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Collective excitations of $$Lambda$$ hypernuclei

$$Lambda$$ハイパー核の集団励起状態

萩野 浩一*; Yao, J. M.*; 湊 太志; Li, Z. P.*; Thi Win, M.*

Hagino, Koichi*; Yao, J. M.*; Minato, Futoshi; Li, Z. P.*; Thi Win, M.*

自己無撞着平均場理論を用いたハイパー核の低エネルギー集団励起状態について研究を行った。まず最初に、sd殻領域におけるハイパー核の変形度を、相対論的平均場理論を用いて調べ、$$Lambda$$粒子を$$^{28}$$Siに導入することで、そのオブレート変形が消えることがわかった。さらに、Skyrme-Hartree-Fock法で得られた変形変数による3次元ポテンシャル面を使って、$$^{25}$$Mgの回転励起状態を調べた。その結果、$$^{25}$$Mgの変形度は$$Lambda$$粒子の存在によってわずかに小さくなり、基底回転励起バンドにおける電磁遷移確率$$B(E2)$$値が減少することを予測した。また、乱雑位相近似法をハイパー核に拡張し、その手法を用いて、コア核と$$Lambda$$粒子が逆位相で振動する新しい双極子モードが、ハイパー核に現れる可能性があることを示した。

We discuss low-lying collective excitations of hypernuclei using the self-consistent mean-field approaches. We first discuss the deformation properties of hypernuclei in the sd-shell region. Based on the relativistic mean-field approach, we show that the oblate deformation of $$^{28}$$Si nucleus may disappear when a particle is added to this nucleus. We then discuss the rotational excitations of $$^{25}$$Mg nucleus using the three-dimensional potential energy surface in the deformation plane obtained with the Skyrme-Hartree-Fock method. The deformation of $$^{25}$$Mg nucleus is predicted to be slightly reduced due to an addition of particle. We demonstrate that this leads to a reduction of electromagnetic transition probability, $$B(E2)$$, in the ground state rotational band. We also present an application of random phase approximation to hypernuclei, and show that a new dipole mode appears in hypernuclei, which can be interpreted as an oscillation of particle against the core nucleus.

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