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arXiv · 1011.3784

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

Alessandro Lovato·Omar Benhar·Stefano Fantoni·Alexey Yu. Illarionov·Kevin E. Schmidt
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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 $A \leq 12$, 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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Alessandro Lovato, Omar Benhar, Stefano Fantoni, Alexey Yu. Illarionov, Kevin E. Schmidt. 2010-11-16. Density-dependent nucleon-nucleon interaction from three-nucleon forces. https://doi.org/10.1103/physrevc.83.054003

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