Production of the D-wave $b \bar b$ states

Abstract

The first and second families of D-wave $b \bar b$ quarkonium states are expected to have masses near 10.16 and 10.44 GeV/$c^2$. The accuracy of these predictions is discussed, and the prospects of two methods for producing these states in electron-positron collisions are updated. Direct scans in the $e^+ e^-$ center-of-mass can give rise to the $^3D_1$ states. The $1^3D_J$ states have also been searched for in the electromagnetic cascades from $\ups(3S) \to \gamma \chi'_b \to \gamma \gamma ^3D_J$. The sample of $\ups(3S)$ decays required to definitively observe the $1^3D_J$ states is found to be only somewhat greater than the present world's total.