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arXiv · 2208.13903

Bethe-Salpeter kernel and properties of strange-quark mesons

Zhen-Ni Xu·Zhao-Qian Yao·Si-Xue Qin·Zhu-Fang Cui·Craig D. Roberts
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Abstract

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, $\Gamma_\nu$, and therewith deliver a Poincar\'e-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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Zhen-Ni Xu, Zhao-Qian Yao, Si-Xue Qin, Zhu-Fang Cui, Craig D. Roberts. 2022-08-29. Bethe-Salpeter kernel and properties of strange-quark mesons. https://doi.org/10.1140/epja%2Fs10050-023-00951-7

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