Study of fusion dynamics using Skyrme energy density formalism with different surface corrections

TL;DR

This study explores how surface corrections in the Skyrme energy density formalism influence nuclear fusion barriers, revealing a linear relationship and suggesting an optimal correction strength of 1/36 based on extensive reaction analysis.

Contribution

It introduces a systematic investigation of surface correction effects on fusion barriers within the Skyrme formalism, identifying an optimal correction coefficient.

Findings

Linear relationship between fusion barrier heights and surface correction strength

Optimal surface correction coefficient identified as 1/36

Analysis conducted on approximately 180 nuclear reactions

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.