Abstarct: One of the fundamental goals of nuclear physics is the study of cells and their internal structures . First, we investigated and found not to investigate and identify the nuclei of cells and to study their internal structure directly and easily. When we want to study nuclear forces and laws governing the interaction of elementary particles and dispersion techniques should I use to calculate the scattering cross section and the scattering length . The scattering problem is one of important problems in physics. To explore the vicinity of a scattering potential , the Schrödinger equation must be solved to obtain the eigenvalues and the corresponding potential and the wave function . The second phase covered the review of appropriate techniques to solve the Schrödinger equation and then determine the appropriate method . Then we got in a central potential , such as the Wood -Saxon potential and the potential in the vicinity have solved the Schrödinger equation for the analysis of the wave function energy eigenvalues. We've dealt with a variety of appropriate techniques to evaluate the energy dispersion and scattering cross sections have been calculated and the scattering length . Then we took a step further and put in a two -dimensional potential , we consider the case of two-dimensional potential depends on two variables , the analytical calculations . In this dissertation we have covered the approximation WkB using appropriate methods to evaluate the potential of two -dimensional scattering in the vicinity , and have obtained the scattering cross section and the scattering phase in terms of displacement .