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arXiv · 1411.0730

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

E. V. Luschevskaya·O. A. Kochetkov·O. V. Larina·O. V. Teryaev
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Abstract

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.

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E. V. Luschevskaya, O. A. Kochetkov, O. V. Larina, O. V. Teryaev. 2014-11-03. $ρ$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory. https://doi.org/10.1016/j.nuclphysb.2014.04.003

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