Effects of many-body interactions in hypernuclei with Korea-IBS-Daegu-SKKU functionals

초록

We investigate the properties of Lambda hyperon in Lambda-hypernuclei using an effective nuclear density functional theory which is based on the low-energy effective field theory. It expands the energy density in the power of Fermi momentum, and consequently has multiple density dependence for the effective many-body interactions. Starting from the effective density functional for nucleons, we determine the parameters for the two- and many-body Lambda-N interactions added to the nucleon energy density functional by fitting to Lambda-hypernuclear data. The experimental data consist of the energy levels of a A hyperon in the p-, and d-states as well as s-state of Lambda-hypernuclei in the mass range from O-16(Lambda) to (Lambda)208 Pb. The results turn out to properly explain the data relevant to hypernuclei owing to the effective many-body interaction apart from a few data in light hypernuclei. This hyperon functional is applied to study the A hyperon binding energy of the neutron-rich 124-136 Sn-Lambda isotopes which are under consideration for the measurement at J-PARC. Our results are shown to be insensitive to the density dependence of symmetry energy. We also examine the nuclear matter including Lambda hyperon. We note that the hyperon threshold density depends on the nuclear matter properties.

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