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

Recent high-resolution experiments at JLab give the energy spectra of the hypernuclei ⁷ _λHe, ⁹ _λLi, ¹⁰ _λBe and ¹² _λB. 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.