An effective field theory approach to monopolium
Instituto de Física, Universidade Federal da Bahia, Campus Universitário de Ondina, 40170-115, Salvador, Bahia, Brazil
2 Faculté Saint-Jean, University of Alberta, T6C 4G9, Edmonton, Alberta, Canada
3 Department of Physics, University of Regina, S4S 0A2, Regina, Saskatchewan, Canada
Accepted: 19 June 2020
Published online: 4 July 2020
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020