Abstract
In this work, we show that various quantum interaction radial potential models used for describing diatomic molecules are particular cases of an exactly solvable multiparameter exponential-type potential. This feature is exploited to find the conditions that potentials should fulfill to be considered as equivalent. As an example of the usefulness of the proposal, the obtained requirements are applied to some of the most common diatomic potential models. Specifically, we have shown the equivalence among the radial potentials of Manning–Rosen, Deng–Fang, Schiöberg, Badawi–Bessis–Bessis, Tietz, Wie, Sun, the negative of the Williams–Poulios and the Möbius square potentials. The proposal to obtain equivalent radial potentials is general and can be directly applied to other interaction models as well as in the study of relativistic molecular physics.
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Acknowledgments
This work was partially supported by the projects UAM-A-CBI-2232004 and 009. We want to acknowledge to the SNI-Conacyt-Mexico the received stipend. Also, we thank the referees for their comments and for making of our knowledge the Möbius square potential which has improved the presentation of our work.
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Published as part of the special collection of articles “CHITEL 2015 - Torino - Italy”.
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Ovando, G., Peña, J.J. & Morales, J. On the equivalence of radial potential models for diatomic molecules. Theor Chem Acc 135, 62 (2016). https://doi.org/10.1007/s00214-016-1809-9
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DOI: https://doi.org/10.1007/s00214-016-1809-9