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Metastable states of a composite system tunneling through repulsive barriers

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Abstract

We consider a method for solving the problem of quantum tunneling through repulsive potential barriers for a composite system consisting of several identical particles coupled via pair oscillator-type potentials in the oscillator symmetrized-coordinate representation. We confirm the efficiency of the proposed approach by calculating complex energy values and analyzing metastable states of composite systems of three, four, and five identical particles on a line, which leads to the effect of quantum transparency of the repulsive barriers.

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Author information

Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

    A. A. Gusev, S. I. Vinitsky & O. Chuluunbaatar

  2. Mongolian National University, Ulaanbaatar, Mongolia

    O. Chuluunbaatar

  3. Saratov Chernyshevsky State University, Saratov, Russia

    V. L. Derbov

  4. Maria Curie-Skłodowska University, Lublin, Poland

    A. Góźdź

  5. Institute of Nuclear Physics, Almaty, Kazakhstan

    P. M. Krassovitskiy

Authors
  1. A. A. Gusev
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  2. S. I. Vinitsky
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  3. O. Chuluunbaatar
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  4. V. L. Derbov
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  5. A. Góźdź
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  6. P. M. Krassovitskiy
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Corresponding author

Correspondence to A. A. Gusev.

Additional information

This research was supported in part by the Russian Foundation for Basic Research (Grant Nos. 14-01-00420 and 13-01-00668), the Bogoliubov–Infeld program, and the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. 0333/GF4).

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 186, No. 1, pp. 27–50, January, 2016.

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Gusev, A.A., Vinitsky, S.I., Chuluunbaatar, O. et al. Metastable states of a composite system tunneling through repulsive barriers. Theor Math Phys 186, 21–40 (2016). https://doi.org/10.1134/S0040577916010037

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  • DOI: https://doi.org/10.1134/S0040577916010037

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