Solution of few-body problems with the stochastic variational method: I. Central forces

Abstract

This paper presents a fortran program to solve diverse few-body problems with the stochastic variational method. Depending on the available computational resources the program is applicable for $N=2-3-4-5-6-...$-body systems with $L=0$ total orbital momentum. The solution with the stochastic variational method is ``automatic'' and universal. One defines the system (number of particles, masses, symmetry, interaction, etc. ) and the program finds the ground state energy and wave function. The examples include nuclear (alpha particle: four-body, $^6$He: six-body), atomic (td$μ^-$ and $e^+e^-e^+e^-$) and subnuclear (the nucleon and the delta in a nonrelativistic quark model) systems. The solutions are accurate for excited states as well, and even the Efimov-states can be studied. The program is available from the author (e-mail:[e-mail]).