Direct solution to the few-body integrodifferential equation

Abstract

In this work, a direct solution to the few-body Integrodi erential equation using the Lagrange-mesh method is presented. With the Lagrange-mesh method, the few-body Integrodi erential equation is converted into a matrix eigenvalue problem for numerical treatment. The accuracy and stability of the solution is tested by calculating groundstate binding energies for few-boson systems interacting via the Ali-Bodmer, Volkov and Maliet-Tjon (MTV) nuclear potentials for A-body systems (where A = 4; 5; 6; 7). A rapid convergence of the results is achieved and calculated ground-state energies are in good agreement with those available in the literature, where different approaches were used. The method is promising and could be extended to larger number of particles such as those involved in the Bose-Einstein condensates.