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

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.