Brink Model with Tetrahedral Alpha-Particle Clusters for Three-Particle Forces

摘要

Three-particle interaction is introduced in the Brinkmodel modification that takes into account an arbitrary localization of nucleons within alpha-particle clusters. Simultaneously, the class of singleparticle variational functions is substantially extended by replacing the traditionally employed Gaussian function by the sum of Gaussian functions. In the case of the Bonche–Koonin–Negele (BKN) interaction, three Gaussian functions provide a good upper bound on the results of solving the Hartree–Fock equation for the ~4Не nucleus. It is shown that the BKN three-particle interaction simulates to some extent the effect of short-range correlations in the multiparticle wave function.