Strong and Electromagnetic Decays of The $D$-wave Heavy Mesons

TL;DR

This paper calculates coupling constants and decay widths of D-wave heavy mesons using light-cone QCD sum rules, providing predictions that aid future experimental searches for these particles.

Contribution

It introduces a method to compute coupling constants and decay widths of D-wave heavy mesons within the heavy quark effective theory framework.

Findings

Coupling constants are calculated with stable sum rules.

Decay widths of D-wave heavy mesons are estimated to be several tens of MeV.

Results support experimental identification of these mesons.

Abstract

We calculate the $\pi$, $\rho$, $\omega$, and $\gamma$ coupling constants between the heavy meson doublets $(1^-,2^-)$ and (0^-,1^-)/(0^+,1^+) within the framework of the light-cone QCD sum rule at the leading order of heavy quark effective theory. Most of the sum rules are stable with the variations of the Borel parameter and the continuum threshold. Then we calculate the strong and electromagnetic decay widths of the $(1^-,2^-)$ D-wave heavy mesons. Their total widths are around several tens of MeV, which is helpful in the future experimental search.