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Prog. Theor. Phys. Vol. 48 No. 3 (1972) pp. 927-938

Generalized “Similarity” Relation and Trilinear Matrix Elements

Mituaki Katuya

Department of Physics, Hokkaido University, Sapporo

(Received February 4, 1972)

Abstract:

A scheme is proposed in which the matrix elements for pseudoscalar meson production in neutrino-nucleon collisions and for B₈ →B₈ + P₈ + e^- +\tildeν_e decays can be described. This scheme is based on a generalized “similarity” assumption. In this scheme we can obtain some sum rules for pseudoscalar meson production in neutrino-nucleon collisions and for spontaneous decays, B₈ →B₈ + P₈ + e^- + \tildeν_e. Some of our results are different from those obtained from a theory proposed by Ogawa. From the viewpoint of the universality of weak interactions, we predict Γ(Σ⁺ →pπ⁺e^-\tildeν_e ≈(1/3)Γ(Σ^- →pπ^-e^-\tildeν_e ≈0.5 ×10^-17 MeV, as a possible experimental test of our theory.

URL : http://ptp.ipap.jp/link?PTP/48/927/
DOI : 10.1143/PTP.48.927

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References:

1. M. Nakagawa, a report given at the meeting on Weak Interactions of Elementary Particles (Kyoto, 1970).
   See M. Nakagawa, Soryushiron Kenkyu (mimeographed circular in Japanese) 40 (1970), F30.
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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 1216-1217 :

   Forward Behaviour of One-PS-Meson Production Cross Section in Neutrino-Nucleon Collisions

   Seiji Ōkubo and Mituaki Katuya

2. Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 253-258 :

   Suppression of Forward π⁰ and η⁰ Productions in Weak-Neutral-Current Processes

   Mituaki Katuya

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