Two-body binding energy calculation using homogeneous and inhomogeneous Lippmann-Schwinger equations within three-dimensional approach

Abstract

Bound state equations are mostly solved in partial-wave truncated basis. In partial-wave method, we need to consider many partial waves to reach the accurate results. In this paper, we avoid partial-wave decompositions and directly work with vector variables to solve homogeneous and inhomogeneous Lippmann-Schwinger equations. We study binding energies of deuteron and atomic hydrogen using three-dimensional approach.

Keywords

• lippmann-schwinger equation
• homogeneous
• inhomogeneous
• three-dimensional approach
• deuteron
• atomic hydrogen