Systematic Study on QCD Interactions of Heavy Mesons with $ρ$ Meson

Li, Zuo-Hong; Liu, Wei; Liu, Hai-Yan

Systematic Study on QCD Interactions of Heavy Mesons with $ρ$ Meson

Authors

Li, Zuo-Hong

Liu, Wei

Liu, Hai-Yan

Description

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 $g_{HHρ}$, $f_{H^*Hρ}$, $g_{H^*H^*ρ}$ and $f_{H^*H^*ρ}$ 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 $g_{H^*H^*ρ}$ and $f_{H^*H^*ρ}$, about which little was known before, and present an improved result for $g_{HHρ}$ and $f_{H^*Hρ}$. 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.
16 pages, 1 eps figure, version to appear in PLB