Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsaecker model

TL;DR

This paper investigates the stability conditions of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsaecker model by analyzing the zero mass limit and establishing bounds for critical nuclear charges.

Contribution

It provides new bounds for nuclear charges that guarantee stability in the ultrarelativistic limit of the model, extending previous non-relativistic analyses.

Findings

Derived bounds for critical nuclear charges ensuring stability.

Analyzed the zero mass limit in the relativistic model.

Extended stability analysis to ultrarelativistic regime.

Abstract

We consider the zero mass limit of a relativistic Thomas-Fermi-Weizsaecker model of atoms and molecules. We find bounds for the critical nuclear charges that ensure stability.