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Prediction of band-head spin of triaxial super-deformed bands using the modified VMI model

  • Poonam Jain
  • V. S. Uma
  • Alpana GoelEmail author
  • S. K. Mandal
Regular Article
  • 17 Downloads

Abstract.

The band-head spin \( (I_{0})\) of triaxial super-deformed (TSD) bands recently available in the rare-earth region are evaluated by using the modified variable moment of inertia (VMI) model. Quantitatively good results of the \( \gamma\) -ray energies and the spins of the TSD bands for Tm, Lu and Hf isotopes are obtained. The ratio of transition energies over spin \( E_{\gamma}/2I\) is used to evaluate the correct spin of the band-head by the VMI equation. The calculated and observed transition energies agree quite well when the correct band-head spin \( (I_{0})\) is obtained. This method provides consistently good spin assignment of TSD bands which could help in designing future experiments for these bands. In the present paper, we have reported the band-head spin for 20 triaxial super-deformed bands known experimentally. Out of 20 bands, the band-head spin is assigned correctly for 16 TSD bands which match with the suggested values and for the rest of the 4 TSD cases the spin predicted is either higher or lower than the experimentally suggested value.

References

  1. 1.
    R. Bengtsson et al., Phys. Lett. B 57, 301 (1975)ADSCrossRefGoogle Scholar
  2. 2.
    C.G. Andersson et al., Nucl. Phys. A 268, 205 (1976)ADSCrossRefGoogle Scholar
  3. 3.
    K. Nergaard, V.V. Pashkevich, Phys. Lett. B 59, 218 (1975)ADSCrossRefGoogle Scholar
  4. 4.
    K. Nergaard, V.V. Pashkevich, S. Frauendorf, Nucl. Phys. A 262, 61 (1976)ADSCrossRefGoogle Scholar
  5. 5.
    I. Ragnarsson, T. Bengtsson, G. Leander, S. Aberg, Nucl. Phys. A 347, 287 (1980)ADSCrossRefGoogle Scholar
  6. 6.
    The ENSDF and XUNDL database available on BNL website at https://doi.org/www.nndc.bnl.gov
  7. 7.
    B. Singh, R. Zywine, R.B. Firestone, Nucl. Data Sheets 97, 241 (2002)ADSCrossRefGoogle Scholar
  8. 8.
    I. Ragnarsson, S. Aberg, Phys. Lett. B 180, 191 (1986)ADSCrossRefGoogle Scholar
  9. 9.
    W. Koepf, P. Ring, Nucl. Phys. A 511, 279 (1990)ADSCrossRefGoogle Scholar
  10. 10.
    R.R. Chasman, Phys. Lett. B 319, 41 (1993)ADSCrossRefGoogle Scholar
  11. 11.
    M. Girod et al., Phys. Lett. B 325, 1 (1994)ADSCrossRefGoogle Scholar
  12. 12.
    B. Gall et al., Z. Phys. A 348, 183 (1994)ADSCrossRefGoogle Scholar
  13. 13.
    J. Terasaki et al., Nucl. Phys. A 593, 1 (1995)ADSCrossRefGoogle Scholar
  14. 14.
    A.V. Afanasjev et al., Nucl. Phys. A 608, 107 (1996)ADSCrossRefGoogle Scholar
  15. 15.
    W. Satula, R. Wyss, Phys. Rev. C 50, 2888 (1994)ADSCrossRefGoogle Scholar
  16. 16.
    R. Wyss, W. Satula, Phys. Lett. B 351, 393 (1995)ADSCrossRefGoogle Scholar
  17. 17.
    M.A.J. Mariscotti et al., Phys. Rev. 178, 1864 (1969)ADSCrossRefGoogle Scholar
  18. 18.
    A.K. Jain et al., Rev. Mod. Phys. 62, 393 (1990)ADSCrossRefGoogle Scholar
  19. 19.
    A.K. Jain, A. Goel, Int. J. Mod. Phys. E 02, 451 (1993)ADSCrossRefGoogle Scholar
  20. 20.
    A. Goel et al., Cent. Eur. J. Phys. 12, 693 (2014)Google Scholar
  21. 21.
    V.S. Uma, A. Goel, A. Yadav, A.K. Jain, Pramana J. Phys. 86, 185 (2016)ADSCrossRefGoogle Scholar
