Nuclear matter and finite nuclei properties using finite range simple effective interaction

The nuclear mean field as a function of momentum and density is the fundamental quantity of crucial importance in the studies related to the field of nuclear research. The importance of momentum dependence of mean field is well established from the studies involving the flow data analysis in heavy-ion (HI) collision at intermediate energies. The equation of state (EOS) of nuclear matter (NM) is connected to the behavior of mean field at Fermi momentum. The divergent results on high density behavior of nuclear symmetry energy and neutron (n) and proton (p) effective mass splitting obtained under different model calculations indicates on our poor understanding of EOS of asymmetric nuclear matter (ANM). These diverging trends obtained in connection with the isovector part of the mean field are analyzed using the finite range simple effective interaction (SEI). The usefulness of any effective model is judged from its prediction in finite nuclei. The SEI with Gaussian form has been quite successful in the prediction of bulk properties of nuclei, both spherical and deformed, over the nuclear chart