标题： 基于核滴线的级联$Ξ$异常超核的超球面少体模型计算 显示英文标题

标题： Hyperspherical few-body model calculation for cascade $Ξ$ exotic hypernuclei with reference to nuclear drip lines

摘要： 在本文中，我们计算了某些单重和双重级联超子(${\Xi}^{-}$)超核的基态能量。 对于类型的$_{\Xi}^{A_c+1}$X 超核，我们应用了$\Xi+^A_c$X 两体模型，而对于类型的$_{\Xi\Xi}^{A_c+2}$X 超核，我们采用了$\Xi+\Xi+^A_c$X 三体模型。 选择了一个具有可调参数的两项高斯（Isle型）势作为$\Xi$-核相互作用，而两项Yukawa型势则被选作$\Xi\Xi$对的相互作用。 在三体模型计算中，我们采用了超球谐波展开（HHE）形式。 求解满足适当边界条件的两体和三体薛定谔方程，以获得基态能量和波函数。 计算值与文献中观察到的结果非常一致。 对计算可观测量的分析表明，超子靠近核心核。 由正常原子核（结合或非结合）吸收一个或多个$\Xi$重子形成的超核被发现比由同一原子核吸收一个或多个$\Lambda$重子形成的超核更稳定。 这一事实暗示了在滴线附近可能存在一个奇异超核的低谷。 显示英文摘要

摘要： In this paper, we presented the ground state energies calculated for some single and double cascade hyperon(${\Xi}^{-}$) hypernuclei. For hypernuclei of the type $_{\Xi}^{A_c+1}$X we applied $\Xi+^A_c$X two-body model and for hypernuclei of the type $_{\Xi\Xi}^{A_c+2}$X we adopted $\Xi+\Xi+^A_c$X three-body model. A two-term Gaussian (Isle type) potential with adjustable parameters is chosen as the $\Xi$-nucleus interaction, while a two-term Yukawa-type potential has been chosen for the $\Xi\Xi$ pair. In the three-body model calculation, we adopted the hyperspherical harmonics expansion (HHE) formalism. The resulting two- and three-body Schr{\"o}dinger equations subject to appropriate boundary condition's have been solved numerically to get the ground-state energies and wavefunctions. Computed values are in excellent agreement with the observed ones as found in the literature. Analysis of the calculated observables indicates that the hyperons stay close to the core-nucleus. Hypernuclei formed as a result of absorption of one or more $\Xi$-hyperon(s) by a normal nucleus (bound or unbound) are found to have more stability than those formed as a result of absorption of one or more $\Lambda$ hyperon(s) by the same nucleus. This fact flashes towards the possibility of the existence of a valley of strange hypernuclei near the drip lines.