REMARKS ON THE DECAYS χ'bJ→ωϒ

Abstract

The recently observed by CLEO cascade decays ϒ(3S)→γχ'bJ→γωϒ are discussed. It is shown that within the nonrelativistic description of bottomonium in the heavy b quark limit, the ratio of the rates of the transitions χ'bJ→ωϒ with J = 1 and J = 2 should be given by the ratio of the corresponding S wave phase space factors. As a result, the rate of the observed cascade transitions through the χ'b2 resonance should be close to that through the χ'b1. It is suggested that the ratio of the discussed cascade rates can also be tested by measuring a simple angular correlation.