A NUCLEAR-MATTER STUDY USING THE DENSITY DEPENDENT M3Y INTERACTION

The basic nuclear matter properties are calculated within the standard Hartree-Fock scheme using a Michigan version of the in-medium NN interaction (the so-called M3Y interaction). Due to the attractive character of the M3Y interaction, the saturation requirement for the nuclear matter is not fulfilled and the nuclear matter generated with this interaction is unstable against collapse. This necessitates the introduction of an appropriate density dependence into the original M3Y interaction. Our density dependent versions of the M3Y interaction consistently reproduce the equilibrium density and binding energy of the normal nuclear matter as well as the microscopic results (obtained by Jeukenne, Lejeune and Mahaux) for the nucleon optical potential. They can be used in the folding model to calculate the nucleon-nucleus and nucleus-nucleus potentials. A possible study of the cold nuclear equation of state through heavy-ion scattering, which is based on the use of the new interaction to calculate the heavy-ion optical potential, is also discussed.