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Third Order Anharmonic Effects in Many-Body Nuclear Quantum Theory

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Abstract

The quantum theory of third order anharmonic effects in the photon production amplitude developed by V.A. Khodel has been generalized for nuclei with pairing and for a more accurate description of low-energy collective phonons. An expression for the transition amplitude between two- and one-phonon states has been obtained. This expression has been compared to the solution of a similar problem considered within the quasiparticle–phonon model. It has been shown that this approach describes a number of new effects, including three- and four-quasiparticle correlations in the ground state (backward-going graphs).

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References

  1. O. Bohr and B. Mottelson, Nuclear Structure (Benjamin, New York, 1975; Mir, Moscow, 1977), Vol. 2.

    MATH  Google Scholar 

  2. A. V. Avdeenkov and S. P. Kamerdzhiev, Phys. At. Nucl. 62, 563 (1999).

    Google Scholar 

  3. I. Hamamoto, Phys. Rep. 10, 63 (1974).

    Article  ADS  Google Scholar 

  4. P. Ring and J. Speth, Nucl. Phys. A 235, 315 (1974).

    Article  ADS  Google Scholar 

  5. R. A. Broglia, R. Liotta, and V. Paar, Phys. Lett. B 38, 480 (1972).

    Article  ADS  Google Scholar 

  6. B. L. Birbrair, Phys. Lett. B 32, 165 (1970).

    Article  ADS  Google Scholar 

  7. D. Voitenkov, S. Kamerdzhiev, S. Krewald, E. E. Saperstein, and S. V. Tolokonnikov, Phys. Rev. C 85, 054319 (2012).

    Article  ADS  Google Scholar 

  8. V. G. Soloviev, Theory of Atomic Nuclei, Quasi-particle and Phonons (Energoatomizdat, Moscow, 1989; CRC, Boca Raton, FL, 1992).

    Google Scholar 

  9. V. Yu. Ponomarev, Ch. Stoyanov, N. Tsoneva, and M. Grinberg, Nucl. Phys. A 635, 470 (1998).

    Article  ADS  Google Scholar 

  10. J. Enders, E. von Neumann-Cosel, V. Yu. Ponomarev, and A. Richter, Nucl. Phys. A 612, 239 (1997).

    Article  ADS  Google Scholar 

  11. A. P. Platonov, Sov. J. Nucl. Phys. 36, 491 (1982).

    Google Scholar 

  12. V. A. Khodel’, Sov. J. Nucl. Phys. 24, 367 (1976).

    Google Scholar 

  13. A. B. Migdal, Theory of Finite Fermi Systems and Applications to Atomic Nuclei (Nauka, Moscow, 1965; Interscience, New York, 1967).

    Google Scholar 

  14. V. A. Khodel and E. E. Saperstein, Phys. Rep. 92, 183 (1982).

    Article  ADS  Google Scholar 

  15. S. P. Kamerdzhiev, D. F. Voitenkov, E. E. Sapershtein, S. V. Tolokonnikov, and M. I. Shitov, JETP Lett. 106, 139 (2017).

    Article  ADS  Google Scholar 

  16. D. Brink, PhD Thesis (Oxford Univ., 1955).

    Google Scholar 

  17. P. Axel, Phys. Rev. 126, 671 (1962).

    Article  ADS  Google Scholar 

  18. S. P. Kamerdzhiev, A. V. Avdeenkov, and O. I. Achakovskii, Phys. At. Nucl. 77, 1303 (2014).

    Article  Google Scholar 

  19. A. L. Barabanov, Symmetries and Spin–Angular Correlations in Reactions and Decays (Fizmatlit, Moscow, 2010) [in Russian].

    Google Scholar 

Download references

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Authors and Affiliations

  1. National Research Center Kurchatov Institute, Moscow, 123182, Russia

    S. P. Kamerdzhiev & M. I. Shitov

Authors
  1. S. P. Kamerdzhiev
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  2. M. I. Shitov
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Correspondence to S. P. Kamerdzhiev.

Additional information

Russian Text © S.P. Kamerdzhiev, M.I. Shitov, 2019, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2019, Vol. 109, No. 1, pp. 65–71.

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Kamerdzhiev, S.P., Shitov, M.I. Third Order Anharmonic Effects in Many-Body Nuclear Quantum Theory. Jetp Lett. 109, 69–75 (2019). https://doi.org/10.1134/S0021364019010090

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  • DOI: https://doi.org/10.1134/S0021364019010090

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