Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism
Abstract
We obtained a density-dependent analytical expression of binding energy per nucleon for different neutron-proton asymmetry of the nuclear matter (NM) with a polynomial fitting, which manifests the results of effective field theory motivated relativistic mean-field (E-RMF) model. This expression has the edge over the Bruckner energy density functional [Phys. Rev. 171, 1188 (1968)] since it resolves the Coster-Band problem. The NM parameters like incompressibility, neutron pressure, symmetry energy, and its derivatives are calculated using the acquired expression of energy per nucleon. Further, the weight function calculated by E-RMF densities are folded with calculated NM parameters within coherent density fluctuation model to find the properties of closed/semi-closed-shell even-even 16O, 40Ca, 48Ca, 56Ni, 90Zr, 116Sn, and 208Pb nuclei. The values obtained for the neutron pressure PA, symmetry energy SA and its derivative LsymA known as slope parameter, lie within a narrow domain whereas there is a large variation in isoscalar incompressibility KA and surface incompressibility KsymA while moving from light to heavy nuclei. The sizable variation in KA and KsymA for light and heavy nuclei depicts their structural dependence due to the peculiar density distribution of each nucleus. A comparison of surface quantities calculated in the present work has also been made with ones obtained via Bruckner energy density functional.