Liquid-Drop and Independent-Particle Models Revisited

TL;DR

This paper revisits nuclear models to show that the liquid-drop and independent-particle descriptions are fundamentally coexistent, providing a unified understanding of nuclear structure.

Contribution

It demonstrates that the liquid-drop and independent-particle phases of the nucleus are equally fundamental and coexist, challenging the traditional view of their distinct roles.

Findings

Liquid-drop and independent-particle models are fundamentally coexistent.

The difference in binding energy indicates simultaneous phases.

Both models are essential for a complete nuclear description.

Abstract

Traditionally, the difference in binding energy from the experimental value with respect to the theoretical liquid-drop model value, has been seen as indication of independent-particle character along with magicity for particular number of protons and neutrons. We study this carefully to demonstrate that it actually indicates that the liquid-drop and the independent-particle phases of the nucleus have equal fundamental primacy and coexist simultaneously in a nucleus to provide a complete and a consistent description of the same.