The dependence of the atomic energy levels on a superstrong magnetic field with account of a finite nucleus radius and mass

TL;DR

This paper investigates how finite proton size and mass affect hydrogen atom energy levels in superstrong magnetic fields, revealing a complex relationship between nuclear properties and magnetic field strength.

Contribution

It introduces a detailed analysis of finite nuclear size effects on atomic energy levels under extreme magnetic conditions, expanding understanding beyond point-like nucleus models.

Findings

Finite proton size raises the ground energy level.

Critical nucleus charge depends nontrivially on magnetic field strength.

Finite mass and size alter atomic energy spectra in superstrong fields.

Abstract

The influence of the finiteness of the proton radius and mass on the energies of a hydrogen atom and hydrogen-like ions in a superstrong magnetic field is studied. The finiteness of the nucleus size pushes the ground energy level up leading to a nontrivial dependence of the value of critical nucleus charge on the external magnetic field.