Energy spectrum of pions and polarization of muons and electrons in the Kμ3 and Ke3 decay

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In this paper two aspects of the Kμ3 and Ke3 decay are discussed: the energy density of final states and the longitudinal polarization of the muons and electrons. It is assumed that the fermion pair is produced through a Fermi interaction which can be of scalar, vector or tensor type. The two-component theory of the neutrino is used. The energy spectra and polarization depend in general on three complex parameters. However, if the theory is to be invariant under time reversal, the parameters must be real. With the values of the parameters determined from the energy spectrum one can predict the polarization. This provides a good check of the two-component theory.