We calculate the strong decay couplings for $\rho \to \pi \pi$, $\varphi \to KK$, $K^{*}\to K\pi$, and $D^{*}\to D\pi$ in a unified and consistent approach based on the impulse approximation, nonperturbative solutions of the quark-gap equation and the Poincaré invariant Bethe-Salpeter amplitudes of vector and pseudoscalar mesons. In particular, we obtain the coupling $g_{D^{*}D\pi }=17.24_{-2.30}^{+3.06}$ in very good agreement with the experimental value by CLEO, which corresponds to a strong effective coupling between heavy vector and pseudoscalar mesons to the pion of $\widehat{g}=0.58_{-0.08}^{+0.10}$.

• Received 28 November 2022
• Accepted 20 January 2023

DOI:https://doi.org/10.1103/PhysRevD.107.034021

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Published by the American Physical Society