English

Study of $\Xi^-$ hypernuclei in the Skyrme-Hartree-Fock approach

Nuclear Theory 2020-06-24 v2

Abstract

The properties of Ξ\Xi^- hypernuclei are studied systematically using a two-dimensional Skyrme-Hartree-Fock approach combined with three different ΞN\Xi N Skyrme forces fitted to reproduce the existing data. We explore the impurity effect of a single Ξ\Xi^- 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 Ξ\Xi^- removal energy of Ξp13^{\hskip0.10em13}_{\Xi p}B [12^{12}C(g.s.)+ Ξ\Xi^-(1p)] calculated by the SLX3 force is 0.7 MeV, which is in good agreement with a possible value of 0.82±0.17  0.82\pm0.17\;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.

Keywords

Cite

@article{arxiv.1910.05884,
  title  = {Study of $\Xi^-$ hypernuclei in the Skyrme-Hartree-Fock approach},
  author = {Yun Jin and Xian-Rong Zhou and Yi-Yuan Cheng and H. -J. Schulze},
  journal= {arXiv preprint arXiv:1910.05884},
  year   = {2020}
}