Singular binding dependence in the hadronic widths of 1/sup ++/ and 1 /sup +-/ heavy quark antiquark bound states

The annihilation rates into hadrons of P-wave heavy quark-antiquark bound states are calculated within SU(3) colour gauge theory (in particular for the charm scheme). An interesting feature is found, a logarithmic divergence for small binding for the states 1/sup ++/ and 1/sup +-/. Implications for theasymptotic freedom approach to the decay rates of the new particles are discussed. An attempt to use quantitatively the obtained results for all the C-even P-waves gives Gamma /sub ann/(0/sup ++/): Gamma /sub ann/(2/sup ++/): Gamma /sub ann /(1/sup ++/) approximately=15:4:1. (8 refs).