Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-10-05
Rom.J.Phys.55:933,2010
Physics
Nuclear Physics
Nuclear Theory
22 pages, 13 figures
Scientific paper
In the cluster expansion framework of Bose liquids we calculate analytical expressions of the two-body, three-body and four-body diagrams contributing to the g.s. energy of an infinite system of neutral alpha-particles at zero-temperature, interacting via the strong nuclear forces exclusively. This is analytically tractable by assuming a density dependent two-body correlation function of Gaussian type. For the alpha-alpha potential we adopt the phenomenological Ali-Bodmer interaction and semi-microscopic potentials obtained from the Gogny force parametrizations. We show that under such assumptions we achieve a rapid convergence in the cluster expansion, the four-body contributions to the energy being smaller than the two-body and three-body contributions by at least an order of magnitude.
Balanica V.
Carstoiu Florin
Lassaut Monique
Misicu Serban
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