Rotational and rotationless states of weakly-bound molecules

Physics – Atomic Physics

Scientific paper

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slightly corrected version, 4 pages, 1 figure, 3 tables

Scientific paper

10.1103/PhysRevA.79.050501

By making use of the quantization rule of Raab and Friedrich [P. Raab and H. Friedrich, Phys. Rev. A 78, 022707 (2008)], we derive simple and accurate formulae for the number of rotational states supported by a weakly-bound vibrational level of a diatomic molecule and the rotational constants of any such levels up to the threshold, and provide a criterion for determining whether a given weakly-bound vibrational level is rotationless. The results depend solely on the long-range part of the molecular potential and are applicable to halo molecules.

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