Bethe–Salpeter kernel and properties of strange-quark mesons
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
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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