A Simple Efficient Method for Obtaining the Binding Energy of Lithium Nucleus under the Hulth\'en and Inversely Quadratic Yukawa Potentials

TL;DR

This paper presents an analytical method using supersymmetry to calculate the binding energy of Lithium nucleus under specific potentials, achieving results close to experimental data.

Contribution

It introduces an exact analytical approach to compute nuclear binding energies using supersymmetry for the Hulthén and Inversely Quadratic Yukawa potentials.

Findings

Calculated binding energies closely match experimental values.

Analytical solutions obtained for Schrödinger equation with these potentials.

Method demonstrates effectiveness for nonrelativistic nuclear models.

Abstract

In this paper, the binding energy of Lithium nucleus in a nonrelativistic model is obtained for the Hulth\'en and the Inversely Quadratic Yukawa Potential. In order to that, we used the concept of supersymmetry to solving the Schr\"odinger equation exact analytically. These potentials, due to their physical interpretations, are of interest within many areas of theoretical physics. The results of our model for all calculations show that the ground state binding energy of Lithium nucleus with these potentials are very close to the ones obtained in experiments.