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Weakly Bound LiHe\(_2\) Molecules in the Framework of Three-Dimensional Faddeev Equations

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Abstract

A method of direct solution of the Faddeev equations for the bound-state problem with zero total angular momentum is used to calculate the binding energies. The results for binding energies of He\(_2{}^6\)Li and He\(_2{}^7\)Li systems and helium atom–HeLi dimer scattering length are presented. The results show that modern potential models support two bound states in both trimers. In both cases the energy of the excited state is very close to the energy of the lowest two-body threshold.

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Acknowledgements

One of the author (EAK) would like to thank T. Frederico, A. Kievsky and P. Stipanović for stimulating discussions and also W. Sandhas and A.K. Motovilov for their constant interest to this work. The work of VR has been partially supported by RFBI grant 18-02-00492, the calculations have been performed in Resource Center “Computer Center of SPbU”.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research and Dubna State University, Dubna, Russia, 141980

    E. A. Kolganova

  2. Department of Computational Physics, St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, Russia, 199034

    V. Roudnev

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  1. E. A. Kolganova
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  2. V. Roudnev
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Correspondence to E. A. Kolganova.

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Kolganova, E.A., Roudnev, V. Weakly Bound LiHe\(_2\) Molecules in the Framework of Three-Dimensional Faddeev Equations. Few-Body Syst 60, 32 (2019). https://doi.org/10.1007/s00601-019-1499-7

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