TY - JOUR
T1 - Density-dependent nucleon-nucleon interaction from three-nucleon forces
AU - Lovato, Alessandro
AU - Benhar, Omar
AU - Fantoni, Stefano
AU - Illarionov, Alexey Yu
AU - Schmidt, Kevin
PY - 2011/5/27
Y1 - 2011/5/27
N2 - 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≤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 interaction that can be easily employed in nuclear matter calculations, yielding results in good agreement with those obtained from the underlying three-body potential.
AB - 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≤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 interaction that 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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U2 - 10.1103/PhysRevC.83.054003
DO - 10.1103/PhysRevC.83.054003
M3 - Article
AN - SCOPUS:79960962798
SN - 0556-2813
VL - 83
JO - Physical Review C - Nuclear Physics
JF - Physical Review C - Nuclear Physics
IS - 5
M1 - 054003
ER -