# Density-dependent nucleon-nucleon interaction from three-nucleon forces - Nuclear Theory

Abstract: Microscopic calculations based on realistic nuclear hamiltonians, whileyielding accurate results for the energies of the ground and low-lying excitedstates of nuclei with $A \leq 12$, fail to reproduce the empirical equilibriumproperties of nuclear matter, that are known to be significantly affected bythree-nucleon forces. We discuss a scheme suitable to construct adensity-dependent two-nucleon potential, in which the effects of $n$-particleinteractions can be included by integrating out the degrees of freedom of$n-2$-nucleons. Our approach, based on the formalism of correlated basisfunction and state-of-the-art models of the two- and three-nucleon potentials,leads to an effective interactionthat can be easily employed in nuclear mattercalculations, yielding results in good agreement with those obtained from theunderlying three-body potential.

Author: Alessandro Lovato, Omar Benhar, Stefano Fantoni, Alexey Yu. Illarionov, Kevin E. Schmidt

Source: https://arxiv.org/