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Volume 1, Issue 1
Rotational Structure of Weakly Bound Molecular Ions

Mikhail Lemeshko & Bretislav Friedrich

DOI: 10.4208/jams.101009.110209a

J. At. Mol. Sci., 1 (2010), pp. 41-47.

Published online: 2010-01

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  • Abstract

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.

  • Keywords

molecular ions, cold collisions, rotational states, near-threshold quantization, WKB, analytic models.

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COPYRIGHT: © Global Science Press

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@Article{JAMS-1-41, author = {Mikhail Lemeshko and Bretislav Friedrich }, title = {Rotational Structure of Weakly Bound Molecular Ions}, journal = {Journal of Atomic and Molecular Sciences}, year = {2010}, volume = {1}, number = {1}, pages = {41--47}, abstract = {

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.

}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.101009.110209a}, url = {http://global-sci.org/intro/article_detail/jams/8063.html} }
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.

Mikhail Lemeshko and Bretislav Friedrich . (2010). Rotational Structure of Weakly Bound Molecular Ions. Journal of Atomic and Molecular Sciences. 1 (1). 41-47. doi:10.4208/jams.101009.110209a
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