Iso-scalar liquid drop model

TL;DR

This paper introduces a new liquid drop model incorporating isospin-square dependence to accurately predict nuclear masses and fission barriers with minimal parameters, matching the performance of existing models.

Contribution

The novel model includes isospin-square dependence in volume and surface energy terms, providing improved nuclear mass and fission barrier predictions with only six parameters.

Findings

Accurately reproduces known nuclear masses for Z,N ≥ 20.

Fission barrier heights of actinides closely match experimental data.

Model performance is comparable to other contemporary models.

Abstract

New liquid drop model with the isospin-square dependence of the volume and surface energy terms is applied to reproduce experimentally known masses of nuclei with number of protons and neutrons larger or equal to twenty. The ground-state microscopic energy corrections are taken into account. In spite of the fact that the model contains only six adjustable parameters, the quality of mass reproduction is good, and it is comparable with other contemporary mass models. Also, the fission barrier heights of actinide nuclei evaluated using the topographical theorem of Myers and Swiatecki are close to the data.