Sum Rules for Radiative and Strong Decays of Heavy Mesons

Abstract

We derive two model-independent sum rules relating the transition matrix elements for radiative and strong decays of excited heavy mesons to properties of the lowest-lying heavy mesons. The sum rule for the radiative decays is an analog of the Cabibbo-Radicati sum rule and expresses the sum of the radiative widths in terms of the isovector charge radius of the ground state heavy meson. Using model-dependent estimates and heavy hadron chiral perturbation theory calculations, we show that this sum rule is close to saturation with states of excitation energies less than 1 GeV. An analog of the Adler-Weisberger sum rule gives an useful sum rule for the pionic widths of heavy excited mesons, which is used to set a model-independent upper bound on the coupling of the P-wave heavy mesons.

12 pages, REVTeX

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Cited by in corpus (8)

• Strong and radiative decays of the Ds0*(2317) meson in the DK-molecule picture
• Predictions for s-Wave and p-Wave Heavy Baryons from Sum Rules and Constituent Quark Model (I): Strong Interactions
• Analysis of the vertices $D^{\ast }{D}_{s}K$, $D_s^{\ast }DK$,$D_0{D}_{s}K$ and $D_{s0}DK$ with the light-cone QCD sum rules
• Heavy-Quark Symmetry and the Electromagnetic Decays of Excited Charmed Strange Mesons
• Four-fermion heavy quark operators and light current amplitudes in heavy flavor hadrons
• Structure of the $D_{s0}(2317)$ and the strong coupling constant $g_{D_{s0}DK}$ with the light-cone QCD sum rules
• Dispersive Approach to Semileptonic Form-Factors in Heavy-to-Light Meson Decays
• On internal structure of the heavy-light mesons