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arXiv · 1910.05884

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

Yun Jin·Xian-Rong Zhou·Yi-Yuan Cheng·H. -J. Schulze
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Abstract

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

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Yun Jin, Xian-Rong Zhou, Yi-Yuan Cheng, H. -J. Schulze. 2019-10-14. Study of $\Xi^-$ hypernuclei in the Skyrme-Hartree-Fock approach. https://doi.org/10.1140/epja%2Fs10050-020-00143-7

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