Neutral nuclear core vs super charged one

TL;DR

This paper compares electron distributions around nuclear cores in neutral and supercharged states using the Thomas-Fermi model, highlighting differences in electron binding and vacuum polarization effects.

Contribution

It introduces a detailed analysis of electron behavior around extended nuclear cores in both neutral and supercharged conditions within the Thomas-Fermi framework.

Findings

Electrons are bound in neutral cores with equal proton and electron numbers.

Supercharged cores exhibit electron or positron binding due to vacuum polarization.

Distinct electron distribution patterns are identified for neutral versus supercharged cores.

Abstract

Based on the Thomas-Fermi approach, we describe and distinguish the electron distributions around extended nuclear cores: (i) in the case that cores are neutral for electrons bound by protons inside cores and proton and electron numbers are the same; (ii) in the case that super charged cores are bare, electrons (positrons) produced by vacuum polarization are bound by (fly into) cores (infinity).