Heavy Meson Dynamics in a QCD Relativistic Potential Model

Abstract

We use a QCD relativistic potential model to compute the strong coupling constant $g$ appearing in the effective Lagrangian which describes the interaction of $0^{-}$ and $1^{-}$ $\bar{q}Q$ states with soft pions in the limit $m_Q\to \infty$. We compare our results with other approaches; in particular, in the non relativistic limit, we are able to reproduce the constituent quark model result: $g=1$, while the inclusion of relativistic effects due to the light quark gives $g=\frac{1}{3}$, in agreement with QCD sum rules. We also estimate heavy meson radiative decay rates, with results in agreement with available experimental data.

LaTex, 3 pages, BARI-TH/94-185. Talk given at the workshop: "Quark confinement and the hadron spectrum", Como, 20-24 june 1994