Improved Numerical Generalization of Bethe- Weizsacker Mass Formula

TL;DR

This paper presents an improved numerical generalization of the Bethe-Weizsacker mass formula that accurately predicts nuclear masses with less than 2.2 MeV error, considering magic number influences for protons and neutrons.

Contribution

The paper introduces a refined Bethe-Weizsacker formula incorporating magic number effects, enhancing mass prediction accuracy across a wide range of nuclei.

Findings

Achieved less than 2.2 MeV accuracy in nuclear mass predictions.

Defined influence boundaries of magic numbers on nuclear mass.

Extended the formula to include nine proton and ten neutron magic numbers.

Abstract

In this paper is presented explicit improved numerical generalization of Bethe-Weizsacker mass formulae which describes the values of measured 2654 nuclear mass in AME2012 nuclear database with accuracy less than 2.2 MeV, starting from the number of protons Z=1 and number of neutrons N=1. In the obtained generazation of the Bethe-Weizsacker formula the influence of magic numbers and boundaries of their influence between them is defined for nine proton (2, 8, 14, 20, 28, 50, 82, 108, 124) and ten neutron (2, 8, 14, 20, 28, 50, 82, 124, 152, 202) magic numbers.