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※ 半角英数字
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Application of random-phase approximation to vibrational excitations of double-$$Lambda$$ hypernuclei

乱雑位相近似法を用いたダブル$$Lambda$$ハイパー核の振動励起状態の研究

湊 太志; 萩野 浩一*

Minato, Futoshi; Hagino, Koichi*

Hartree-Fockと乱雑位相近似法(HF+RPA)を用いて、ダブル$$Lambda$$ハイパー核の集団励起振動に対する$$Lambda$$粒子の不純物効果を調べた。$$Lambda N$$及び$$LambdaLambda$$間の相互作用としてSkyrme型の相互作用をHF計算で採用し、RPA計算にも同じ相互作用を用いた。2つの$$Lambda$$粒子の導入によって$$^{16}$$Oの集団運動状態のエネルギーが高いエネルギーへ移動することがわかった。特に$$^{18}_{LambdaLambda}$$Oと$$^{210}_{LambdaLambda}$$Pbの巨大単極子振動のエネルギーが大きくなることがわかった。このことは$$Lambda$$粒子の不純物効果によって、原子核の圧縮率が大きくなることを示している。

Using the Hartree-Fock plus random-phase-approximation (HF+RPA), we study the impurity effect of $$Lambda$$ hyperon on the collective vibrational excitations of double-$$Lambda$$ hypernuclei. To this end, we employ a Skyrme-type $$Lambda N$$ and $$LambdaLambda$$ interactions for the HF calculations, and the residual interactions for RPA derived with the same interactions. We find that inclusion of two $$Lambda$$ hyperons in $$^{16}$$O shifts the energy of the collective states towards higher energies. In particular, the energy of the giant monopole resonance of $$^{18}_{LambdaLambda}$$O, as well as that of $$^{210}_{LambdaLambda}$$Pb, becomes larger. This implies that the effective incompressibility modulus increases due to the impurity effect of $$Lambda$$ particle, if the $$beta$$-stability condition is not imposed.

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