The effective interaction hyperspherical harmonics method for non-local potentials

Abstract

A different formulation of the effective interaction hyperspherical harmonics (EIHH) method, suitable for non-local potentials, is presented. The EIHH method for local interactions is first shortly reviewed to point out the problems of an extension to non-local potentials. A viable solution is proposed and, as an application, results on the ground-state properties of 4- and 6-nucleon systems are presented. One finds a substantial acceleration in the convergence rate of the hyperspherical harmonics series. Perspectives for an application to scattering cross sections, via the Lorentz transform method are discussed.

Comments: 6 pages, 1 figure, to be published in the Proceedings of the International Nuclear Physics Conference, Vancouver, 2010