The Ξ-nuclear potential constrained by recent Ξ− hypernuclei experiments

Abstract

Abstract The Ξ-nuclear potential is investigated in the quark mean-field (QMF) model based on recent results on the Ξ− + 14N ( C Ξ − 15 ) system. The experimental data on the binding energy of 1p-state Ξ− hyperon in C Ξ − 15 hypernuclei in KISO, IBUKI, E07-T011, E176-14-03-35 events are merged as B Ξ − ( 1 p ) = 1.14 ± 0.11 MeV. With this constraint, the coupling strengths between the ω vector meson and Ξ hyperon are fixed in three QMF parameter sets. At the same time, the Ξ− binding energy of 1s state in C Ξ − 15 is predicted as B Ξ − ( 1 s ) = 5.66 ± 0.38 MeV with the same interactions, completely consistent with the data from the KINKA and IRRAWADDY events. Finally, the Ξ-nuclear potential is calculated in the symmetric nuclear matter in the same framework. It is found to be U Ξ = −11.96 ± 0.85 MeV at nuclear saturation density, which is important for the discussions of the role of strangeness in a neutron star.