Improvement in a phenomenological formula for ground state binding energies

TL;DR

This paper presents an improved phenomenological formula for calculating ground state binding energies, incorporating new terms and parameters to enhance accuracy based on recent experimental data.

Contribution

The authors introduce a modified formula with a new pairing term and a neutron magic number at N=160, significantly reducing the deviation from experimental values.

Findings

Root mean square deviation reduced to 363 keV

Inclusion of a new neutron magic number at N=160

Enhanced accuracy over previous models

Abstract

The phenomenological formula for ground state binding energy derived earlier (International Journal of Modern Physics E {\bf 20} (2011) 179) has been modified. The parameters have been obtained by fitting the latest available tabulation of experimental values. The major modifications include a new term for pairing and introduction of a new neutron magic number at $N=160$. The new formula reduced the root mean square deviation to 363 keV, a substantial improvement over the previous version of the formula.