Abstract
We observe long-range homonuclear diatomic Rydberg molecules photoassociated out of an ultracold gas of Rb atoms for 3440. The measured ground-state binding energies of Rb molecular states are larger than those of their Rb counterparts, showing the dependence of the molecular bond on the angular momentum of the Rydberg atom. We exhibit the transition of Rb molecules from a molecular-binding-dominant regime at low to a fine-structure-dominant regime at high [akin to Hund's cases (a) and (c), respectively]. In the analysis the fine structure of the Rydberg atom and the hyperfine structure of the atom are included.
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