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Global view of the rotational structure of the \(\mathrm{ K^{\pi} = 2^{+} \gamma}\)-bands

  • J. B. GuptaEmail author
Regular Article - Theoretical Physics
  • 29 Downloads

Abstract.

The correlation of the rotational structure of the \( K^{\pi}=2^{+}\)\( \gamma\)-bands, with the \( K^{\pi}=0^{+}\) ground bands, of the even-Z even-N atomic nuclei of the mid mass region \( (A=140 - 200)\) is reviewed from the global view point. The variation of the energy level pattern with N and Z in the major shell (\( Z=50 - 82\), \( N=82 - 126\)) is illustrated quadrant-wise, through the moment of inertia plots. The correlations are viewed in terms of the dynamic symmetries of the Interacting Boson Model-1. The average value of the power index of the single term power law of level energies in the \( \gamma\)-band is compared with the ground band. Its variation with neutron number N is displayed for Dy, Er and Os isotopic chains. The effect of the beta stability line across the quadrants is pointed out. Also the variation of the \( \gamma\)-band head energy \( E(2_{\gamma})\) with N and Z and its correlation with ground and \( \beta\)-band is analyzed.

References

  1. 1.
    A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. 2 (W. A. Benjamin, New York, 1975)Google Scholar
  2. 2.
    R.F. Casten, Nuclear Structure from a Simple Perspective (Oxford University Press, New York, 1990)Google Scholar
  3. 3.
    F. Iachello, A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, UK, 1987)Google Scholar
  4. 4.
    A. Faessler, W. Greiner, R.K. Sheline, Nucl. Phys. 70, 33 (1965)CrossRefGoogle Scholar
  5. 5.
    K. Kumar, M. Baranger, Nucl. Phys. A 110, 529 (1968)ADSCrossRefGoogle Scholar
  6. 6.
    J.B. Gupta, A.K. Kavathekar, Pramana J. Phys. 61, 167 (2003)ADSCrossRefGoogle Scholar
  7. 7.
    B. Bihari, M. Singh, Y. Singh, A.K. Varshney, K.K. Gupta, D.K. Gupta, Phys. Scr. 77, 055201 (2008)ADSCrossRefGoogle Scholar
  8. 8.
    J.B. Gupta, S. Sharma, Vikas Katoch, Pramana J. Phys. 81, 75 (2013)ADSCrossRefGoogle Scholar
  9. 9.
    J.B. Gupta, J.H. Hamilton, A.V. Ramayya, Int. J. Mod. Phys. A 5, 1155 (1990)ADSCrossRefGoogle Scholar
  10. 10.
    Monica Karday, H.M. Mittal, Rohit Mehra, Mod. Phys. Lett. A 33, 1850118 (2018)CrossRefGoogle Scholar
  11. 11.
    Brookhaven National Laboratory, Chart of nuclides of National Nuclear data Center, http://www.nndc.bnl.gov/ENSDF
  12. 12.
    J.B. Gupta, Eur. Phys. J. A 48, 177 (2012)ADSCrossRefGoogle Scholar
  13. 13.
    R.F. Casten, D.D. Warner, D.S. Brenner, R.L. Gill, Phys. Rev. Lett. 47, 1433 (1981)ADSCrossRefGoogle Scholar
  14. 14.
    F. Iachello, Phys. Rev. Lett. 87, 052502 (2001)ADSCrossRefGoogle Scholar
  15. 15.
