Two-photon decay of the pseudoscalar meson in the relativistic quark model

Author:

Haurysh V. Y.1ORCID,Andreev V. V.2ORCID

Affiliation:

1. Sukhoi State Technical University of Gomel

2. Francisk Skorina Gomel State University

Abstract

In the relativistic quark model, based on the point form of Poincaré-invariant quantum mechanics, an integral representation of the form-factor of the pseudoscalar P00,η,η′) meson of  P0 (qq̅)→γγ decay is obtained taking into account the anomalous magnetic moments of u-, d- and s-quarks. IIn the developed formalism the values of the constituent quark masses and the parameters of the wave functions are calculated using the lepton decay  P±(qQ̅ ) → ±ν± constant fP± and the pseudoscalar density constant g. It is shown that taking into account the gluonium component in η/η′-mesons and using the structure functions of light sector quarks lead to the behavior of the form factors of pseudoscalar π0-, η-, η′-mesons in the area of a small transferred momentum to the lepton pair, which is consistent with the modern experimental data

Publisher

Publishing House Belorusskaya Nauka

Subject

Computational Theory and Mathematics,General Physics and Astronomy,General Mathematics

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