Mesons in ultra-intense magnetic field: an evaded collapse

TL;DR

This paper analyzes the spectra of mesons in ultra-intense magnetic fields using a relativistic Hamiltonian approach, revealing three distinct behaviors and aligning with recent lattice QCD results.

Contribution

It provides an analytical study of meson spectra under strong magnetic fields, extending understanding of meson behavior in extreme conditions.

Findings

Identified three characteristic spectral behaviors in strong magnetic fields.

Spectral results agree with recent lattice QCD calculations.

Analyzed all 12 spin-isospin s-wave meson states.

Abstract

Spectra of $q \bar q$ mesons are investigated in the framework of the Hamiltonian obtained from the relativistic path integral in external homogeneous magnetic field. The spectra of all 12 spin-isospin s-wave states generated by $\pi$- and $\rho$-mesons with different spin projections, are studied analytically as functions of the field strength. Three types of behavior with characteristic splittings are found. The results are in agreement with recent lattice calculations.