Comparative study of Coulomb barrier parameters for deformed nuclei using double-folding model and proximity approach

Effects of the deformation orders β6 & β8 on the fusion parameters for spherical-deformed interacting pair

“…where & is the densities normalization constant, a is the diffuseness parameter which is equal to 0.5 fm [13]. As the matter radius [9] used here in DFM is given by,…”

Comparison between different proximity potentials and the double-folding model for spherical–deformed interacting nuclei

“…(1) is used to evaluate both the nuclear and Coulomb contributions of the heavy-ion potential. We assume the realistic Fermi shape density distributions for both the spherical and deformed nuclei [1,13]. In the present calculations, we use the well-known M3Y-Reid effective Nucleon-Nucleon (NN) interaction [4] to compute the nuclear part, which is given by 4 2 .…”

“…(8) are given in Refs. [1,[18][19]. In case of axially-symmetric nuclei, the nuclear radius   2 2 R  is defined as follows:…”

“…Therefore, the 14-versions of the proximity approaches are different in three main quantities; namely: the universal function ϕ, the surface energy coefficient γ and the central radius form R0i. In evaluating the shortest distance s between two colliding nuclei, we follow the methodology explained in [1]. Referring to Fig.…”

“…In recent papers [1,2], we studied the azimuthal angle and nuclear deformation dependences of the Coulomb barrier parameters (the height of barrier, VB, and its radius, RB) for deformed-deformed pairs of nuclei using the double folding model (DFM) [3][4][5][6] and a simple model based on the proximity approach [7] combined with Denisov's formula [8]. Both models were used to derive the nuclear and Coulomb contributions of the heavy ion (HI) potential.…”