A Rydberg and a ground-state atom can form ultra-long-range diatomic molecules provided the interaction between the ground-state atom and the Rydberg electron is attractive [C. H. Greene, Phys. Rev. Lett. 85, 2458 (2000)10.1103/PhysRevLett.85.2458]. A repulsive interaction does not support bound states. However, as we will show, adding a second ground-state atom, a long-range bound triatomic molecule becomes possible.
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Liu et al. (2009) studied this question.
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