Systematic Study on QCD Interactions of Heavy Mesons with ρ Meson

The strong interactions of the negative-parity heavy mesons with ρ meson may be described consistently in the context of an effective lagrangian, which is invariant under isospin SU(2) transformation. Four coupling constants gHHρ, fH∗Hρ, gH∗H∗ρ and fH∗H∗ρ enter the effective lagrangian, where H (H ∗) 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 gH∗H∗ρ and fH∗H∗ρ, about which little was known before, and present an improved result for gHHρ and fH∗Hρ. Also, we examine the heavy quark asymptotic behavior of these nonperturbative quantities and assess the two low energy parameters β and λ of the corresponding effective chiral lagrangian. PACS numbers: 13.75.Lb, 12.38.Lg, 14.40.Nd, 14.40 Cs