%0 Journal Article %T $¦Ñ$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory %A E. V. Luschevskaya %A O. A. Kochetkov %A O. V. Larina %A O. V. Teryaev %J Physics %D 2014 %I arXiv %R 10.1016/j.nuclphysb.2014.04.003 %X We explore the masses of neutral and charged $\rho$ 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 $\rho^0$ meson with $s_z=\pm 1$ increase with the field. The masses of $\rho^{\pm}$ mesons with zero spin also grow with the magnetic field. The ground state energies of $\rho^{-}$ meson with $s_z=-1$ and $\rho^{+}$ meson with $s_z=+1$ diminish as a function of the field, while the energies of $\rho^{+}$ meson with $s_z=-1$ and $\rho^{-}$ meson with $s_z=+1$ rise with the field value. %U http://arxiv.org/abs/1411.0730v1