Alessandro Lovato

SISSA, Trieste, Italy

Three body forces in nuclear matter: a comparative analysis

Recently it has been found that Argonne v18 plus UIX fails to explain the measured neutron-deuteron doublet scattering length. By using an effective density dependent interaction derived from the UIX potential in Monte Carlo calculations, we found that the underbinding of symmetric nuclear matter has not to be ascribed to deficiencies of the variational wave function. These problem can be largely due to the uncertainties associated with the description of three-nucleon interactions. A new generation of local three-body potentials providing an excellent description of the properties of light nuclei, as well as of the neutron-deuteron doublet scattering length, has been recently derived. We have performed a comparative analysis of the equations of state of both pure neutron matter and symmetric nuclear matter obtained using these models of three-nucleon forces. None of the considered potentials simultaneously explains the empirical equilibrium density and binding energy of symmetric nuclear matter. However, two of them provide reasonable values of the saturation density. The ambiguity concerning the treatment of the contact term of the chiral inspired potentials is discussed.

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