Ground State H-Atom in Born-Infeld Theory

TL;DR

This paper investigates the hydrogen atom within Born-Infeld nonlinear electrodynamics, approximating the pair potential with a Morse potential to accurately compute the ground state energy and BI parameter.

Contribution

It introduces a Morse potential approximation for the Born-Infeld pair potential, enabling precise determination of the hydrogen atom's ground state energy and BI parameter.

Findings

Morse potential fits the BI pair potential well in critical regions

Ground state energy of hydrogen is computed within BI theory

BI parameter is estimated from the potential approximation

Abstract

Within the context of Born-Infeld (BI) nonlinear electrodynamics (NED) we revisit the non-relativistic, spinless H-atom. The pair potential computed from the Born-Infeld equations is approximated by the Morse type potential with remarkable fit over the critical region where the convergence of both the short and long distance expansions slows down dramatically. The Morse potential is employed to determine both the ground state energy of the electron and the BI parameter.