https://doi.org/10.1140/epja/s10050-023-00951-7
Letter
Bethe–Salpeter kernel and properties of strange-quark mesons
1
School of Physics, Nanjing University, 210093, Nanjing, Jiangsu, China
2
Institute for Nonperturbative Physics, Nanjing University, 210093, Nanjing, Jiangsu, China
3
European Centre for Theoretical Studies in Nuclear Physics and Related Areas, Villa Tambosi, Strada delle Tabarelle 286, 38123, Villazzano, TN, Italy
4
Department of Physics, Chongqing University, 401331, Chongqing, China
Received:
31
December
2022
Accepted:
8
February
2023
Published online:
4
March
2023
Focusing on the continuum meson bound-state problem, a novel method is used to calculate closed-form Bethe–Salpeter kernels that are symmetry consistent with any reasonable gluon-quark vertex, 
, and therewith deliver a Poincaré-invariant treatment of the spectrum and decay constants of the ground- and first-excited states of u, d, s mesons. The predictions include masses of as-yet unseen states and many unmeasured decay constants. The analysis reveals that a realistic, unified description of meson properties (including level orderings and mass splittings) requires a sound expression of emergent hadron mass in bound-state kernels; alternatively, that such properties may reveal much about the emergence of mass in the standard model.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
