Simple procedure for solving few-body equations

Abstract

In this work we propose a procedure for iterative improvement of the adiabatic solution of the hyperspherical-harmonics technique. The usefulness of the method is demonstrated by calculating the binding energies of the ground and first excited state of the4He nucleus using several nucleon-nucleon interactions. The procedure is found to be simple and very stable. We compare the elastic charge form factor of the4He nucleus obtained by the usual adiabatic solutions and the improved version of this work. This comparison gives valuable physical insight into the nature of the adiabatic approximations.