D-wave quarkonium production and annihilation decays: Formalism and applications.

Abstract

We derive a covariant formalism to describe D-wave quarkonium production and annihilation decays in the context of nonrelativistic potential models. We apply it to evaluate the decay rates for such processes as ${\mathit{Z}}^{0}$${\ensuremath{\rightarrow}}^{1}$${\mathit{D}}_{2}$+\ensuremath{\gamma}${,}^{3}$${\mathit{D}}_{\mathit{J}}$+\ensuremath{\gamma} (where J=1,2,3) and other previously uncalculated processes. Despite the appearance of relatively large numerical coefficients, we find no case in which D-wave states (followed by radiative decays) make any significant contributions to inclusive $^{3}$${\mathit{S}}_{1}$ quarkonium production.