Effective interaction approach to the Fermi hard-sphere system

Abstract

The formalism based on correlated basis functions and the cluster expansion technique has been recently employed to derive an effective interaction from a realistic nuclear hamiltonian. To gauge the reliability of this scheme, we perform a systematic comparison between the results of its application to the Fermi hard-sphere system and the predictions obtained from low-density expansions, as well as from other many-body techniques. The analysis of a variety of properties, including the ground state energy, the effective mass and the momentum distribution, shows that the effective interaction approach is remarkably accurate, thus suggesting that it may be employed to achieve a consistent description of the structure and dynamics of nuclear matter in the density region relevant to astrophysical applications.

10 pages, 13 figures

References in corpus (3)

• Hot neutron matter from a Self-Consistent Green's Functions approach
• Shear viscosity of neutron matter from realistic nucleon-nucleon interactions
• Neutrino scattering from hydrodynamic modes in hot and dense neutron matter

Cited by in corpus (5)

• Perturbation Theory of Nuclear Matter with a Microscopic Effective Interaction
• Superfluid Gap in Neutron Matter from a Microscopic Effective Interaction
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Transport properties of the Fermi hard-sphere system
• The hard-sphere model of strongly interacting fermion systems