Journal of the Korean Physical Society

, Volume 76, Issue 1, pp 8–13 | Cite as

Study of Back Bending in 157,158Er Isotopes by Using Electromagnetic Reduced Transition Probabilities

  • Mehran ShahriarieEmail author
  • Saeed Mohammadi
  • Zohreh Firouzi


Electromagnetic reduced transition probabilities B(E2) and B(M1) calculated by using the PSM (Projected Shell Model) code are used to study the back-bending phenomenon in 157,158Er isotopes. As a result, two great drops in the B(E2)/B(M1) ratio were observed in spins 12 ħ and (37/2) ħ for the 158Er and the 157Er isotopes, respectively, which coincident exactly with the inertia change versus rotational frequency in the usual back-bending plots for these isotopes.


Reduced transition probability Yrast line Back bending PSM code 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    W. Greiner, Exciting Interdisciplinary Physics, FIAS Interdisciplinary Science Series (Springer, Germany, 2013), Sec. 2.CrossRefGoogle Scholar
  2. [2]
    N. Bohr and F. Kalckar, Math. Phys. Medd 14, 10 (1937).Google Scholar
  3. [3]
    A. Bohr and B. Mottelson, Nuclear Structure (World Scinetific, Singapore/New Jersey/London/Hong Kong, 1998), Vol. II, Sec 4.CrossRefGoogle Scholar
  4. [4]
    X. Wang and M. A. Riley, The Fascinating γ-Ray World of the Atomic Nucleus: The Evolution of Nuclear Structure in 158Er and the Future of γ-Ray Spectroscopy, In: W. Greiner, Exciting Interdisciplinary Physics, FIAS Interdisciplinary Science Series (Springer, Germany, 2013), Sec. 2.Google Scholar
  5. [5]
    S. G. Nilsson, Math. Phys. Med. 16, 3 (1955).Google Scholar
  6. [6]
    K. Hara and Y. Sun, Int. J. Mod. Phys. E 4, 637 (1995).ADSCrossRefGoogle Scholar
  7. [7]
    Y. Sun and K. Hara, Comput. Phys. Commun. 104, 245 (1997).ADSCrossRefGoogle Scholar
  8. [8]
    A. Ansari and S. Nair, Nucl. Phys. A 163, 56 (1971).ADSCrossRefGoogle Scholar
  9. [9]
    A. Faessler and M. T. Ploszajczak, Phys. Lett. B 76, 1 (1978).ADSCrossRefGoogle Scholar
  10. [10]
    L. Lin and C. Chang, J. Phys. G: Nucl. Phys. 7, L25 (1981).ADSCrossRefGoogle Scholar
  11. [11]
    T. Bengtsson, Nucl. Phys. A 512, 124 (1990).ADSCrossRefGoogle Scholar
  12. [12]
    M. Ploszajczak and A. Faessler, Nucl. Phys. A 379, 77 (1982).ADSCrossRefGoogle Scholar
  13. [13]
    J. A. Sheikh et al., Phys. Rev. C 77, 034313–1 (2008).ADSCrossRefGoogle Scholar
  14. [14]
    J. Simpson et al., Phys. G: Nucl. Part. Phys. 15, 643 (1989).ADSCrossRefGoogle Scholar
  15. [15]
    M. Oshima et al., Phys. Rev. C 33, 1988 (1986).ADSCrossRefGoogle Scholar
  16. [16]
    R. Harun, J. Korean Phys. Soc. 49, 60 (2006).ADSGoogle Scholar
  17. [17]
    G. H. Bhat et al., Proc. DAE-BRNS Symp. Nucl. Phys. 61, 64 (2016).Google Scholar
  18. [18]
    M. A. Riley, J. Simpson and E. S. Paul, Phys. Scr. 91, 123002 (2016).ADSCrossRefGoogle Scholar
  19. [19]
    J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957).ADSMathSciNetCrossRefGoogle Scholar
  20. [20]
    P. Müller, A. J. Sierk, T. Ichikawa and H. Sagawa, At. Data Nucl. Data Tables 109, 1 (2016).ADSCrossRefGoogle Scholar
  21. [21]
    N. Nica, Nucl. Data Sheets 141, 1 (2017).ADSCrossRefGoogle Scholar
  22. [22]
    Y. Sun and J. Egido, Nucl. Phys. A 580, 1 (1994).ADSCrossRefGoogle Scholar
  23. [23]
    P. Verma et al., Nucl. Phys. A 918, 1 (2013).ADSCrossRefGoogle Scholar
  24. [24]
    D. Ram, R. Devi and S. Khosa, Pramana 80, 953 (2013).ADSCrossRefGoogle Scholar
  25. [25]
    A. Bohr and B. R. Mottelson, Nuclear Structure (World Scientific, Singapore/New Jersey/London/Hong Kong, 1998), Vol. I, Sec. 3.CrossRefGoogle Scholar
  26. [26]
    B. Castel and I. S. Towner, Modern Theories of Nuclear Moments (Clarendon Press, Oxford, 1990), Sec. 3 and 4.Google Scholar
  27. [27]
    B. Alex, Lecture Notes in Nuclear Structure Physics (National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan, 2005), Sec. 4.Google Scholar

Copyright information

© The Korean Physical Society 2020

Authors and Affiliations

  • Mehran Shahriarie
    • 1
    Email author
  • Saeed Mohammadi
    • 1
  • Zohreh Firouzi
    • 1
  1. 1.Department of PhysicsPayame Noor UniversityTehranIran

Personalised recommendations