Strong coupling of excited heavy mesons

Abstract

We compute the strong coupling constant $G_{B^{\ast \ast }B\ddot{I}€}(G_{D^{\ast \ast }D\ddot{I}€})$, where $B^{\ast \ast }$ ($D^{\ast \ast }$) is the $0^{+}$ $P-$wave $b\bar{q}(c\bar{q})$ state, by QCD sum rules and by light-cone sum rules. The two methods give compatible results in the limit $m_Q\to \infty$, with a rather large value of the coupling constant. We apply the results to the calculation of the hadronic widths of the positive parity $B$ and $D$ states and to the chiral loop contribution to the ratio $f_{D_s}/f_D$.

31 pages, RevTeX, 4 figures appended as uuencoded file