ρ mesons in strong abelian magnetic field in SU(3) lattice gauge theory

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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 sz on the axis of external magnetic field. The masses of ρ⁰ meson with sz=± 1 increase with the field. The masses of ρ± mesons with zero spin also grow with the magnetic field. The ground state energies of ρ⁻ meson with sz=-1 and ρ⁺ meson with sz=+1 diminish as a function of the field, while the energies of ρ⁺ meson with sz=-1 and ρ⁻ meson with sz=+1 rise with the field value.