Surface energy coefficient determination in global mass formula from fission barrier energy

TL;DR

This paper introduces a novel method to determine the surface energy coefficient in the semi-empirical mass formula using experimental fission barrier energies, significantly improving its accuracy.

Contribution

The study presents a new approach for calculating the surface energy coefficient based on fission barrier energies, not previously explored in literature.

Findings

Surface energy coefficient improved by a factor of 3.4

Method provides a more accurate coefficient estimation

Enhances the predictive power of the mass formula

Abstract

Semi-empirical mass formula of the atomic nucleus describe binding energies of the nuclei. In the simple form of this formula, there are five terms related to the properties of the nuclear structure. The coefficients in each terms can be determined by various approach such as fitting on experimental binding energy values. In this study, the surface energy coefficient in the formula which is a correction on total binding energy has been obtained by a method that is not previously described in the literature. The experimental fission barrier energies of nuclei have been used for this task. According to the results, surface energy coefficient in one of the most conventional formula has been improved by a factor 3.4.