Heavy quarkonia in strong magnetic fields

TL;DR

This paper studies how strong magnetic fields affect heavy quarkonium states using a potential model that incorporates anisotropic effects observed in lattice QCD, providing insights into their spectral modifications.

Contribution

It introduces a potential model accounting for anisotropic static quark-antiquark interactions under magnetic fields, enhancing understanding of quarkonium behavior in such environments.

Findings

Magnetic fields induce anisotropies in quarkonium spectra.

Anisotropic potential models show different spectral shifts compared to isotropic models.

Results help interpret quarkonium suppression in heavy-ion collisions.

Abstract

We investigate the influence of a homogeneus and constant strong external magnetic field on the heavy-meson spectrum. Quarkonium states $c\bar{c}$ and $b\bar{b}$ are described within a non-relativistic framework and by means of a suitable potential model based on the Cornell parametrization. In particular, in this work we propose a model which takes into account the possible anisotropies emerging at the level of the static quark-antiquark potential, as observed in recent lattice studies. The investigation is perfomed both with and without taking into account the anisotropy of the static potential, in order to better clarify its effects