Pion decay constants in a strong magnetic field

Decay constants of the charged and neutral pions in magnetic field are considered in the framework of the effective quark-antiquark lagrangian respecting Gell-Mann--Oakes--Renner (GOR) relations at zero field. The $\sqrt{\frac{e_qB}σ}$ dependence is found in strong fields $e_qB\gg σ$ for the neutral pion, while the charged pion constant decreases as $\sqrt{\fracσ{e_qB}}$.

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