Single- hypernuclei with quark mean field model
The single- hypernuclei are studied using a quark mean field model. At the quark level, the hyperon is composed of one quark and two quarks, which are confined by the harmonic oscillator potentials. In the case of hadrons, the baryons interact with each other by exchanging , and mesons between quarks in different baryons. The single- binding energies of hypernuclei are investigated from to using different parameter sets, which are determined by the ground-state properties of several stable nuclei and the empirical values of the single- and potentials at the nuclear saturation density. For the bound states of (i.e., ) system named as KISO event in KEK-E373 experiment, it is found that the binding energies are around MeV for state and MeV for state with QMF-NK1S, QMF-NK2S, and QMF-NK3S parameter sets, whose single potentials are MeV. These results and those from cluster models with the Gaussian expansion method concerning on the show that in the KISO event, the hyperon may occupy the state. Furthermore, the binding energies are achieved around MeV for the (i.e., ) system. The energies were nearly comparable to the single- binding energy of observed by experiments. It demonstrates that the and hyperons seem to appear simultaneously in a neutron star.