Density-dependent nucleon-nucleon interaction from three-nucleon forces

Abstract

Microscopic calculations based on realistic nuclear hamiltonians, while yielding accurate results for the energies of the ground and low-lying excited states of nuclei with $A\le 12$, fail to reproduce the empirical equilibrium properties of nuclear matter, that are known to be significantly affected by three-nucleon forces. We discuss a scheme suitable to construct a density-dependent two-nucleon potential, in which the effects of $n$-particle interactions can be included by integrating out the degrees of freedom of $(n-2)$-nucleons. Our approach, based on the formalism of correlated basis function and state-of-the-art models of the two- and three-nucleon potentials, leads to an effective interactionthat can be easily employed in nuclear matter calculations, yielding results in good agreement with those obtained from the underlying three-body potential.

References in corpus (5)

• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Cold neutrons trapped in external fields
• Hot neutron matter from a Self-Consistent Green's Functions approach
• Shear viscosity of neutron matter from realistic nucleon-nucleon interactions
• Quantum Monte Carlo calculations of symmetric nuclear matter