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arXiv · 2512.12531

Relativistic Bethe-Salpeter study of OZI-rule allowed strong decays: determination of total width of $h_{c}(2P)$ and $^{3}P_{0}$ model parameter

Yi-Yi Rui·Tianhong Wang·Zhi-Hui Wang·Tai-Fu Feng·Guo-Li Wang
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Abstract

Strong decays allowed by the Okubo-Zweig-Iizuka rule play a decisive role in determining the properties of particles. The widely used $^{3}P_{0}$ model is non-relativistic and contains unknown adjustable parameter $\gamma$ that need to be determined experimentally. Based on the Bethe-Salpeter equation, we have derived a relativistic calculation formula in which the effective strength related to the $^{3}P_{0}$ parameter $\gamma$ is not introduced as an independent fitting parameter, but is consistently determined by the interaction kernel of the Bethe-Salpeter equation. Using this method, we present the total width of $h_{c}(2P)$ and allows a theoretical determination of the parameter $\gamma$ in the $^{3}P_{0}$ model within the present framework.

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Yi-Yi Rui, Tianhong Wang, Zhi-Hui Wang, Tai-Fu Feng, Guo-Li Wang. 2025-12-14. Relativistic Bethe-Salpeter study of OZI-rule allowed strong decays: determination of total width of $h_{c}(2P)$ and $^{3}P_{0}$ model parameter. https://arxiv.org/abs/2512.12531

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