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Relativistic rotation-vibrational energies for the Cs2 molecule

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Abstract

We present bound state solutions of the Dirac equation with the improved Rosen-Morse potential energy model. In the non-relativistic limit, the relativistic energy equation becomes the non-relativistic rotation-vibrational energy expression of the diatomic molecule. We find that the relativistic effect of the relative motion of the ions produces an obvious decrease in the vibrational energies for the 33Σg + state of the Cs2 molecule. It is observed that the behavior of the relativistic rotation-vibrational energies in larger rotational quantum numbers remains similar to that of the system with zero rotational quantum number.

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Authors and Affiliations

  1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, 610500, P.R. China

    Chun-Sheng Jia

  2. China Huanqiu Contracting and Engineering Corporation, Beijing, 100012, P.R. China

    Yue Jia

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  1. Chun-Sheng Jia
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  2. Yue Jia
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Correspondence to Chun-Sheng Jia.

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Jia, CS., Jia, Y. Relativistic rotation-vibrational energies for the Cs2 molecule. Eur. Phys. J. D 71, 3 (2017). https://doi.org/10.1140/epjd/e2016-70415-y

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  • DOI: https://doi.org/10.1140/epjd/e2016-70415-y

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