    P. von Brentano, A. Gelberg, H. Harter, P. Sala, J. Phys. G.: Nucl. Phys. 11, L85 (1985)ADSCrossRefGoogle Scholar
  16. 16.
    A. Arima, T. Otsuka, F. Iachello, F. Talmi, Phys. Lett. B 66, 205 (1977)ADSCrossRefGoogle Scholar
  17. 17.
    J.B. Gupta, A.K. Kavathekar, R. Sharma, Phys. Scr. 51, 316 (1995)ADSCrossRefGoogle Scholar
  18. 18.
    J.B. Gupta, Pramana J. Phys. 89, 0034 (2017)ADSCrossRefGoogle Scholar
  19. 19.
    J.B. Gupta, J.H. Hamilton, Nucl. Phys. A 983, 20 (2019)ADSCrossRefGoogle Scholar
  20. 20.
    J.B. Gupta, Int. J. Mod. Phys. E 27, 1850044 (2018)ADSCrossRefGoogle Scholar
  21. 21.
    K. Kumar, M. Baranger, Nucl. Phys. A 122, 273 (1968)ADSCrossRefGoogle Scholar
  22. 22.
    L. Grodzins, Phys. Lett. 2, 88 (1962)ADSCrossRefGoogle Scholar
  23. 23.
    J.B. Gupta, Vikas Katoch, Int J. Mod. Phys. E 27, 1850033 (2018)ADSCrossRefGoogle Scholar
  24. 24.
    P. von Brentano, N.V. Zamfir, R.F. Casten, W.G. Rellergert, E.A. McCutchan, Phys. Rev. C 69, 044314 (2004)ADSCrossRefGoogle Scholar
  25. 25.
    J.A. Cizweski, R.F. Casten, G.J. Smith, M.L. Stelts, W.R. Kane, H.G. Borner, W.F. Davidson, Phys. Lett. 40, 167 (1978)CrossRefGoogle Scholar
  26. 26.
    F. Iachello, Phys. Rev. Lett. 85, 3580 (2000)ADSCrossRefGoogle Scholar
  27. 27.
    R.F. Casten, P. Von Brentano, K. Heyde, P. Van Isacker, J. Jolie, Nucl. Phys. A 439, 289 (1985)ADSCrossRefGoogle Scholar
  28. 28.
    R.F. Casten, N.V. Zamfir, Phys. Rev. Lett. 85, 3584 (2000)ADSCrossRefGoogle Scholar
  29. 29.
    R.M. Clark et al., Phys. Rev. C 69, 064321 (2004)ADSCrossRefGoogle Scholar
  30. 30.
    A. Frank, C.E. Alanso, J. Arias, Phys. Rev. C 65, 014301 (2002)ADSCrossRefGoogle Scholar
  31. 31.
    R. Bijker, R.F. Casten, N.V. Zamfir, E.A. McCutchan, Phys. Rev. C 68, 064304 (2003)ADSCrossRefGoogle Scholar
  32. 32.
    A. Arima, F. Iachello, Ann. Phys. 111, 201 (1978)ADSCrossRefGoogle Scholar
  33. 33.
    J.B. Gupta, Phys. Rev. C 33, 1505 (1986)ADSCrossRefGoogle Scholar
  34. 34.
    J.B. Gupta, Phys. Rev. C 39, 272 (1989)ADSCrossRefGoogle Scholar
  35. 35.
    P. Sala, P. von Brentano, H. Harter, B. Barret, R.F. Casten, Nucl. Phys. A 456, 269 (1986)ADSCrossRefGoogle Scholar
  36. 36.
    K. Kumar, Phys. Rev. C 1, 369 (1970)ADSCrossRefGoogle Scholar
  37. 37.
    A. Leviatan, J.N. Ginocchio, Phys. Rev. C 61, 024305 (2000)ADSCrossRefGoogle Scholar
  38. 38.
    A. Leviatan, Prog. Part. Nucl. Phys. 66, 93 (2011)ADSCrossRefGoogle Scholar
  39. 39.
    J.B. Gupta, J.H. Hamilton, Eur. Phys. J. A 51, 151 (2015)ADSCrossRefGoogle Scholar
  40. 40.
    J.B. Gupta, J.H. Hamilton, Phys. Rev. C 96, 034321 (2017)ADSCrossRefGoogle Scholar

Copyright information

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

Authors and Affiliations

  1. 1.Ramjas CollegeUniversity of DelhiDelhiIndia

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