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Shell model study of p-shell X hypernuclei ( 12 X Be)

Shell model study of p-shell X hypernuclei ( 12 X Be). 杉本聡 京都大学 元場俊雄 大阪電通大 山本安夫 都留文科大. Introduction. Up to now, the experimental information are limited for X hyper nuclei as compared to L hyper nuclei.

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Shell model study of p-shell X hypernuclei ( 12 X Be)

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  1. Shell model studyof p-shell X hypernuclei(12XBe) 杉本聡 京都大学 元場俊雄 大阪電通大 山本安夫 都留文科大

  2. Introduction • Up to now, the experimental information are limited for X hyper nuclei as compared to L hyper nuclei. • Theoretically, a pioneer work was done by Dover and Gal (Ann. Phys. 146 (1983)) using the existent data at that time. • VX~-21~24MeV • The experiments of (K-,K+) reaction were performed at KEK (Fukuda et al. PRC 58 (1998)) and AGS (Khaustov et al. PRC 61 (2000)) • UX~-14MeV (Assuming a simple WS potential) • At JPARC, the experiment of (K-,K+) reaction is planned to explore X hypernuclei.

  3. Purpose of our study • To study the structure of X hypernuclei using the shell model with effective interactions deduced from realistic NY interaction model. • To perform a reaction calculation with the wave function from the shell model to explore what can be obtained from the experimental data. • DWIA for (K-,K+) This method has been quite successful in the study of L hypernuclei!

  4. 12C(p+,K+)12LC Experiment Hotchi et al., PRC 64 (2001) Experiment Chrien et al., NPA 478 (1988) Shell model +DWIA Itonaga et al., PRC 49 (1994) Woods-Saxon (K-P)+DWIA Motoba et al., PRC 38 (1988) From Hashimoto et al., PPNP 57

  5. Shell model calculation • 12XBe (11B+X-) (12C(K+,K-)12XBe) • Active space for nucleons: p-shell • X is fixed to the 0s1/2 orbit. • Effective interaction for nucleons: Cohen-Kurath • Effective interaction for N-X: YNG interaction by Yamamoto (G matrix, kF dependence) • YN interaction model (VN-Xが引力的) • ESC04d (Rijken and Yamamto PRC 73 044008(2006)) • NHC-D (Nagels et al. PRD 15 2547 (1977)) • Non-central part is not included.

  6. Single particle energy 12XBe • kF in YNG is determined by the condition BE(X,1-1)~4.5 MeV. • UX is comparable to the experimental data.UX~ 14MeV (Fukuda et al., Khaustov et al)

  7. p-shell matrix element of YNG • D forN-X is larger than that for N-L. • ESC04d gives quite large D. • D for ESC04d and NHC-D have opposite signs.

  8. 12XBe(11B+X) • The spectra for ESC04d and NHC-D show different behavior. • The orders of the lowest two levels are different because of the sign changes of spin-spin part between ESC04d and NHC-D. • ESC04d: intermediate (strong) coupling • NHC-D: weak coupling (at least in the T=0 channel) 11B+X

  9. DWIA計算 12C(K-,K+)12XBe • 殻模型計算で得られた波動関数を用いてDWIA計算を行った。 • (K-,K+)反応 • 運動量移行が大きい（~500MeV/c@pK-=1.6GeV/c)のでJ-stretchedの状態が強く励起される。 • アイソスピン移行は1

  10. T=1, 1- state in 12XBe T=1/2 • 12C(K-,K+)12XBe反応で強く励起されるのはT=1,1-の状態。 • ESC04dとNHC-Dでは波動関数の中身が大きく違う。（相互作用の違いを反映） (P(3/2-1Xs1/2),P(1/2-1Xs1/2),P(3/2-2Xs1/2))

  11. Exicitation Function NHC-D Smearing factor: 2MeV

  12. Excitation Function ESC04d Smearing factor: 2MeV

  13. Excitation Functionの比較 ESC04d NHC-D • 波動関数（NY相互作用）の違いが励起関数に反映される。 X0p1/2 Woods-Saxon potential (Khaustov et al, PRC 61) X0s1/2

  14. Summary • 12XBeに対してN-X相互作用としてESC04dとNHC-Dに基づいたものを用いて殻模型計算を行った。 • ESC04dとNHC-Dとでは波動関数の中身が大きく違う。 • 殻模型波動関数を用いて12C(K-,K+)12XBe反応に対する励起関数を求めた。 • 励起関数は波動関数の違いを反映しESC04dとNHC-Dとで大きく異なる。→N-X相互作用の情報を得られる可能性？ • 今後の課題 • Xp→LLに対する幅 • 連続状態の影響（p状態) • 他のN-X相互作用を用いた計算 • fss2 etc.

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