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Research PapersNo Access

Determining some pseudoscalar meson masses from axial anomaly

Chang-Yong Liu

https://orcid.org/0000-0003-4021-4145

College of Science, Northwest A&F University, Yangling, Shaanxi 712100, China

E-mail Address: liuchangyong@nwsuaf.edu.cn

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https://doi.org/10.1142/S0217732322501371Cited by:0 (Source: Crossref)

Abstract

Following our previous work [C. Y. Liu, Mod. Phys. Lett. A 36, 2150080 (2021), doi:10.1142/S0217732321500802], we investigate the masses of some pseudoscalar mesons which have the anomalous decays from axial anomaly (the Adler–Bell–Jackiw anomaly). We apply a non-perturbative mass formula to study the neutral single flavor pseudoscalar meson $(f \bar{f})$ . We find the mass of pseudoscalar meson $(c \bar{c}) (m_{(c \bar{c})} \approx 7.6 GeV)$ which can solve the problem of double $c \bar{c}$ production in $e^{+} e^{-}$ annihilation at $\sqrt{s} \approx 10.6 GeV$ and obtain the mass of pseudoscalar meson $(b \bar{b}) (m_{(b \bar{b})} \approx 28.4 GeV)$ which is the same as the invariant mass of $μ^{+} μ^{-}$ pairs produced in association with $b$ jet in $p p$ -collisions at the LHC. We generalize this formula to three flavors pseudoscalar mesons, we obtain the mass of $η^{'}$ meson $(m_{η^{'}} \approx 961 MeV)$ which is almost the same as the experimental value $(m_{η^{'}}^{exp} \approx 958 MeV)$ .

Keywords:

PACS: 11.30.Rd, 12.15.Ff, 13.66.Bc

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Journal cover image

Vol. 37, No. 21

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History

Received 9 May 2021

Revised 6 July 2022

Accepted 11 July 2022

Published: 2 September 2022

Keywords