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Collective treatment of the isovector pair correlations: Boson representation

  • G. Nikoghosyan
  • E. A. Kolganova
  • D. A. Sazonov
  • R. V. JolosEmail author
Regular Article - Theoretical Physics
  • 12 Downloads

Abstract.

We propose a theoretical approach to the consideration of the Hamiltonian with pairing forces using the technique of finite boson representation. We show that a simultaneous description of the pairing vibrational state in 56Ni and the pairing rotational states with the isospin \( T=0\) in the neighboring \( N=Z\) nuclei is possible if the pairing Hamiltonian takes into account only isovector monopole pairing. However, the calculated energies of the pairing rotational states of \( N=Z\) nuclei obtained from 56Ni by adding (removing) 12 or more nucleons exceed significantly the experimental values. A possible reason for this discrepancy is discussed.

Notes

References

  1. 1.
    A. Bohr, B.R. Mottelson, D. Pines, Phys. Rev. 110, 936 (1958)ADSCrossRefGoogle Scholar
  2. 2.
    S.T. Belyaev, K. Dan, Vidensk. Selsk. Mat. Fys. Medd. 31, 1 (1959)Google Scholar
  3. 3.
    V.G. Soloviev, Nucl. Phys. 9, 655 (1958/59)CrossRefGoogle Scholar
  4. 4.
    V.G. Zelevinsky, R.A. Broglia (Editors), Fifty years of Nuclear BCS (World Scientific, Singapore, 2013)Google Scholar
  5. 5.
    A.L. Goodman, Adv. Nucl. Phys. 11, 263 (1979)Google Scholar
  6. 6.
    G.F. Bertsch, Y. Luo, Phys. Rev. C 81, 064320 (2010)ADSCrossRefGoogle Scholar
  7. 7.
    A.O. Macchiavelli, P. Fallon, R.M. Clark, M. Cromaz, M.A. Deleplanque, R.M. Diamond, G.J. Lane, I.Y. Lee, F.S. Stephens, C.E. Svensson, K. Vetter, D. Ward, Phys. Rev. C 61, 041303(R) (2000)ADSCrossRefGoogle Scholar
  8. 8.
    A.O. Macchiavelli, P. Fallon, R.M. Clark, M. Cromaz, M.A. Deleplanque, R.M. Diamond, G.J. Lane, I.Y. Lee, F.S. Stephens, C.E. Svensson, K. Vetter, D. Ward, Phys. Lett. B 480, 1 (2000)ADSCrossRefGoogle Scholar
  9. 9.
    A. Poves, G. Martinez-Pinedo, Phys. Lett. B 430, 203 (1998)ADSCrossRefGoogle Scholar
  10. 10.
    B.H. Flowers, M. Vujicic, Nucl. Phys. 49, 586 (1963)CrossRefGoogle Scholar
  11. 11.
    J. Eichler, M. Yamamura, Nucl. Phys. A 182, 33 (1972)ADSCrossRefGoogle Scholar
  12. 12.
    Y.K. Gambhir, P. Ring, P. Schuck, Phys. Rev. Lett. 51, 1235 (1983)ADSCrossRefGoogle Scholar
  13. 13.
    M. Hasegawa, S. Tazaki, R. Okamoto, Nucl. Phys. A 592, 45 (1995)ADSCrossRefGoogle Scholar
  14. 14.
    J. Dobes, S. Pittel, Phys. Rev. C 57, 688 (1998)ADSCrossRefGoogle Scholar
  15. 15.
    R.A. Senkov, V.G. Zelevinsky, Phys. At. Nucl. 74, 1267 (2011)CrossRefGoogle Scholar
  16. 16.
    N. Sandulescu, D. Negrea, C.W. Johnson, Phys. Rev. C 85, 061303(R) (2012)ADSCrossRefGoogle Scholar
  17. 17.
    N. Sandulescu, D. Negrea, J. Dukelsky, C.W. Johnson, Phys. Rev. C 86, 041302(R) (2012)ADSCrossRefGoogle Scholar
