The Binding Energy and Mass of Λ-Hypernuclei

Abstract

Abstract: The binding energies, mass spectrum, and constituent masses of single -exotic hypernuclei have been investigated in the framework of quarks’ structure and the non-relativistic Schrödinger equation, with the linear interaction potential describing the electrostatic interaction between the -hyperon and the nucleus core. The ground states of the hypernuclei have been studied in the framework of the oscillator representation method. The obtained results are compared with theoretical and experimental data, showing a good agreement with other values wherever available. This indicates that the interaction between the -hyperon and the nucleus core predicted by the semi-Cornell potential based on the quark-antiquark structure of clusters acts reasonably well. Keywords: Bound states, Constituent mass, Hypernuclei, Schrödinger equation.