Decayπ+→e+e+e−νand theγparameter

Abstract

A possible way to extract the value for the $\gamma$ parameter in the radiative pion decay is presented through the study of the decay process ${\pi }^{+}\to e^{+}{e}^{+}{e}^{-}\nu$. A particular kinematic configuration is suggested to select those events dominated by the structure-dependent contribution without having to perform the difficult measurement on particle polarizations, but retaining the favored picture from the study of a polarized electron in the radiative pion decay ${\pi }^{-}\to e^{-}\overline{\nu }\gamma$. A specific positron spectrum is given for this particular configuration to serve as a tentative way of determining an exact value for $\gamma$ between the existing two possible ones.