Relativistic excited state binding energies and RMS radii of Λ-hypernuclei

Abstract

Using an analytical solution for the relativistic equation of single [Formula: see text]-hypernuclei in the presence of Woods–Saxon (WS) potential we present, for the first time, an analytical form for the excited state binding energies of 1p, 1d, 1f and 1g shells of a number of hypernuclei. Based on phenomenological analysis of the [Formula: see text] binding energies in a set of [Formula: see text]-hypernuclei, the WS potential parameters are obtained phenomenologically for the set of [Formula: see text]-hypernuclei. Systematic study of the energy levels of single [Formula: see text]-hypernuclei enables us to extract more detailed information about the [Formula: see text]-nucleon interaction. We also study the root mean square (RMS) radii of the [Formula: see text] orbits in the hypernuclear ground states. Our results are presented for several hypernuclei and it is shown that our results for the binding energies are in good agreement with experimental data.