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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2022, Volume 115, Issue 7, Pages 411–416
DOI: https://doi.org/10.31857/S1234567822070011
(Mi jetpl6636)
 

This article is cited in 4 scientific papers (total in 4 papers)

FIELDS, PARTICLES, AND NUCLEI

$\pi^0$-$\eta$ -$\eta'$ mixing in the theory with four-quark interactions

A. A. Osipov

Joint Institute for Nuclear Research, Dubna, Moscow region, 141980 Russia
References:
Abstract: Mass formulas, mixing angles, and decay constants of the pseudoscalar$\pi^0$, $\eta$ and $\eta'$ mesons have been obtained in the theory with four-quark interactions with an accuracy to $\mathcal O(1/N_c^2)$ terms inclusively. Unlike the standard Nambu–Jona-Lasinio model, the meson Lagrangian has been obtained using the Volterra series, which allows a more detailed description of effects caused by the inequality of quark masses. The results have been compared to similar calculations in the $1/N_c$ chiral perturbation theory. The first corrections to the interaction violating the Zweig formulas have been calculated, and it has been shown that they are important for the description of the mass spectrum of the $\eta$-$\eta'$ mesons.
Received: 27.02.2022
Revised: 27.02.2022
Accepted: 10.03.2022
English version:
Journal of Experimental and Theoretical Physics Letters, 2022, Volume 115, Issue 7, Pages 371–376
DOI: https://doi.org/10.1134/S0021364022100319
Document Type: Article
Language: Russian
Citation: A. A. Osipov, “$\pi^0$-$\eta$ -$\eta'$ mixing in the theory with four-quark interactions”, Pis'ma v Zh. Èksper. Teoret. Fiz., 115:7 (2022), 411–416; JETP Letters, 115:7 (2022), 371–376
Citation in format AMSBIB
\Bibitem{Osi22}
\by A.~A.~Osipov
\paper $\pi^0$-$\eta$ -$\eta'$ mixing in the theory with four-quark interactions
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2022
\vol 115
\issue 7
\pages 411--416
\mathnet{http://mi.mathnet.ru/jetpl6636}
\crossref{https://doi.org/10.31857/S1234567822070011}
\transl
\jour JETP Letters
\yr 2022
\vol 115
\issue 7
\pages 371--376
\crossref{https://doi.org/10.1134/S0021364022100319}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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    References:23
    First page:16
     
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