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Limitations of a Theoretical Method to Calculate the Rovibrational Spectrum of Trimers: H\(^+_3\)

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Abstract

A method proposed to assign the symmetry character of the rovibrational spectrum of trimers has been applied to the case of H\(^+_3\). This system, much lighter than previously investigated rare gas three body molecules such as Ar\(_3\) or Ne\(_3\), constitutes a challenging example to test the possible limitations of this approach. Calculation of the corresponding rovibrational spectra for \(J=1\) and rotational constants and the corresponding comparison with results from hyperspherical coordinates methods reveals that distorsion Coriolis coupling terms, not accounted for in the original method, play a significant role for some specific symmetry representations.

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Acknowledgements

This work has been funded by MICINN with Grants Nos. FIS2014-51933-P, FIS2017-83157-P, FIS2014-52172-C2 and FIS2017-83473-C2.

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Authors and Affiliations

  1. Instituto Superior de Tecnologías y Ciencias Aplicadas, de la Universidad de La Habana, Avda. Salvador Allende y Luaces Quinta de Los Molinos, Plaza, 10600, Havana, Cuba

    Maykel Márquez-Mijares

  2. Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas, IFF-CSIC, Serrano 123, 28006, Madrid, Spain

    Octavio Roncero, Pablo Villarreal & Tomás González-Lezana

Authors
  1. Maykel Márquez-Mijares
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  2. Octavio Roncero
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  3. Pablo Villarreal
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  4. Tomás González-Lezana
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Corresponding author

Correspondence to Tomás González-Lezana.

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This article belongs to the Topical Collection “Critical Stability of Quantum Few-Body Systems”.

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Márquez-Mijares, M., Roncero, O., Villarreal, P. et al. Limitations of a Theoretical Method to Calculate the Rovibrational Spectrum of Trimers: H\(^+_3\). Few-Body Syst 59, 14 (2018). https://doi.org/10.1007/s00601-018-1332-8

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  • DOI: https://doi.org/10.1007/s00601-018-1332-8

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