$ρ$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory
We explore the masses of neutral and charged $ρ$ mesons in strong abelian magnetic field in $SU(3)$ gluodynamics. The behaviour of the ground state energy of these particles in the external magnetic field depends on its spin projection $s_z$ on the axis of external magnetic field. The masses of $ρ^0$ meson with $s_z=\pm 1$ increase with the field. The masses of $ρ^{\pm}$ mesons with zero spin also grow with the magnetic field. The ground state energies of $ρ^{-}$ meson with $s_z=-1$ and $ρ^{+}$ meson with $s_z=+1$ diminish as a function of the field, while the energies of $ρ^{+}$ meson with $s_z=-1$ and $ρ^{-}$ meson with $s_z=+1$ rise with the field value.
hep-lat↗