Single-- hypernuclei with quark mean field model
Abstract
The single-- hypernuclei are studied using a quark mean field model. At the quark level, the - hyperon is composed of one d quark and two s quarks, which are confined by the harmonic oscillator potentials. In the case of hadrons, the baryons interact with each other by exchanging σ, ~ω, and mesons between quarks in different baryons. The single-- binding energies of hypernuclei are investigated from -12Be to 208-Tl 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 -+14N (i.e., 15-C) system named as KISO event in KEK-E373 experiment, it is found that the - binding energies are around 5.61-5.89 MeV for 1s state and 0.94-1.21 MeV for 1p state with QMF-NK1S, QMF-NK2S, and QMF-NK3S parameter sets, whose single potentials are -12 MeV. These results and those from cluster models with the Gaussian expansion method concerning on the -+12Be show that in the KISO event, the - hyperon may occupy the 1p state. Furthermore, the - binding energies are achieved around 27 MeV for the -+207Pb (i.e., 208-Tl) system. The energies were nearly comparable to the single- binding energy of 208Pb observed by experiments. It demonstrates that the and - hyperons seem to appear simultaneously in a neutron star.
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