Meson Spectrum in Strong Magnetic Fields

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.

Comments: 9 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1210.0227