The properties of \({\varXi ^{-}}\) hypernuclei are studied systematically using a two-dimensional Skyrme–Hartree–Fock approach combined with three different \(\varXi N\) Skyrme forces fitted to reproduce the existing data. We explore the impurity effect of a single \({\varXi ^{-}}\) hyperon on the radii, deformations, and density distributions of the nuclear core and point out qualitative differences between the different forces. We find that the \({\varXi ^{-}}\) removal energy of \(^{13}_{\varXi p}\)B [\(^{12}\)C(g.s.)+\({\varXi ^{-}}\)(1p)] calculated by the SLX3 force is 0.7 MeV, which is in good agreement with a possible value of \(0.82\pm 0.17\;\)MeV from the KEK E176 experiment. The theoretical prediction for this weakly bound state depends strongly on the deformation of the nuclear core, which is analyzed in detail.

中文翻译：

---

Skyrme–Hartree–Fock方法中的$$ {\ varvec {{\ varXi ^ {-}}}} $$Ξ-超核研究

使用二维Skyrme–Hartree–Fock方法，结合三种适合复制现有数据的\（\ varXi N \） Skyrme力，系统地研究了\（{{varXi ^ {-}} \）超核的性质。我们探索单个\（{{varXi ^ {-}} \）超子对核芯半径，变形和密度分布的杂质影响，并指出不同作用力之间的质量差异。我们发现，\（{\ varXi ^ { - }} \）的去除能量\（^ {13} _ {\ varXi p} \） B [ \（^ {12} \） C（GS）+ \（由SLX3力计算出的{\ varXi ^ {-}} \）（1p）]为0.7 MeV，这与可能的值为（ 0.82pm 0.17pm ;; ） MeV来自KEK E176实验。对于这种弱束缚态的理论预测在很大程度上取决于核芯的变形，对此进行了详细分析。