vestifmИзвестия Национальной академии наук Беларуси. Серия физико-математических наукProceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series1561-24302524-2415The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-2430-2023-59-4-315-327vestifm-746Research ArticleФИЗИКАPHYSICSДвухфотонный распад псевдоскалярного мезона в релятивистской кварковой моделиTwo-photon decay of the pseudoscalar meson in the relativistic quark modelhttps://orcid.org/0000-0003-0030-4971ГавришВ. Ю.HauryshV. Y.

Гавриш Вадим Юрьевич – кандидат физико-математических наук 

пр. Октября, 48, 246746, Гомель

Vadzim Y. Haurysh – Ph. D. (Physics and Mathematics

48, Oktyabrya Ave., 246746, Gomel, Republic of Belarus

mez0n@inbox.ruhttps://orcid.org/0000-0003-3314-7175АндреевВ. В.AndreevV. V.

Андреев Виктор Васильевич – доктор физико-математических наук, профессор

ул. Советская, 98, 246028, Гомель

Viktor V. Andreev – Dr. Sc. (Physics and Mathematics), Professor

98, Sovetskaya Str., 246028, Gomel, Republic of Belarus

Гомельский Государственный технический университет имени П. О. СухогоSukhoi State Technical University of GomelГомельский государственный университет имени Ф. СкориныFrancisk Skorina Gomel State University202305012024594315327Copyright © Гавриш В.Ю., Андреев В.В., 20242024Гавриш В.Ю., Андреев В.В.Haurysh V.Y., Andreev V.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestifm.belnauka.by/jour/article/view/746

В релятивистской кварковой модели, основанной на точечной форме пуанкаре-инвариантной квантовой механики, получено интегральное представление форм-фактора псевдоскалярного P0(π0,η,η′)-мезона распада P0 (qq̅)→γγ с учетом аномальных магнитных моментов u-, d- и s-кварков. В развитом формализме вычислены значения конституентных масс кварков и параметров волновых функций с использованием константы fP±  лептонного распада P±(qQ̅ ) → ℓ±νℓ±  и константы псевдоскалярной плотности gP±.  Показано, что учет глюонной компоненты в η/η′-мезонах и использование структурных функций кварков легкого сектора приводит к согласующемуся с современными экспериментальными данными поведению форм-факторов псевдоскалярных π0-, η- и η′-мезонов в области малых переданных лептонной паре импульсов.

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

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The authors declare that there are no conflicts of interest present.