Predicting and verifying transition strengths from weakly bound molecules

Abstract

We investigated transition strengths from ultracold weakly bound $^{41}\mathrm{K}$$^{87}\mathrm{Rb}$ molecules produced via the photoassociation of laser-cooled atoms. An accurate potential energy curve of the excited state $(3){}^{1}{\ensuremath{\Sigma}}^{+}$ was constructed by carrying out direct potential fit analysis of rotational spectra obtained via depletion spectroscopy. Vibrational energies and rotational constants extracted from the depletion spectra of ${v}^{'}=41$--50 levels were combined with the results of the previous spectroscopic study and they were used for modifying an ab initio potential. An accuracy of 0.14% in vibrational level spacing and 0.3% in rotational constants was sufficient to predict the large observed variation in transition strengths among the vibrational levels. Our results show that transition strengths from weakly bound molecules are a good measure of the accuracy of an excited state potential.