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

TL;DR

This paper employs a relativistic Bethe-Salpeter approach to accurately calculate strong decay widths and determine the $^{3}P_{0}$ model parameter, improving the understanding of particle decay properties.

Contribution

It introduces a relativistic calculation method based on the Bethe-Salpeter equation that eliminates the need for an adjustable parameter in the $^{3}P_{0}$ model.

Findings

Calculated total width of $h_{c}(2P)$

Determined the $^{3}P_{0}$ model parameter $oldsymbol{ extgamma}$

Provided a relativistic framework for decay analysis

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 without additional parameters similar to $\gamma$. Using this method, we present the total width of $h_{c}(2P)$ and theoretically determine the value of the parameter $\gamma$ in the $^{3}P_{0}$ model.