Inclusive charm production in χb decays

We calculate the inclusive decay rate of the spin-triplet bottomonium states χbJ into charm hadrons, including the leading-order color-singlet and color-octet bb̄ annihilation mechanisms. We also calculate the momentum distribution of the charm quark from the decay of χbJ. The infrared divergences from the color-singlet process bb̄→cc̄g are factored into the probability density at the origin for a bb̄ pair in a color-octet state. That probability density can be determined phenomenologically from the fraction of decays of χbJ that include charm hadrons. It can then be used to predict the partial widths into light hadrons for all four states in the P-wave bottomonium multiplet.