An effective field theory approach to monopolium

TL;DR

This paper develops an effective field theory to study monopole-antimonopole bound states, called monopolium, analyzing their properties, formation conditions, and potential detectability within a theoretical framework.

Contribution

It introduces a novel effective field theory approach to monopole interactions, focusing on bound state formation and parameter constraints.

Findings

Bound states with small binding energies identified.

Masses, binding energies, and scattering lengths estimated.

Feasibility of detecting monopolium discussed.

Abstract

In this work we investigate the interaction between spin-zero and spin-one monopoles by making use of an effective field theory based on two-body and four-body interaction parts. In particular, we analyze the formation of bound state of monopole-antimonopole (i.e. monopolium). The magnetic-charge conjugation symmetry is studied in analogy to the usual charge conjugation to define a particle basis, for which we find bound-state solutions with relatively small binding energies and which allows us to identify the bounds on the parameters in the effective Lagrangians. Estimations of their masses, binding energies and scattering lengths are performed as functions of monopole masses and interaction strength in a specific renormalization scheme. We also examine the general validity of the approach and the feasibility of detecting the monopolium.