"Old" resonance model for 3π decays of K and η

Mitra, A. N. ; Ray, Shubha (1964) "Old" resonance model for 3π decays of K and η Physical Review, 135 (1B). B146-B151. ISSN 0031-899X

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Official URL: http://link.aps.org/doi/10.1103/PhysRev.135.B146

Related URL: http://dx.doi.org/10.1103/PhysRev.135.B146


In view of the current experimental interest in the three-pion modes of K and η decays, a phenomenological model of a π-π resonance in I = 0, proposed several years ago by one of us, is re-examined in the context of the present experimental data. It is found that the model satisfactorily explains all the available features of τ and τ' decays if the resonance occurs at an energy around 400 MeV with a width 85-90 MeV. The corresponding parameters with a somewhat smaller width (˜75-80 MeV) also give satisfactory agreement with the experimental results for η decay. This model corresponds to a repulsive I = 0 π-π interaction at low energies and is therefore not in disagreement with the earlier dispersion theoretical predictions for τ decay, using final-state interactions. It also has a strong resemblance to the s model of Brown and Singer.

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