Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism

• Main Authors: Kumar, Ankit, Das, H. C., Kaur, Manpreet, Bhuyan, Mrutunjaya, Patra, S. K.
• Format: Article
• Published: American Physical Society 2021
• Subjects: QC Physics
• Online Access: http://eprints.um.edu.my/26841/; https://doi.org/10.1103/PhysRevC.103.024305

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. 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 O-16, Ca-40, Ca-48, Ni-56 , Zr-90, (116 )n, and Pb-208 nuclei. The values obtained for the neutron pressure P-A, symmetry energy S-A , and its derivative L(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-sym(A) while moving from light to heavy nuclei. The sizable variation in K-A and K-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 Bruckner energy density functional.