Calculation of differential and total cross section for Positron-Hydrogen impact in transition from ground to and excited states by using Coulomb wave in excitation channel

In the present work the differential and total cross section for positron-hydrogen collisions has been calculated by using Coulomb wave in excitation channel. The method has been applied to study and transition of atomic hydrogen by positron impact at intermediate energy range Calculation of the scattering amplitude has been done by handling a new analytical method. Because of absence the experimental data in the discussed energy range our results have been compared with the available theoretical data. The results denote that considering Coulomb wave as the projectile wave function leads to better results in comparison with plane wave at intermediate energy range.