Sum Rules for Radiative and Strong Decays of Heavy Mesons

Details Sum Rules for Radiative and Strong Decays of Heavy Mesons Sum Rules for Radiative and Strong Decays of Heavy Mesons

1995-12-05

arxiv.org/abs/hep-ph/9512242v1

Phys.Rev. D54 (1996) 2063-2066

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, REVTeX

Scientific paper

10.1103/PhysRevD.54.2063

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.

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