  18. 18.
    D. Negrea, N. Sandulescu, Phys. Rev. C 90, 024322 (2014)ADSCrossRefGoogle Scholar
  19. 19.
    N. Sandulescu et al., J. Phys.: Conf. Ser. 533, 012018 (2014)Google Scholar
  20. 20.
    N. Sandulescu, D. Negrea, D. Gambacurta, Phys. Lett. B 751, 348 (2015)ADSCrossRefGoogle Scholar
  21. 21.
    D. Negrea, N. Sandulescu, D. Gambacurta, Prog. Theor. Exp. Phys. 2017, 073D05 (2017)CrossRefGoogle Scholar
  22. 22.
    M. Sambataro, N. Sandulescu, Eur. Phys. J. A 53, 47 (2017)ADSCrossRefGoogle Scholar
  23. 23.
    D. Negrea, P. Buganu, D. Gambacurta, N. Sandulescu, Phys. Rev. C 98, 064319 (2018)ADSCrossRefGoogle Scholar
  24. 24.
    V.V. Baran, D.S. Delion, arXiv:1902.00065v1 [nucl-th] (2019)Google Scholar
  25. 25.
    J.A. Evans, G.G. Dussel, E.E. Maqueda, R.P.J. Perazzo, Nucl. Phys. A 367, 77 (1981)ADSCrossRefGoogle Scholar
  26. 26.
    G.G. Dussel, E. Maqueda, R.P.J. Perazzo, Nucl. Phys. A 153, 469 (1970)ADSCrossRefGoogle Scholar
  27. 27.
    G.G. Dussel, E. Maqueda, R.P.J. Perazzo, J.A. Evans, Nucl. Phys. A 450, 164 (1986)ADSCrossRefGoogle Scholar
  28. 28.
    J. Dukelsky, C. Esebbag, P. Schuck, Phys. Rev. Lett. 87, 066403 (2001)ADSCrossRefGoogle Scholar
  29. 29.
    J. Dukelsky, V.G. Gueorguiev, P. Van Isacker, S. Dimitrova, B. Errea, S. Lerma, Phys. Rev. Lett. 96, 072503 (2006)ADSCrossRefGoogle Scholar
  30. 30.
    D.R. Bes, R.A. Broglia, R.P.J. Perazzo, K. Kumar, Nucl. Phys. A 143, 1 (1970)ADSCrossRefGoogle Scholar
  31. 31.
    G.G. Dussel, R.P.J. Perazzo, D.R. Bes, Nucl. Phys. A 183, 298 (1972)ADSCrossRefGoogle Scholar
  32. 32.
    R.V. Jolos, F. Dönau, V.G. Kartavenko, D. Janssen, Theor. Math. Phys. (Russia) 14, 70 (1973)Google Scholar
  33. 33.
    G. Nikoghosyan, E.A. Kolganova, R.V. Jolos, Bulg. J. Phys. 44, 443 (2017)Google Scholar
  34. 34.
    R.V. Jolos, V.G. Kartavenko, E.A. Kolganova, Part. Nucl. 49, 125 (2018)CrossRefGoogle Scholar
  35. 35.
    G.G. Dussel, R.P.J. Perazzo, D.R. Bes, R.A. Broglia, Nucl. Phys. A 175, 513 (1971)ADSCrossRefGoogle Scholar
  36. 36.
    A. Bohr, in Proceedings of the International Symposium on Nuclear Structure (Dubna) (IAEA, Vienna, 1968)Google Scholar
  37. 37.
    D.R. Bes, R.A. Broglia, O. Hansen, O. Nathan, Phys. Rep. 34, 1 (1977)ADSCrossRefGoogle Scholar
  38. 38.
  39. 39.
    V.G. Soloviev, Theory of complex nuclei (Nauka, Moscow, 1971)Google Scholar
  40. 40.
    A. Bohr, B. Mottelson, Phys. Scr. A 10, 13 (1974)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • G. Nikoghosyan
    • 1
  • E. A. Kolganova
    • 2
  • D. A. Sazonov
    • 2
  • R. V. Jolos
    • 2
    Email author
  1. 1.Yerevan State UniversityYerevanArmenia
  2. 2.Joint Institute for Nuclear Research and Dubna State UniversityDubnaRussia

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