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Mean-field approaches for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi mathvariant="normal">Ξ</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> hypernuclei and current experimental data
Motivated by the recently observed hypernucleus (Kiso event) $_{\phantom{\rule{2.70004pt}{0ex}}\mathrm{\ensuremath{\Xi}}}^{15}\mathrm{C}$ ($^{14}\mathrm{N}+{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}$), we identify the state of this system theoretically within the framework of the relativistic-mean-field and Skyrme--Hartree--Fock models. The $\mathrm{\ensuremath{\Xi}}N$ interactions are constructed to reproduce the two possibly observed ${\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}$ removal energies, $4.38\ifmmode\pm\else\textpm\fi{}0.25$ MeV or $1.11\ifmmode\pm\else\textpm\fi{}0.25$ MeV. The present result is …