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

TL;DR

This paper uses QCD light cone sum rules to estimate and analyze the coupling constants describing the interactions between heavy mesons and rho mesons, providing new insights into their nonperturbative properties.

Contribution

It offers the first estimates of certain heavy meson-rho coupling constants and refines previous results using updated hadronic parameters and QCD sum rule techniques.

Findings

Estimated coupling constants $g_{H^*H^* ho}$ and $f_{H^*H^* ho}$.

Improved values for $g_{HH ho}$ and $f_{H^*H ho}$.

Analyzed heavy quark asymptotic behavior and low energy parameters $eta$ and $\lambda$.

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 $g_{HH\rho}$, $f_{H^*H\rho}$, $g_{H^*H^*\rho}$ and $f_{H^*H^*\rho}$ 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 $g_{H^*H^*\rho}$ and $f_{H^*H^*\rho}$, about which little was known before, and present an improved result for $g_{HH\rho}$ and $f_{H^*H\rho}$. 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.