  22. 22.
    V.S. Uma, A. Goel, Eur. Phys. J. Plus 130, 117 (2015)CrossRefGoogle Scholar
  23. 23.
    Z.D. Li, L.J. Bo, C.H. Ping, Commun. Theor. Phys. 53, 121 (2010)ADSCrossRefGoogle Scholar
  24. 24.
    Z.C. Gao et al., Phys. Lett. B 634, 195 (2006)ADSCrossRefGoogle Scholar
  25. 25.
    J.A. Sheikh et al., Phys. Rev. C 77, 034313 (2008)ADSCrossRefGoogle Scholar
  26. 26.
    A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. II (Benjamin, Reading, MA, 1975)Google Scholar
  27. 27.
    D.G. Sarantites et al., Phys. Rev. C 57, R1 (1998)ADSCrossRefGoogle Scholar
  28. 28.
    Schmitz et al., Phys. Lett. B 303, 230 (1993)ADSCrossRefGoogle Scholar
  29. 29.
    S.W. Odegard et al., Phys. Rev. Lett. 86, 5866 (2001)ADSCrossRefGoogle Scholar
  30. 30.
    T. Lauritsen et al., Phys. Rev. Lett. 88, 042501 (2001)ADSCrossRefGoogle Scholar
  31. 31.
    A.S. Shalaby, Acta Phys. Hung. A 25, 117 (2006)CrossRefGoogle Scholar
  32. 32.
    A.S. Shalaby, Commun. Theor. Phys. 41, 454 (2004)ADSCrossRefGoogle Scholar
  33. 33.
    S.M. Harris, Phys. Rev. Lett. 13, 663 (1964)ADSCrossRefGoogle Scholar
  34. 34.
    S.M. Harris, Phys. Rev. B 138, 509 (1965)ADSCrossRefGoogle Scholar
  35. 35.
    C.S. Wu et al., Phys. Rev. C 45, 261 (1992)ADSCrossRefGoogle Scholar
  36. 36.
    C.S. Wu, Z.N. Zhou, Phys. Rev. C 56, 1814 (1997)ADSCrossRefGoogle Scholar
  37. 37.
    C.S. Wu, J.Y. Zeng, Commun. Theor. Phys. 8, 51 (1987)ADSCrossRefGoogle Scholar
  38. 38.
    P. Holmberg, P.O. Lipas, Nucl. Phys. A 117, 552 (1968)ADSCrossRefGoogle Scholar
  39. 39.
    Y. Sun et al., Phys. Rev. Lett. 83, 686 (1999)ADSCrossRefGoogle Scholar
  40. 40.
    Y. Sun et al., Phys. Rev. Lett. 78, 2321 (1997)ADSCrossRefGoogle Scholar
  41. 41.
    Y.X. Liu, J.G. Song, H.Z. Sun, E.G. Zhao, Phys. Rev. C 56, 1370 (1997)ADSCrossRefGoogle Scholar
  42. 42.
    Y.X. Liu, Phys. Rev. C 58, 237 (1998)ADSCrossRefGoogle Scholar
  43. 43.
    Y.X. Liu, Phys. Rev. C 58, 900 (1998)ADSCrossRefGoogle Scholar
  44. 44.
    Y.X. Liu, D. Sun, E.G. Zhao, Phys. Rev. C 59, 2511 (1998)ADSCrossRefGoogle Scholar
  45. 45.
    Y.X. Liu, D.F. Gao, Phys. Rev. C 63, 044317 (2001)ADSCrossRefGoogle Scholar
  46. 46.
    Y.X. Liu, D. Sun, J.J. Wang, E.G. Zhao, Phys. Rev. C 63, 054314 (2001)ADSCrossRefGoogle Scholar
  47. 47.
    Y.X. Liu, J.J. Wang, Q.Z. Han, Phys. Rev. C 64, 064320 (2001)ADSCrossRefGoogle Scholar
  48. 48.
    N. Sharma, H.M. Mittal, S. Kumar, A.K. Jain, Phys. Rev. C 87, 024322 (2013)ADSCrossRefGoogle Scholar
  49. 49.
    S. Kumar, Proc. Natl. Conf. Nucl. Phys. 03, 1 (2013)ADSGoogle Scholar
  50. 50.
    V.S. Uma, A. Goel, A.K. Jain, Proc. DAE Symp. Nucl. Phys. 57, 361 (2012)Google Scholar
  51. 51.
    M.U. Liang-Zhu, W.U. Chong-Shi, Commun. Theor. Phys. C 43, 719 (2005)ADSCrossRefGoogle Scholar

Copyright information

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

Authors and Affiliations

  • Poonam Jain
    • 1
  • V. S. Uma
    • 1
  • Alpana Goel
    • 1
    Email author
  • S. K. Mandal
    • 2
  1. 1.Amity Institute of Nuclear Science and TechnologyAmity UniversityNoidaIndia
  2. 2.Department of Physics and AstrophysicsUniversity of DelhiDelhiIndia

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