Two-photon decay of the pseudoscalar meson in the relativistic quark model
https://doi.org/10.29235/1561-2430-2023-59-4-315-327
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 P0(π0,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 ) → ℓ±νℓ± constant fP± and the pseudoscalar density constant gP±. 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
About the Authors
V. Y. Haurysh
Sukhoi State Technical University of Gomel
Belarus
Belarus
Vadzim Y. Haurysh – Ph. D. (Physics and Mathematics
48, Oktyabrya Ave., 246746, Gomel, Republic of Belarus
V. V. Andreev
Francisk Skorina Gomel State University
Belarus
Belarus
Viktor V. Andreev – Dr. Sc. (Physics and Mathematics), Professor
98, Sovetskaya Str., 246028, Gomel, Republic of Belarus
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