A Simplified Method for Identification of the Vibrational Series of Long-Range States in Na2

We performed two-color photoassociative ionization experiments in cold sodium atoms in a dark MOT. We produce a sample where most of the atoms were in the ground hyperfine state F=1. Applying a laser with variable frequency, in the region of 0 to −32 GHz, we obtained a photoassociative spectra containing sequences of different long-range potentials. Using the scaling law for intermediate states, we identified the vibrational series of involved states, separating the sequences. In this way, we have identified the vibrational series for the \(1_{g}, 0_{u}^{+}\), and \(0_{g}^{-}\) states contributions.