Systematic Study on QCD Interactions of Heavy Mesons with $\rho$ Meson

Abstract

The strong interactions of the negative-parity heavy mesons with $\rho$ meson may be described consistently in the context of an effective lagrangian, which is invariant under isospin SU(2) transformation. Four coupling constants $g_{HH\rho }$, $f_{H^{\ast }H\rho }$, $g_{H^{\ast }{H}^{\ast }\rho }$ and $f_{H^{\ast }{H}^{\ast }\rho }$ enter the effective lagrangian, where $H$ $(H^{\ast })$ denotes a pseudoscalar bottom or charm meson (the corresponding vector meson). Using QCD light cone sum rule (LCSR) method and, as inputs, the hadronic parameters updated recently, we give an estimate of $g_{H^{\ast }{H}^{\ast }\rho }$ and $f_{H^{\ast }{H}^{\ast }\rho }$, about which little was known before, and present an improved result for $g_{HH\rho }$ and $f_{H^{\ast }H\rho }$. Also, we examine the heavy quark asymptotic behavior of these nonperturbative quantities and assess the two low energy parameters $\beta$ and $\lambda$ of the corresponding effective chiral lagrangian.

16 pages, 1 eps figure, version to appear in PLB