The adiabatic solution of the few-body integrodifferential equation

Abstract

The original two-variable integrodifferential equation for few-body systems is mod ified by introducing boundary conditions in the radial and angular domains. The accuracy of the adiabatic approximation in solving this two-variable modified few body integrodifferential equation is investigated. In this approximation the inte grodifferential equation is decoupled into two single-variable equations for the ra dial motion and angular motion. The two equations are solved using the Lagrange-mesh methods. Ground-state energies of systems of particles interacting through realistic nucleon-nucleon and alpha-alpha interacting potentials and constituted by various numbers of particles are considered. The ground-state energies obtained are compared with those from the solution of the original two-variable integrodifferential equation as well as those obtain by other methods reported in the literature.