Quark-Antiquark System in Ultra-Intense Magnetic Field

2012/09/30 by Yu. A. Simonov, Simonov, Yu. A., B. O. Kerbikov +3 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.1210.0227

16 pages, 1 figure

arxiv created 2012/10/05 · arxiv updated 2012/10/08

Abstract

We study the relativistic quark-antiquark system embedded in magnetic field (MF). The Hamiltonian containing confinement, color Coulomb and spin-spin interaction is derived. We analytically follow the evolution of the lowest neutral meson state as a function of MF strength. Calculating the color Coulomb energy V_Coul we have observed the unbounded negative (at least in the limit of large N_c) contribution at large MF which makes the mass negative for eB> eB^QCD_crit. We display the π⁰ and ρ⁰ masses as functions of MF in comparison with recent lattice data.

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