Abstract
We calculate the correlators of vector and axial currents in external strong abelian magnetic field in SU(3) gluodynamics. From the correlators the masses (ground state energies) of neutral ρ and a 1 and charged ρ mesons have been calculated depending on its spin projection on the axis of external magnetic field. The energies of neutral vector mesons with zero spin decrease, while the energies of neutral vector and axial mesons with nonzero spin increase as a function of the field value. Also we show the splitting of the ground state energy for the charged ρ ± mesons in external magnetic field.
Highlights
We investigate the dependence of ground energy states of light mesons depending on the magnetic field of hadronic scale
This study is of interest because it can give an indication of the phase structure of QCD in a strong magnetic field
The strong magnetic fields of ∼ 2 GeV may be associated with the formation of the Early Universe [2]
Summary
We investigate the dependence of ground energy states of light mesons depending on the magnetic field of hadronic scale. In this work we explore the splitting of ground state energy of neutral ρ0 and charged vector mesons ρ± and neutral axial meson a01 depending on its spin projection on the axis of the external abelian magnetic field. This exploration is important because such splitting can lead to the asymmetry of emitted neutral and charged particles above and under reaction plane and contribute to the chiral magnetic effect. The magnetic moments of mesons have been explored in [30]
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