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S=-2 hypernuclei predicted by ESC04 model

2006/8/2 KEK 研究会. S=-2 hypernuclei predicted by ESC04 model. 『 核力と核構造 』 の意識的適用. Y. Yamamoto. ESC with Rijken Ξnuclei with Lanskoy. Our Approach to Hypernuclear Physics. Nijmegen models. Free-space YN · YY interaction. G-matrix. Effective YN · YY interaction in nuclei.

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S=-2 hypernuclei predicted by ESC04 model

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  1. 2006/8/2 KEK研究会 S=-2 hypernucleipredicted by ESC04 model 『核力と核構造』の意識的適用 Y. Yamamoto ESC with Rijken Ξnuclei with Lanskoy

  2. Our Approach to Hypernuclear Physics Nijmegen models Free-space YN·YY interaction G-matrix Effective YN·YY interaction in nuclei Structure Models Hypernuclear Phenomena Complementary studies of YN·YY interactions and hypernuclei

  3. ひとこと G-matrix theoryは核力と核構造をリンク させる確立された処方（適用限界も含め） ハイパー核研究では「核力から核構造」の 実体論的方針が貫徹された 以下の話はその実践例である Ｓ＝0核の研究では・・・？？？

  4. Development of Nijmegen models Model D (ND) 1977 Model F (NF) 1979 ΛN G-matrix calculations in nuclear matter Bando & Nagata 1982 Predictive power ! prediction of ΣHe4 by Harada-Akaishi(1987) NSC89 NSC97 ESC99 ESC00 ESC02 ESC03 ESC04 Rijken Yamamoto 夢ふたたび？

  5. Extended Soft-Core Model ESC0４ Phys. Rev. C73, 044008 (2006) ●Two-meson exchange processes are treated explicitly no effective bosons are used ●Meson-Baryon coupling constants are consistent with Quark-model predictions ● No ad hoc parameter only for fitting experimental data Parameter fitting G-matrix Hypernuclear data not only YN scattering data

  6. Different predictions for Ξhypernuclear states

  7. PS, S, V, AV nonets not taken (ππ),(πρ),(πω),(πη),(σσ) lead to TBF PS-PS exchange 3体力が自動的に決まる

  8. by 玉垣さん 2000/7 Before NAGARA 2π-exchange via Δ-excitation Fujita-Miyazawa TBF σ-meson の実体 ΛΛ引力は弱い 核力における 引力の主要項

  9. “Duality” picture Ri nucleon resonanse Hj intermediating heavy boson ESCでは『σ-meson』の実体が Pair term

  10. ΛＮーΛＮ O O O O total OBE TME Pair

  11. ESC model では、各チャネルでの potentialの特徴が、OBEと(PAIR+TME) の種々の組み合わせで表現されている Pair termは、OBEPにおける”σ-meson”の 役割を担うが、機能的に同じではない OBEPとの違いがS=-2状態で顕著に現れる

  12. Nuclear saturation problem Universal three-body repulsion Three-body force due to triple-meson correlation taken into account as reduction of meson mass in medium MV(ρ)=MV exp(-αρ)

  13. Saturation Curves for ESC04(NN) TNR3 αV=.18 TNR2 αV=.07 QTQ results with TNA+MIR Medium-Induced Repulsion ~ TBR

  14. Similar to TBRu MIR appear universally in all YN & YY channels

  15. Effects of Medium-Induced Repulsions Extra repulsion +6.9 +9.4 (ESC04d) Fss -20.1 -21.2 -46.0 6.1 -20.2 -8.8 48.2 +19.8 fss2 -14.8 -28.4 -48.2 6.7 -23.9 -9.2 41.2 +7.5

  16. For S=-1 hypernuclear properties, ESC04 models (including MIR) are the most reasonable among various Nijmegen models For S=-2 states ?

  17. 2001年

  18. coupling diagonal Total OBE Pair Total （斥力） Pair ESC04における強いΛΛ-ΞN結合はPair termから来ている

  19. ΛΛ phase shifts Old data Pair Nagara 強いΛΛ-ΞＮ couplingによってΛΛ引力が実現されている！

  20. ΔBΛΛ(ΛΛHe6) with G-matrix interaction (α+Λ+Λ)*(α+Ξ+N)three-body model Λ Λ Ξ N α α COSM (ΛΛ-ΛΛ) & (ΛΛ-ΞN)G-matrix interactions (ΛΛ-ΞN-ΣΣ)coupling is renormalized V-type coordinate no double counting of short-range correlation COSM(V)にはG、変分(V+T)にはV

  21. Stronger ΛΛ-ΞN coupling Exp ~ 1.0 ESC04 models are consistent with NAGARA data

  22. 一桁大きい

  23. BNL-E885 U0～ -14 MeV

  24. attractive UΞを与えるinteraction models Nijmeden D Ehime かなり 作為的 σmesons 「素直なOBEP」では無理(??) モデルを提案すること、その性質を調べることが重要！ ESC04dは一つの可能性である

  25. Ehime～ NHC-D

  26. Specific bound states in 2-,3-,4-body systems

  27. Pair OBE Total OBEとPairの役割がΛN-ΛNやΣN-ΣNと逆!!!

  28. ΛＮ case Scalarとvectorがキャンセル V V S S

  29. OBE contributions in ΞＮ 13S1 state PS V VとAがcancel Sの引力が残る S A

  30. ESC04 model が特徴あるS=-2 interactions を与える理由 Pair diagrams Axial-Vector mesons

  31. A folding model Two-range Gauss ΞN int Ξ-nucleus folding potential

  32. Ξ-+closed-core systems

  33. Lane term ~ (N-Z+1)/4 N=Z cores N>Z cores (K-,K0) Ξ hypernuclei produced by (K-,K+) reactions on available targets

  34. Folding with theoretical 3N density

  35. G-matrix interaction からOptical potential を導く標準的処方箋

  36. with ESC04d(α=0.10)

  37. calculated by Lanskoy (K-,K0) reactions are indispensable !!!

  38. Conclusion （ESC04 and Ξhypernuclei） A ”solution” ofESC04 modeling leads to attractive Ξ-well U0≒-14 MeV(if true) is realized by strong 13S1 attraction in ESC04 model There exist some s-shell Ξ-bound states dominated by 13S1 components Conversion width ΓΞ is large due to strong ΞN-ΛΛ coupling in 11S0 state

  39. Double-Λ hypernuclei rather strong ΛΛ attraction rather weak ΛΛ attraction

  40. Hiyama’s calculations for double-Λ hypernuclei Threshold energies of all sub-systems are fitted

  41. Ξハイパー核？ Twin は今・・・?

  42. Ξ-nucleus interactionが斥力とはとても考えられない

  43. s-shell Ξ hypernuclei no Ξbound state in light systems

  44. Total OBE Pair

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