Meson Spectrum in Strong Magnetic Fields

TL;DR

This paper analyzes the behavior of meson spectra, specifically rho-mesons, in strong magnetic fields using a relativistic quark-antiquark model, showing that certain corrections prevent the meson mass from vanishing at high fields.

Contribution

It provides an analytical study of meson mass evolution in magnetic fields, including the effects of confinement, gluon exchange, and spin interactions, with comparison to lattice data.

Findings

Corrections remain finite at large magnetic fields.

Rho-meson mass does not vanish at high magnetic fields.

Results agree with recent lattice simulations.

Abstract

We study the relativistic quark-antiquark system embedded in magnetic field. The Hamiltonian containing confinement, one gluon exchange and spin-spin interaction is derived. We analytically follow the evolution of the lowest meson states as a functions of MF strength. Calculating the one gluon exchange interaction energy <V_OGE> and spin-spin contribution <a_SS> we have observed, that these corrections remain finite at large magnetic fields, preventing the vanishing of the total rho-meson mass at some B_crit, as previously thought. We display the rho masses as functions of magnetic field in comparison with recent lattice data.