Sum rules for radiative and strong decays of heavy mesons

We present analogues of the Cabibbo-Radicati and Adler-Weisberger sum rules for heavy mesons. The former expresses the sum of the radiative widths of excited heavy mesons in terms of the isovector charge radius of the ground-state heavy meson, while the latter relates the pionic widths of heavy excited mesons and can be used to set a model-independent upper bound on the pion coupling of the $P$-wave heavy mesons to the ground state meson.