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Asymptotic levels of the A $^1\Sigma_u^+$ state of the two isotopomers$^{39}{\rm K}_2$ and $^{39}{\rm K}^{41}{\rm K}$ up to the dissociation limitare investigated with a Doppler-free high resolution laser-spectroscopicexperiment in a molecular beam. The observed level structure can be reproducedcorrectly only if a mass dependent correction term is introduced for theinteraction potential. The applied relative correction in the depth of thepotential is $10^{-6}$, which is in the order of magnitude expected forcorrections of the Born-Oppenheimer approximation. A similar change in groundstate potentials might lead to significant changes of mass-scaled propertiesdescribing cold collisions like the s-wave scattering length.

Study of the Born-Oppenheimer Approximation for Mass-Scaling of Cold Collision Properties