Study of the surface energy coefficient used in nuclear proximity potential from density-dependent nucleon–nucleon interactions

Abstract

The nuclear surface tension coefficient, γ, of the proximity potential is systematically investigated from the microscopic double-folding (DF) model accompanied by the realistic density-dependent nucleon–nucleon (NN) interactions. In the present work, we select six versions of density-dependent M3Y–Paris effective NN forces, including DDM3Y1 (with K=176MeV), CDM3Y1 (with K=188MeV), CDM3Y3 (with K=217MeV), CDM3Y5 (with K=241 MeV), CDM3Y6 (with K=252MeV) and BDM3Y1 (with K=270MeV). A total of 70 heavy-ion fusion reactions with condition 48≤Z1Z2≤2460 for the charge product of their reacting nuclei have been analyzed. By fitting the calculated values against the asymmetry parameter As, we present a new analytical formula for the parameter γ which is directly dependent on the nuclear matter (NM) incompressibility constant K. It is shown that the presently obtained formula in proximity potential model can reproduce the fusion data well. In this study, a discussion is also presented about the influence of the incompressibility constant K on the interaction potentials and also on the fusion cross sections resulting from the proximity approach for different heavy-ion reactions.