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7Li and 7Be isotopes in a new cluster model

  • Nafiseh Roshanbakht
  • Mohammadreza Shojaei
Regular Article - Theoretical Physics

Abstract.

One of the cluster characteristics found in light nuclei in the vicinity of a nucleus with doubly magic closure is that valence nucleons act like a cluster rotating around a core. In this paper, cluster structures in 7Be and 7Li isotopes are studied, assuming a two-body system. Also, regarding the non-zero spin of the cluster, the effect of spin-orbit coupling on the splitting of states is investigated. Finally, to verify our model, the charge radius and electric quadrupole moment of the studied isotopes are calculated and compared to the experimental results, and show good agreement.

References

  1. 1.
    M. Freer, The Euroschool on Exotic Beams, Vol. IV (Springer Verlag, Berlin, Heidelberg, 2014)Google Scholar
  2. 2.
    J.A. Wheeler, Phys. Rev. 52, 1107 (1937)ADSCrossRefGoogle Scholar
  3. 3.
    D.M. Brink, C. Bloch, Proceedings of the International School of Physics ``Enrico Fermi'' Course XXXVI (Academic press, New York, 1966)Google Scholar
  4. 4.
    B. Zhou, Y. Funaki, H. Horiuchi, Z. Ren, G. Röpke, P. Schuck, A. Tohsaki, C. Xu, T. Yamada, Phys. Rev. C 89, 34319 (2014)ADSCrossRefGoogle Scholar
  5. 5.
    B. Buck, A.C. Merchant, S.M. Perez, Phys. Rev. C 51, 559 (1995)ADSCrossRefGoogle Scholar
  6. 6.
    M. Freer, Scholarpedia J. 5, 9652 (2010)ADSCrossRefGoogle Scholar
  7. 7.
    A. Tohsaki, H. Horiuchi, P. Schuck, G. Roepke, Rev. Mod. Phys. 89, 11002 (2017)ADSCrossRefGoogle Scholar
  8. 8.
    H. Horiuchi, K. Ikeda, Prog. Theor. Phys. 40, 277 (1968)ADSCrossRefGoogle Scholar
  9. 9.
    M. Freer, A.C. Merchant, J. Phys. G: Nucl. Part. Phys. 23, 261 (1997)ADSCrossRefGoogle Scholar
  10. 10.
    N. Zoghi-Foumani, M.R. Shojaei, A.A. Rajabi, Chin. Phys. C 41, 14104 (2017)ADSCrossRefGoogle Scholar
  11. 11.
    C. Beck, P. Papka, A. Zafra, S. Thummerer, F. Azaiez, P. Bednarczyk, S. Courtin, D. Curien, O. Dorvaux, A. Goasduff, arXiv:1011.3423 [nucl-ex]Google Scholar
  12. 12.
    C.A. Bertulani, Nuclear Physics in a Nutshell (Princeton University Press, New Jersey, 2007)Google Scholar
  13. 13.
    M.V. Zhukov, B.V. Danilin, D. Fedorov, J.M. Bang, I.J. Thompson, J.S. Vaagen, Phys. Rep. 231, 151 (1993)ADSCrossRefGoogle Scholar
  14. 14.
    Y. Akiyama, Nucl. Phys. A 138, 273 (1969)ADSCrossRefGoogle Scholar
  15. 15.
    E.C. Halbert, J.B. McGrory, B.H. Wildenthal, Phys. Rev. Lett. 20, 1112 (1968)ADSCrossRefGoogle Scholar
  16. 16.
    Y.C. Tang, Topics in Nuclear Physics II, A Comprehensive Review of Recent Developments (Springer Verlag, Berlin, Heidelberg, 1981)Google Scholar
  17. 17.
    B. Buck, C.B. Dover, J.P. Vary, Phys. Rev. C 11, 1803 (1975)ADSCrossRefGoogle Scholar
