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Radiative weak decay of baryons within the Bethe-Salpeter formalism

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Abstract

The Nishijima-Mandelstam formula for the transition amplitude of radiative weak decay of baryons is derived within the Bethe-Salpeter formalism in a manner parallel to the Lehmann-Synanzik-Zimmermann reduction procedure. Feynaman rules for bound quarks are discussed. Employing a Gaussian Bethe-Salpeter amplitude for baryons used by other authors, the transition amplitude for ∑+ →pγ has been calculated. Due to the use of a phenomenological Bethe-Salpeter wave function, the resulting amplitude turns out to be non-gauge invariant. Gauge invariance is imposed by hand and the asymmetry parameter calculated. Normalization of the decay amplitude and calculation of the absolute rate is not attempted. Two serious problems remain in this calculation: First, the lack of gauge invariance, and, second, the calculated amplitudes turn out to be complex.

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  1. P. Asthana

    Present address: Ministry of Science and Technology, Dept. of Science and Technology, Technology Bhavan, New Mehrauli Road, 100 016, New Delhi, India

Authors and Affiliations

  1. Theoretical Physics Institute and Department of Physics, University of Alberta, T6G 2J1, Edmonton, Alberta, Canada

    P. Asthana & A. N. Kamal

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  1. P. Asthana
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  2. A. N. Kamal
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Asthana, P., Kamal, A.N. Radiative weak decay of baryons within the Bethe-Salpeter formalism. Few-Body Systems 11, 1–24 (1991). https://doi.org/10.1007/BF01075710

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