Pion decay constants in a strong magnetic field


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Abstract

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 \(\sqrt {\frac{{{e_q}B}}{\sigma }} \) dependence is found in strong fields eqB ≫ σ for the neutral pion, while the charged pion constant decreases as \(\sqrt {\frac{\sigma }{{{e_q}B}}} \).

About the authors

Yu. A. Simonov

Institute for Theoretical and Experimental Physics NRC “Kurchatov Institute”

Author for correspondence.
Email: simonov@itep.ru
Russian Federation, Moscow

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