Study of Fusion Dynamics Using Skyrme Energy Density Formalism with Different Surface Corrections

Abstract

Within the framework of Skyrme energy density formalism, we investigate the role of surface corrections on the fusion of colliding nuclei. For this, the coefficient of surface correction was varied between 1/36 and 4/36, and its impact was studied on about 180 reactions. Our detailed investigations indicate a linear relationship between the fusion barrier heights and strength of the surface corrections. Our analysis of the fusion barriers advocate the strength of surface correction of 1/36.

Systematic study of two-proton radioactivity within various versions of proximity formalisms

“…It provides a simple formula for the nucleus-nucleus interaction energy as a function of the separation between the surface of the approaching nuclei with the advantages for free of adjustable parameters and makes use of the measured values of the nuclear surface tension and the surface diffuseness. In this work, we extend the CPPM to study the half-lives of 2p radioactivity with 26 different versions of proximity potential formalisms, which are : (i) Prox.77 [48] and its 12 modified forms on the basis of adjusting the surface energy coefficient γ 0 and k s [71][72][73][74][75][76][77][78][79], (ii) Prox.81 [80], (iii) Prox.00 [81] and its revised versions Prox.00DP [55], Prox.2010 [82] and Dutt2011 [83], (iv) Bass73 [84,85] and its revised version Bass80 [86], (v) CW76 [87] and its revised version AW95 [88], (vi) Ng o80 ˆ [89], (vii) Denisov [90] and its revised version Denisov DP [55], (viii) Guo2013 [91]. The more detailed expressions for these proximity potential formalisms are listed in the following.…”

“…Dutt and Bensal [82] presented another modified version of Prox.00 [81] in 2010, which is labeled as Prox.2010 and expressed as…”

“…Here R ¯has the same form as Prox.2010 [82], but the nuclear charge radius R i is different. It can be expressed as…”

“…The neutron skin t i has the same form as Prox.00 DP [55]. The surface energy coefficient γ and universal function f(ξ) are as same as Prox.2010 [82], respectively.…”