TY - JOUR T1 - Rotational Structure of Weakly Bound Molecular Ions AU - Mikhail Lemeshko & Bretislav Friedrich JO - Journal of Atomic and Molecular Sciences VL - 1 SP - 41 EP - 47 PY - 2010 DA - 2010/01 SN - 1 DO - http://doi.org/10.4208/jams.101009.110209a UR - https://global-sci.org/intro/article_detail/jams/8063.html KW - molecular ions, cold collisions, rotational states, near-threshold quantization, WKB, analytic models. AB -
Relying on the quantization rule of Raab and Friedrich [Phys. Rev. A 80 (2009) 052705], we derive simple and accurate formulae for the number of rotational states supported by a weakly bound vibrational level of a diatomic molecular ion. We also provide analytic estimates of the rotational constants of any such levels up to threshold for dissociation and obtain a criterion for determining whether a given weakly bound vibrational level is rotationless. The results depend solely on the longrange part of the molecular potential.