Advertisement

Superdeformed band in the N = Z + 4 nucleus 40Ar : A projected shell model analysis

  • Ying-Chun Yang
  • Yan-Xin Liu
  • Yang SunEmail author
  • Mike Guidry
Regular Article - Theoretical Physics
  • 34 Downloads

Abstract.

40Ar is among the few sd -shell nuclei known to exhibit superdeformation. An interesting question is whether the experimentally identified superdeformed rotational band in 40Ar has an axially or triaxially deformed shape. Projected shell model calculations assuming an axially deformed basis are performed up to high spins for this nucleus. Our detailed analysis of the wave functions reveals that the high-spin states are dominated by mixed 0-, 2-, and 4-quasiparticle configurations with different K-components. The calculated electric quadrupole transition probabilities reproduce well the known experimental data and suggest a reduced but still significant collectivity in the high spin region. Due to the mixing of various multi-quasiparticle K-configurations, axial asymmetry emerges in the calculation. Throughout the entire rotational band, the extracted triaxial deformation parameters are small but non-zero. Relations of triaxiality and unnatural spin-parity states of the superdeformed side-band are discussed.

References

  1. 1.
    S. Frauendorf, Rev. Mod. Phys. 73, 463 (2001)ADSCrossRefGoogle Scholar
  2. 2.
    Y. Sun, J.-y. Zhang, G.-L. Long, C.-L. Wu, Chin. Sci. Bull. 54, 358 (2009)Google Scholar
  3. 3.
    P.J. Nolan, P.J. Twin, Annu. Rev. Nucl. Part. Sci. 38, 533 (1998)CrossRefGoogle Scholar
  4. 4.
    X.-L. Han, C.-L. Wu, At. Data Nucl. Data Tables 73, 43 (1999)ADSCrossRefGoogle Scholar
  5. 5.
    Y. Sun, J.-y. Zhang, M. Guidry, Phys. Rev. Lett. 78, 2321 (1997)ADSCrossRefGoogle Scholar
  6. 6.
    Y. Sun, J.-y. Zhang, M. Guidry, C.-L. Wu, Phys. Rev. Lett. 83, 686 (1999)ADSCrossRefGoogle Scholar
  7. 7.
    Y. Sun, J.-y. Zhang, M. Guidry, J. Meng, S. Im, Phys. Rev. C 62, 021601(R) (2000)ADSCrossRefGoogle Scholar
  8. 8.
    E. Ideguchi et al., Phys. Lett. B 686, 18 (2010)ADSCrossRefGoogle Scholar
  9. 9.
    J.A. Cameron, B. Singh, Nucl. Data Sheets 102, 293 (2004)ADSCrossRefGoogle Scholar
  10. 10.
    C.E. Svensson et al., Phys. Rev. Lett. 85, 2693 (2000)ADSCrossRefGoogle Scholar
  11. 11.
    E. Ideguchi et al., Phys. Rev. Lett. 87, 222501 (2001)ADSCrossRefGoogle Scholar
  12. 12.
    C.D. O`Leary et al., Phys. Rev. C 61, 064314 (2000)ADSCrossRefGoogle Scholar
  13. 13.
    C.E. Svensson et al., Phys. Rev. C 63, 061301(R) (2001)ADSCrossRefGoogle Scholar
  14. 14.
    G.-L. Long, Y. Sun, Phys. Rev. C 63, 021305(R) (2001)ADSCrossRefGoogle Scholar
  15. 15.
    H. Iwasaki et al., Phys. Lett. B 522, 227 (2001)ADSCrossRefGoogle Scholar
  16. 16.
    E.K. Warburton, J.A. Becker, B.A. Brown, Phys. Rev. C 41, 1147 (1990)ADSCrossRefGoogle Scholar
  17. 17.
    Y. Taniguchi et al., Phys. Rev. C 82, 011302(R) (2010)ADSCrossRefGoogle Scholar
  18. 18.
    A. Rubbia, Nucl. Phys. B 66, 436 (1998)CrossRefGoogle Scholar
