Abstarct: A number of static properties of nuclei can be described significantly using cluster model. The most important of these features are the binding energy and charge radius. Understanding the static and dynamic properties and their interpretation baxsed on the interaction between the individualnucleus in the core, is one of the most important goals in nuclear physics. In this thesis to study the core mechanism of lithium and Beryllium isotopes used. There are a variety of models in nuclear physics to study of nuclei, in this work we have used cluster model. On the other hand, the Coulomb repulsion and Yukawa potential are important in physics, which is intended for interaction inside the nucleus......