Equation of state of symmetric nuclear matter and neutron matter in Brueckner-Hartree-Fock approach with three-body force

Non relativistic calculations based on purely two-body interactions fail to reproduce the correct saturation properties of symmetric nuclear matter. Further two body potentials under binds 3H and 3He. This well known deficiency is commonly corrected by introducing three-body-forces (TBF). Unfortunately, it seems not possible to reproduce the experimental binding energies of light nuclei along with the correct saturation property of SNM accurately with one simple set of TBF. Presently, the most widely used model for TBF are the Urbana VII model and the phenomenological density dependent three nucleon interaction (TNI) model of Lagris, Friedman, and Pandharipande. In this paper, the results concerning the calculation of binding energy of symmetric nuclear matter (SNM) and pure neutron matter (PNM) using Argonne V14 (AV14) two body nuclear force and the two models for three-body force (TBF) namely AV14 plus UVII and AV14 plus TNI are discussed. These models are briefly described