  18. 18.
    B. Buck, A.C. Merchant, S.M. Perez, Few-body Syst. 29, 53 (2000)ADSCrossRefGoogle Scholar
  19. 19.
    B. Buck, A.C. Merchant, M.J. Horner, S.M. Perez, Phys. Rev. C 61, 24314 (2000)ADSCrossRefGoogle Scholar
  20. 20.
    K. Aoki, H. Horiuchi, Prog. Theor. Phys. 69, 1154 (1983)ADSCrossRefGoogle Scholar
  21. 21.
    B. Zhou, Y. Funaki, H. Horiuchi, Z. Ren, G. Röpke, P. Schuck, A. Tohsaki, C. Xu, T. Yamada, Phys. Rev. Lett. 110, 262501 (2013)ADSCrossRefGoogle Scholar
  22. 22.
    Y. Kanada-En'yo, H. Horiuchi, A. Ono, Phys. Rev. C 52, 628 (1995)ADSCrossRefGoogle Scholar
  23. 23.
    N. Takigawa, K. Washiyama, Fundamentals of Nuclear Physics (Springer Verlag, Berlin, Heidelberg, 2015)Google Scholar
  24. 24.
    M.R. Shojaei, N. Roshanbakht, Chin. J. Phys. 53, 1 (2015)Google Scholar
  25. 25.
    M. Mousavi, M.R. Shojaei, Commun. Theor. Phys. 66, 483 (2016)ADSCrossRefGoogle Scholar
  26. 26.
    A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics (Springer Verlag, Berlin, Heidelberg, 1988). Google Scholar
  27. 27.
    R.L. Greene, C. Aldrich, Phys. Rev. A 14, 2363 (1976)ADSCrossRefGoogle Scholar
  28. 28.
    W.-C. Qiang, S.-H. Dong, Phys. Lett. A 368, 13 (2007)ADSMathSciNetCrossRefGoogle Scholar
  29. 29.
    S.M. Ikhdair, R. Sever, Ann. Phys. 17, 897 (2008)MathSciNetCrossRefGoogle Scholar
  30. 30.
    R. Bijker, EPJ Web Conf. 93, 1011 (2015)CrossRefGoogle Scholar
  31. 31.
    D. Jenkins, J. Phys. G: Nucl. Part. Phys. 43, 24003 (2016)CrossRefGoogle Scholar
  32. 32.
    G. Reidemeister, S. Ohkubo, F. Michel, Phys. Rev. C 41, 63 (1990)ADSCrossRefGoogle Scholar
  33. 33.
    C. Constantinou, M.A. Caprio, P.J. Fasano, Cluster orbitals for the mirror nuclei ^7Li and ^7Be in 2017 Fall Meeting of the APS Division of Nuclear Physics, Pennsylvania, Vol. 62, No. 11, Abstract: NF.00004 (2017)Google Scholar
  34. 34.
    H. Sadeghi, H. Khalili, Chin. Phys. Lett. 31, 12101 (2014)ADSCrossRefGoogle Scholar
  35. 35.
    N. Roshanbakht, M.R. Shojaei, Adv. High Energy Phys. 2017, 1 (2017)CrossRefGoogle Scholar
  36. 36.
    B. Buck, Clustering Aspects of Nuclear Structure (Springer Verlag, Berlin, Heidelberg, 1985)Google Scholar
  37. 37.
    B. Pritychenko, A.A. Sonzogni, D.F. Winchell, V.V. Zerkin, R. Arcilla, T.W. Burrows, C.L. Dunford, M.W. Herman, V. McLane, P. Obložinský, Ann. Nucl. Energy 33, 390 (2006)CrossRefGoogle Scholar
  38. 38.
    I. Angeli, K.P. Marinova, At. Data Nucl. Data Tables 99, 69 (2013)ADSCrossRefGoogle Scholar
  39. 39.
    C. Forssén, E. Caurier, P. Navrátil, Phys. Rev. C 79, 21303 (2009)CrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Nuclear Physics, Faculty of Physics and Nuclear EngineeringShahrood University of TechnologyShahroodIran

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