  19. 19.
    M.-K. Cheoun, E. Ha, T. Kajino, Phys. Rev. C 83, 028801 (2011)ADSCrossRefGoogle Scholar
  20. 20.
    M.-K. Cheoun, E. Ha, T. Kajino, Eur. Phys. J. A 48, 137 (2012)ADSCrossRefGoogle Scholar
  21. 21.
    B.-N. Niu, E. Hiyama, H. Sagawa, S.-G. Zhou, Phys. Rev. C 89, 044307 (2014)ADSCrossRefGoogle Scholar
  22. 22.
    X.-R. Zhou, E. Hiyama, H. Sagawa, Phys. Rev. C 94, 024331 (2016)ADSCrossRefGoogle Scholar
  23. 23.
    K. Hara, Y. Sun, Int. J. Mod. Phys. E 4, 637 (1995)ADSCrossRefGoogle Scholar
  24. 24.
    Y. Sun, Phys. Scr. 91, 043005 (2016)ADSCrossRefGoogle Scholar
  25. 25.
    Y. Sun, M. Guidry, Phys. Rev. C 52, R2844 (1995)ADSCrossRefGoogle Scholar
  26. 26.
    Y. Sun, Eur. Phys. J. A 20, 133 (2004)ADSMathSciNetCrossRefGoogle Scholar
  27. 27.
    T. Inakura, S. Mizutori, M. Yamagami, K. Matsuyanagi, Nucl. Phys. A 710, 261 (2002)ADSCrossRefGoogle Scholar
  28. 28.
    A. Poves, Nucl. Phys. A 731, 339 (2004)ADSCrossRefGoogle Scholar
  29. 29.
    M. Oi, Phys. Rev. C 76, 044308 (2007)ADSCrossRefGoogle Scholar
  30. 30.
    M. Bender, H. Flocard, P.-H. Heenen, Phys. Rev. C 68, 044321 (2003)ADSCrossRefGoogle Scholar
  31. 31.
    T. Bengtsson, I. Ragnarsson, Nucl. Phys. A 436, 14 (1985)ADSCrossRefGoogle Scholar
  32. 32.
    E. Caurier, F. Nowacki, A. Poves, Phys. Rev. Lett. 95, 042502 (2005)ADSCrossRefGoogle Scholar
  33. 33.
    K. Hara, Y. Sun, Nucl. Phys. A 529, 445 (1991)ADSCrossRefGoogle Scholar
  34. 34.
    E.A. Stefanova et al., Phys. Rev. C 72, 014309 (2005)ADSCrossRefGoogle Scholar
  35. 35.
    A.E. Stuchbery et al., Phys. Rev. C 74, 054307 (2006)ADSCrossRefGoogle Scholar
  36. 36.
    K.H. Speidel et al., Phys. Rev. C 78, 017304 (2008)ADSCrossRefGoogle Scholar
  37. 37.
    P. Ring, A. Hayashi, K. Hara, H. Emling, E. Grosse, Phys. Lett. B 110, 423 (1982)ADSCrossRefGoogle Scholar
  38. 38.
    C.A. Davis, Phys. Rev. C 20, 38 (1979)ADSCrossRefGoogle Scholar
  39. 39.
    E. Bitterwolf et al., Z. Phys. A 313, 123 (1983)ADSCrossRefGoogle Scholar
  40. 40.
    Y. Sun, K. Hara, J.A. Sheikh, J. Hirsch, V. Velazquez, M. Guidry, Phys. Rev. C 61, 064323 (2000)ADSCrossRefGoogle Scholar
  41. 41.
    J.A. Sheikh, G.H. Bhat, Y. Sun, G.B. Vakil, R. Palit, Phys. Rev. C 77, 034313 (2008)ADSCrossRefGoogle Scholar
  42. 42.
    K. Hara, Y. Sun, T. Mizusaki, Phys. Rev. Lett. 83, 1922 (1999)ADSCrossRefGoogle Scholar

Copyright information

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

Authors and Affiliations

  • Ying-Chun Yang
    • 1
  • Yan-Xin Liu
    • 2
  • Yang Sun
    • 1
    • 3
    • 4
    Email author
  • Mike Guidry
    • 5
  1. 1.School of Physics and AstronomyShanghai Jiao Tong UniversityShanghaiChina
  2. 2.School of ScienceHuzhou UniversityHuzhouChina
  3. 3.Collaborative Innovation Center of IFSAShanghai Jiao Tong UniversityShanghaiChina
  4. 4.Institute of Modern PhysicsChinese Academy of SciencesLanzhouChina
  5. 5.Department of Physics and AstronomyUniversity of TennesseeKnoxvilleUSA

Personalised recommendations