Speaker
Description
This work is devoted to the study of the meson properties in the frame of the quark model with separable interaction kernel. We start from the Bethe-Salpeter equation chosing the interaction kernel as $D(q-p) = D_0 \varphi(q^2) \varphi (p^2)$ and define the meson vertex function in Gaussian form $\varphi(q^2)= e^{-q^2/\Lambda_H^2}$. The parameter $\Lambda_H$ characterizes the finite size of the meson. To describe the meson properties we fix the model parameters using the meson electromagnetic, leptonic decay constants.
As an application of the model, the $\gamma^* P \longrightarrow \gamma$ transition formfactors and $V \rightarrow P \gamma$ radiative decays are considered, where $P$ denotes pseudoscalar mesons like $\pi$, $\eta_c$ and $\eta_b$ and $V$ denoted vector mesons like $\rho, J/\psi, \Upsilon$. Comparisons of our results with other calculations are performed. Also the hadronic interactions of charm and bottom mesons were considered as a base of further study $J/\psi$ and $\Upsilon$ production and absorption in hot and dense hadronic matter.
