Magnetic field driven enhancement of the weak decay width of charged pions

Abstract

We study the effect of a uniform magnetic field $\vec{B}$ on the decays ${\pi }^{-}\to l^{-}{\bar{\nu }}_l$, where $l^{-}=e^{-},{\mu }^{-}$, carrying out a general analysis that includes four ${\pi }^{-}$ decay constants. Taking the values of these constants from a chiral effective Nambu-Jona--Lasinio (NJL) model, it is seen that the total decay rate gets strongly increased with respect to the $B=0$ case, with an enhancement factor ranging from $\sim 10$ for $eB=0.1{\mathrm{GeV}}^2$ up to $\sim 10^3$ for $eB=1{\mathrm{GeV}}^2$. The ratio between electronic and muonic decays gets also enhanced, reaching a value of about $1:2$ for $eB=1{\mathrm{GeV}}^2$. In addition, we find that for large $B$ the angular distribution of outgoing antineutrinos shows a significant suppression in the direction of the magnetic field.

arXiv comment23 pages, 2 figures

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Cited by in corpus (7)

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• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field