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.

8 pages, 3 figures, 1 table

References in corpus (5)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• The Skyrme Interaction in finite nuclei and nuclear matter
• Hypernuclear Physics for Neutron Stars
• Light $\Xi$ hypernuclei in four-body cluster models
• Structure of ${}_{\Lambda }^{10}$Be and ${}_{\Lambda }^{10}$B hypernuclei studied with the four-body cluster model

Cited by in corpus (5)

• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Density Functional approach for multi-strange hypernuclei: competition between $\Lambda$ and ${\Xi }^{0,-}$ hyperons
• Single-${\Xi }^{-}$ hypernuclei with quark mean field model
• Continuum Skyrme-Hartree-Fock-Bogoliubov theory with Green's function method for odd-$A$ nuclei
• Ground-state properties of light kaonic nuclei signaling symmetry energy at high densities