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Cluster Expansion of Cold Alpha Matter Energy

Abstract : 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.
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http://hal.in2p3.fr/in2p3-00566414
Contributor : Sophie Heurteau <>
Submitted on : Wednesday, February 16, 2011 - 10:41:55 AM
Last modification on : Wednesday, September 16, 2020 - 4:08:30 PM

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  • HAL Id : in2p3-00566414, version 1
  • ARXIV : 1010.0840

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F. Carstoiu, S Misicu, V. Balanica, M. Lassaut. Cluster Expansion of Cold Alpha Matter Energy. Romanian Journal of Physics, 2010, 55, pp.933. ⟨in2p3-00566414⟩

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