Scattering of Two Spinless Particles in 3D Formulation with Coulomb Admixtures

TL;DR

This paper develops a 3D formulation to analyze the scattering of two spinless charged particles with Coulomb admixtures, avoiding partial wave decomposition, and calculates cross sections including Coulomb effects.

Contribution

It introduces a 3D approach to scattering with Coulomb admixtures that bypasses partial wave decomposition, applicable to finite-range forces.

Findings

Differential cross sections including Coulomb effects are computed.

Total cross sections are obtained for screened Coulomb potentials.

The method is applicable to finite-range force scenarios.

Abstract

Scattering of two spinless charge particles for simple forces including coulomb admixtures is calculated without partial wave decomposition. The coulomb interaction being taken is of the type of screened coulomb potential. For the forces range are not infinite, the standard scattering theory is applied. The differential and total cross section is calculated and coulomb effects are shown.