Nonrelativistic Scattering Analysis of Charged Particle by a Magnetic Monopole in the Global Monopole Background

TL;DR

This paper investigates the quantum scattering of a charged particle by a magnetic monopole within a global monopole background, considering magnetic, geometric, and electrostatic effects, revealing bound states with hydrogen-like spectra.

Contribution

It introduces a comprehensive analysis of nonrelativistic scattering including electrostatic self-interaction effects in a global monopole background, highlighting bound state formation.

Findings

Electrostatic self-interaction influences scattering behavior.

Bound states with hydrogen-like spectra can form under attractive self-interaction.

The combined effects of magnetic, geometric, and electrostatic interactions are characterized.

Abstract

We analyze the nonrelativistic quantum scattering problem of a charged particle by an Abelian magnetic monopole in the background of a global monopole. In addition to the magnetic and geometric effects, we consider the influence of the electrostatic self-interaction on the charged particle. Moreover, for the specific case where the electrostatic self-interaction becomes attractive, charged particle-monopole bound system can be formed and the respective energy spectrum is hydrogen-like one.