Magnetic polarizabilities of light mesons in $SU(3)$ lattice gauge theory

Understand

We investigate the masses (ground state energies) of neutral pseudoscalar and vector meson in $SU(3)$ lattice gauge theory in strong abelian magnetic field.

• The energy of $\rho^0$ meson with zero spin projection $s_z=0$ on the axis of the external magnetic field decreases, while the energies with non-zero spins $s_z=-1$ and $+1$ increase with the field.
• The energy of $\pi^0$ meson decrease as a function of the magnetic field.
• We calculated the magnetic polarizabilities of pseudoscalar and vector mesons for lattice volume $18^4$.