Modified Integrated Nuclear Model for the Binding Energy of Finite Nuclei

A modified integrated nuclear model (MINM) for calculating the binding energies of finite nuclei is proposed. The model is an improvement of the integrated nuclear model (INM) that was formulated based on the theory of quantum chromodynamics. MINM is a simple model that depends on the proton and neutron numbers, and a variable stability coefficient factor denoted by λ. The variable λ rectifies the inequality in the neutron to proton ratio that results from the increase in the size of the nucleus. The results of the binding fraction obtained from MINM were compared with the existing experimental data obtained from atomic mass evaluation tables, AME2016. It was found that, the root mean square deviation for the binding fractions obtained from MINM is 0.2267 MeV with respect to the experimental data, while the root mean square deviation for the binding fraction obtained from INM is 1.5801 MeV. The root mean square deviation for MINM is very small. This supports the validity of the MINM and the consequent accuracy in the values of the binding fraction for different nuclei, especially in the region whereby A>220.