论文标题
级联级别的高体型模型计算$ξ$外来的超核中有关核滴线的计算
Hyperspherical few-body model calculation for cascade $Ξ$ exotic hypernuclei with reference to nuclear drip lines
论文作者
论文摘要
在本文中，我们介绍了针对某些单一和双级联高位（$ξ^{ - } $）Hypernuclei计算的基态能量。对于类型的$_ξ^{a_c+1} $ x的超努力，我们应用了$ξ+^a_c $ x两体模型，对于类型$ _ {ξξ}^{a_c+2}的类型的超努力，我们采用了$ξ+ement $ξ+ate+^a_c $ x thref boty模型。选择具有可调参数的两项高斯（小岛类型）电位作为$ξ$ -Nucleus的相互作用，而为$ξξ$对选择了两届Yukawa型电势。在三体模型计算中，我们采用了超球形谐波扩展（HHE）形式主义。在数值上求解了受到适当边界条件的二体和三体schr {Ö} dinger方程，以获取地面能量和波浪函数。与文献中发现的观察到的值非常吻合。对计算的可观察结果的分析表明，超子保持接近核心核心。由于正常核（绑定或未结合）吸收了一个或多个$ξ$ - 氢（S），因此被发现比同一核吸收一个或多个$λ$ hyperon（s）的高核具有更大的稳定性。这一事实朝着在滴水线附近存在一个奇怪的超核山谷的可能性。
In this paper, we presented the ground state energies calculated for some single and double cascade hyperon($Ξ^{-}$) hypernuclei. For hypernuclei of the type $_Ξ^{A_c+1}$X we applied $Ξ+^A_c$X two-body model and for hypernuclei of the type $_{ΞΞ}^{A_c+2}$X we adopted $Ξ+Ξ+^A_c$X three-body model. A two-term Gaussian (Isle type) potential with adjustable parameters is chosen as the $Ξ$-nucleus interaction, while a two-term Yukawa-type potential has been chosen for the $ΞΞ$ pair. In the three-body model calculation, we adopted the hyperspherical harmonics expansion (HHE) formalism. The resulting two- and three-body Schr{ö}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 $Ξ$-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 $Λ$ 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.
