Mean field approaches for ${\Xi }^{-}$ hypernuclei and current experimental data

Abstract

Motivated by the recently observed hypernucleus (Kiso event) ${}_{\Xi }^{15}$C (${}^{14}$N$+{\Xi }^{-}$), we identify the state of this system theoretically within the framework of the relativistic-mean-field and Skyrme-Hartree-Fock models. The $\Xi N$ interactions are constructed to reproduce the two possibly observed ${\Xi }^{-}$ removal energies, $4.38\pm 0.25$ MeV or $1.11\pm 0.25$ MeV. The present result is preferable to be ${}^{14}\mathrm{N}(g.s.)+{\Xi }^{-}(1p)$, corresponding to the latter value.

Comments: 8 pages, 3 figures, 1 table