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

Author:

Coppola MaximoORCID,Dumm Daniel GomezORCID,Noguera Santiago,Scoccola Norberto N.

Abstract

Abstract We study the effect of a uniform magnetic field $$ \overrightarrow{B} $$ B on the decays $$ {\pi}^{-}\to {l}^{-}{\overline{\nu}}_l $$ π l ν ¯ l , where l = e, μ, carrying out a general analysis that includes four π 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 10 for eB = 0.1 GeV2 up to 103 for eB = 1 GeV2. The ratio between electronic and muonic decays gets also enhanced, reaching a value of about 1 : 2 for eB = 1 GeV2. 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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

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