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

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

2010-11-16

arxiv.org/abs/1011.3784v1

Phys.Rev.C83:054003,2011

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevC.83.054003

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 $A \leq 12$, 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.

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