Role of surface energy coefficients and nuclear surface diffuseness in the fusion of heavy-ions

Abstract

We discuss the effect of surface energy coefficients as well as nuclear surface diffuseness in the proximity potential and ultimately in the fusion of heavy-ions. Here we employ different versions of surface energy coefficients. Our analysis reveals that these technical parameters can influence the fusion barriers by a significant amount. A best set of these parameters is also given that explains the experimental data nicely.

Half-life of sphericalαemitters and intrinsic properties of nuclei

“…Here we have used the proximity model, which is well known for its simplicity and is based on the proximity force theorem [16,17]. In the first step we have employed two versions of proximity potential, i.e., proximity 2010 [18] and Bass 1980 [19-21]. In the following part the details of proximity models used for calculation of potential barrier is presented.…”

“…γ , the surface energy coefficient, has been discussed in the literature [18], and using a suitable set of parameters the original proximity potential has been improved. A modified version of proximity 1977 with surface energy coefficient γ -MN 1976/γ -MN 1995 is labeled as proximity 2010 [18]:…”

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

“…We use its definition as following, [3,8,7,20,23,24,25,28] , (1) where R is the distance between the centers of mass of the interacting nuclei, γ is the surface energy coefficient, b the nuclear surface thickness, R is the geometrical factor, ξ is the universal function and Smin is the minimum distance between the surfaces of the interacting pair of nuclei. The surface energy coefficient [14,15] can be calculated by, , (2) where Q is the neutron skin stiffness coefficient and ti is the neutron skin of the nucleus, [ 14,15] , (3) where J is the nuclear symmetry energy coefficient, , b1 = 0.757895 MeV and r0 = 1.14 fm [14,15].…”

“…where R11, R12, R21 & R22 are the principal radii of curvature of the gap between the two interacting nuclei [6,11,15,21,25,27] and are calculated using the relations below [4,7,11,15,21,22,25,27], …”

“…As known that the radius of a deformed nucleus of an axially symmetric deformation can be written as [4,7,11,15,21,22,25,27], (10) R0i is the matter radius, βi, l is the deformation parameter of order l, Yl0(θ, φ) is the spherical harmonic of order l. In PROX the matter radius [14,15] is calculated as,…”