Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism
Document Type
Article
Publication Date
2-2-2021
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. 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.
Keywords
Binding energy, Neutron- proton asymmetry, Nuclear matter (NM), Bruckner energy density functional
Divisions
Science
Funders
Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) (2017/05660-0),FOSTECT (FOSTECT.2019B.04),Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ)
Publication Title
Physical Review C
Volume
103
Issue
2
Publisher
American Physical Society
Publisher Location
ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA