Abstract
An improvement of the recently developed effective interaction method for the hyperspherical formalism is presented. The method is extended to include contributions of three-body effective forces and of the nonadiabatic kinetic energy term. The role of these two additional contributions is tested on the binding energy of ${}^{4}\mathrm{He}$ and ${}^{6}\mathrm{Li}$ using semirealistic and more realistic NN potential models. The rate of convergence is improved considerably, opening up the possibility to use the method with realistic two- and three-body potentials for the $\ensuremath{\alpha}$-particle and for few-body nuclei with more than four nucleons.
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