Role of pion-pion interaction in τ-decay

Abstract

The effect of the pion-pion interaction on the anisotropy of the decay pions in τ-decay and on the τ'/τ-branching ratio is studied here, following the formalism of a recent paper by Dalitz. The π-π interaction is assumed to be of the resonant Breit Wigner type in the isobaric spin states I = 0 and I = 2. It is found that the assumption. of an I = 2 resonance can satisfactorily explain the experimental figures for the momentum distribution of the unlike pion as well as the τ'/τ-branching ratio. This result serves as a supporting evidence for a recent deduction by the author of an I = 2 resonance within the framework of the pseudoscalar meson theory.