P-shell hypernuclear energy spectra using the Gogny-interaction shell model

Abstract

Recent high-resolution experiments at JLab give the energy spectra of the hypernuclei , , and . However, their spins and parities of the excited states have not been known experimentally. In the present paper, we make a systematical theoretical investigation for the p-shell hypernuclei, within the shell model based on the nucleon–nucleon (NN) and hyperon–nucleon interactions. The effective NN interaction takes the finite-range density-dependent Gogny force, and the hyperon–nucleon interaction takes an empirical ΛN interaction which includes the ΛN–ΣN and ΣN–ΣN coupling effects. The shell model with the Gogny force without parameters being refitted can reasonably describe both spectra and binding energies of the p-shell nuclei, which gives a confidence for the further calculations of hypernuclei. We compare our results with experimental data as well as various theoretical calculations, and explain the recent experimental hypernuclear spectra observed at JLab.