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

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 Z⁰{{→}}¹D₂+{γ},³{D}J$+{γ} (where J=1,2,3) and other previously uncalculated processes. Despite the appearance of relatively large numerical coefficients, we find no case in which D-wave states (followed by radiative decays) make any significant contributions to inclusive ³{S}₁$ quarkonium production.