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 Brückner 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. Furthermore, 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 or semiclosed-shell even-even ${}^{16}\mathrm{O}, {}^{40}\mathrm{Ca}, {}^{48}\mathrm{Ca}, {}^{56}\mathrm{Ni}, {}^{90}\mathrm{Zr}, {}^{116}\mathrm{Sn}$, and ${}^{208}\mathrm{Pb}$ nuclei. The values obtained for the neutron pressure $P^A$, symmetry energy $S^A$, and its derivative $L_{\mathrm{sym}}^A$ known as the slope parameter lie within a narrow domain whereas there is a large variation in isoscalar incompressibility $K^A$ and surface incompressibility $K_{\mathrm{sym}}^A$ while moving from light to heavy nuclei. The sizable variation in $K^A$ and $K_{\mathrm{sym}}^A$ 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 Brückner energy density functional.

• Received 6 August 2020
• Revised 15 December 2020
• Accepted 25 January 2021

DOI:https://doi.org/10.1103/PhysRevC.103.024305