Production of bound states of magnetic monopoles in high energy collisions at LHC

In this work, we present the conducted studies for the production of the monopolium at the LHC in ultraperipheral collisions, using beams of proton–proton (pp) and lead–lead (PbPb) nuclei. The monopolium is the bound state of a monopole–antimonopole pair. The study of the magnetic monopole in this characteristic state is justified due to the very strong coupling constant, which allows us to suggest that this exotic particle can be produced in the bound state. In this approach, the monopolium is described by a wave function, and its solution comes from the numerical method applied to the Schrödinger equation with a modified Cornell potential. The monopolium is produced by a photon fusion production mechanism, with the Weizsäcker–Williams and Drees–Zeppenfeld expressions to describe the lead and proton equivalent photon distributions. We estimate a high-production rate of monopolium for pp collisions with Formula: see textFormula: see textTeV and PbPb collisions with Formula: see textFormula: see textTeV at the LHC.