Nonexistence of large nuclei in the liquid drop model

TL;DR

This paper presents a simplified proof and explicit quantitative bounds demonstrating that large nuclei do not exist within the liquid drop model, advancing the theoretical understanding of nuclear stability.

Contribution

It provides the first explicit, near-conjectured quantitative bound on the nonexistence of large nuclei in the liquid drop model.

Findings

Explicit bound within a factor of 2.3 of the conjecture

Simplified proof of nonexistence of large nuclei

First quantitative result of this kind

Abstract

We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result.