VPT = V+VPV+VPVPV+　・・・ Ladder sum Pに多体効果を入れるとTがGになる 媒質中での2体散乱

  4. Continuous choice Gap choice + 3-body cluster terms

  5. Nuclear saturation given by various NN potentials (G-matrix calculations) Gap choice E/Aで4～5 MeVの差 これは大きい Continuous choice Repulsive three-body effect in high-density region is necessary for nuclear saturation

  6. Baldo et al. arXiv:astro-ph/0312446 4ρ0 LOBT(C.C.) は高密度まで信頼できる !!!

  7. G行列理論に基づくnuclear saturation LOBT with continuous choice is reliable up to high density Role of Three-Body Interaction (TBA+TBR) is essential for saturation problem

  8. For nuclear saturation, role of TBF is indispensable ! Typically Fujita-Miyazawa diagram ●Attraction at low densities ●Repulsion at high densities Phenomenological TBR by Illinois group for instance

  9. TBA Derivation of effective two-body potential from TBF by Kasahara, Akaishi and Tanaka Fujita-Miyazawa diagram

  10. TBRは実在する！ Saturation curve (incompressibility)に不可欠 中性子星の最大質量 ・・・ その起源は? Pure phenomenological Meson exchange diagrams Relativistic (Z-diagram) 　・・・

  11. Phenomenological modeling of Three-Body Repulsion in ESC04 Necessary for maximum mass of neutron star Universal among NNN, NNY, NYY… Three-body force due to triple-meson correlation Reduction of meson mass in medium MV(ρ)=MV exp(-αρ) for vector mesons Medium-Induced Repulsion

  12. TBA Baldo TBR Similar curve is obtained

  13. Maximum-mass problem of neutron stars Importance of universal TBR

  14. G は ωと kF(Qを通じて） に依存する モデル化して有限系に適用 （nuclear-matter G-matrix + LDA) 例えば Density-Dependent interaction （ω-depをkF-depに吸収する） 散乱問題への応用では G(r; kF, Ein)

  15. OMP derived from G-matrix interaction incident energy ω ω-rearrangement Imaginary part

  16. CEG83 Old calculation by Kasahara-Akaishi-Tanaka

  17. From CEG83 to CEG07 Modern NN interaction model ESC Continuous choice for intermediate spectra Including TBA (Fujita-Miyazawa) + TBR Up to higher partial waves on the basis of saturation mechanism

  18. 16O + 16O elastic scattering E/A = 70 MeV Effect of three-body force T.Furumoto, Y. Sakuragi and Y. Yamamoto, (Submitted to Phys.Rev.C rapid communication)

  19. 同じ処方箋で hyperon-nucleus potentialを攻めてみよう

  20. Nijmegen soft-core models (NSC89/97, ESC04/07) Origin of cores pomeron ω meson Repulsive cores are similar to each other in all channels Different from Quark-model core Tamagaki’s Quark Pauli-forbidden states ? ハイパー核で領域Ⅲを見れるか？ 原子核現象を通じて核力の領域IIIの異なる modelingを区別することはできなかった

  21. ESC04 modeling PS, S, V, AV nonets not taken (ππ),(πρ),(πω),(πη),(σσ) +(πK),(πK*)・・・ strangeness exchange ESC07 PS-PS exchange small spin-orbit interaction Quark-model-like core

  22. ∑-Nucleus potentials U∑ Intermediate states in (π,K) reactions ∑-nucleus scattering ・・・・・ Interesting problems repulsive ? isospin-dependence spin-orbit interaction imaginary parts (scattering & conversion)

  23. Are repulsive ∑-potentials obtained from Nijmegen models? NHC-F ok but… No(maybe)standard NSC/ESC modeling in spite of elaborate works by Rijken Import the feature of quark model !

  24. various Nijmegen Models 21S023S141S043S1 sum Fss 6.1 -20.2 -8.8 48.2 +9.8 fss2 6.7 -23.9 -9.2 41.2 +7.5 QM-based models

  25. Feature of QM core K. Shimizu, S. Takeuchi and A.J. Buchmann, PTP, Suppl. 137(2000) Almost Pauli-forbidden states

  26. Adjust V[51 Pauli-forbidden state exist in V[51]

  27. Recent Nijmegen approach ESC core = pomeron + ω Assuming “equal parts” of ESC and QM are similar to each other Almost Pauli-forbidden states in [51] are taken into account by changing the pomeron strengths for the corresponding channels gPｓｑｒｔ（2.5） gP ESC07 models

  28. Optical potential ∑-nucleus folding potential derived from complex G-matrix G∑N(r; E, kF) In N-nucleus scattering problem physical observables can be reproduced with “no free parameter”

  29. relation Effective Mass and E-dependence of U∑ with ESC07 If m∑* > 1 then U’∑ < 0

  30. ESC07 Pauli-forbidden states U∑(real) cancelingが効く W∑には”２乗和”で効く Wscattが大きい理由

  31. Improved LDA by JLM Phys. Rev. C10 (1974) 1391 simple LDA : U(ρ(r),E)

  32. by Maekawa, at al.

  33. NW*Uimag NW=0.65 Same as NA case In general, G-matrix overestimates Uimag as seen in N-nucleus systems

  34. Summary G-matrix method (nuclear matter approach) is very powerful to describe N-nucleus and Nucleus-nucleus scattering observables starting from realistic NN interaction models On the same ground ∑-nucleus potentials are derived from realistic YN interaction models and compared successfully with (π,K) data Challenging physics : Universal TBR Pauli-forbidden states in ∑N

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