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Few-Body Systems

, 59:14 | Cite as

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

  • Maykel Márquez-Mijares
  • Octavio Roncero
  • Pablo Villarreal
  • Tomás González-Lezana
Article
Part of the following topical collections:
  1. Critical Stability 2017

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.

Notes

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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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Instituto Superior de Tecnologías y Ciencias Aplicadas, de la Universidad de La HabanaHavanaCuba
  2. 2.Instituto de Física Fundamental, Consejo Superior de Investigaciones CientíficasIFF-CSICMadridSpain

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