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

Abstract

Strong decays allowed by the Okubo–Zweig–Iizuka rule play a decisive role in determining the properties of particles. The widely used

model is non-relativistic and contains unknown adjustable parameter

$$\gamma $$ γ

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

$$^{3}P_{0}$$ 3 P 0

parameter

$$\gamma $$ γ

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

$$h_{c}(2P)$$ h c ( 2 P )

and allows a theoretical determination of the parameter

$$\gamma $$ γ

in the

$$^{3}P_{0}$$ 3 P 0

model within the present framework.