Abstract
An algebraic method for rotational energies at a given vibrational state (AMr(v)) is proposed in this study in order to obtain unknown high-lying rovibrational energies. Applications of this method to the ground electronic state X1Σ+ of CO and the excited state C1Σ+ of 39K7Li molecules show the following: (1) the AMr(v) can give the rational upper limit \(\overline J \) of a rotational quantum number of a diatomic electronic state; (2) the full AMr(v) rovibrational energies {EυJ}υ} of given vibrational states not only reproduce all known experimental data excellently but also predict precisely the values of all high-lying rovibrational energies, which may not be available experimentally.
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Zhang, Y., Sun, W., Fu, J. et al. Method for studying diatomic rovibrational spectra at a given vibrational state. Sci. China Phys. Mech. Astron. 62, 943011 (2019). https://doi.org/10.1007/s11433-018-9311-3
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DOI: https://doi.org/10.1007/s11433-018-9311-3