A new phenomenological formula for ground state binding energies

TL;DR

This paper introduces a new phenomenological formula for calculating ground state binding energies of nuclei, incorporating effects like single particle level bunching and neutron-proton interactions, achieving high accuracy across many nuclei.

Contribution

It presents a novel formula based on the liquid drop model that includes additional effects, with 50 parameters, improving the accuracy of binding energy predictions.

Findings

RMS deviation for binding energies is 0.376 MeV for 2140 nuclei.

RMS deviation for alpha decay energies is 0.284 MeV.

The model shows good correspondence with the conventional liquid drop model.

Abstract

A phenomenological formula based on liquid drop model has been proposed for ground state binding energies of nuclei. The effect due to bunching of single particle levels has been incorporated through a term resembling the one-body Hamiltonian. The effect of n-p interaction has been included through a function of valence nucleons. A total of 50 parameters has been used in the present calculation. The r.m.s. deviation for the binding energy values for 2140 nuclei comes out to be 0.376 MeV, and that for 1091 alpha decay energies is 0.284 MeV. The correspondence with the conventional liquid drop model is discussed.