Advertisement

Isospin degree of freedom in even-even 68-76Ge and 62-70Zn isotopes

  • A. Jalili Majarshin
Regular Article - Theoretical Physics

Abstract.

The introduction of isotopic spin is significant in light nuclei as Ge and Zn isotopes in order to take into account isospin effects on energy spectra. Dynamical symmetries in spherical, \(\gamma\)-soft limits and transition in the interacting boson model IBM-3 are analyzed. Analytic expressions and exact eigenenergies, electromagnetic transitions probabilities are obtained for the transition between spherical and \(\gamma\)-soft shapes by using the Bethe ansatz within an infinite-dimensional Lie algebra in light mass nuclei. The corresponding algebraic structure and reduction chain are studied in IBM-3. For examples, the nuclear structure of the 68-76Ge and 62-70Zn isotopes is calculated in IBM-3 and compared with experimental results.

References

  1. 1.
    A. Arima, F. Iachello, Phys. Rev. Lett. 35, 1069 (1975)ADSCrossRefGoogle Scholar
  2. 2.
    A. Arima, F. Iachello, Ann. Phys. 99, 253 (1976)ADSCrossRefGoogle Scholar
  3. 3.
    F. Iachello, A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, 1987)Google Scholar
  4. 4.
    W. Pfeifer, An Introduction to the Interacting Boson Model of the Atomic Nucleus (Vdf Hochschulverlag AG an der ETH Zürich, 1998)Google Scholar
  5. 5.
    G. Puddu, O. Scholten, T. Otsuka, Nucl. Phys. A 348, 109 (1980)ADSCrossRefGoogle Scholar
  6. 6.
    P. Cejnar J. Jolie, Prog. Part. Nucl. Phys. 62, 210 (2009)ADSCrossRefGoogle Scholar
  7. 7.
    A. Jalili. Majarshin, H. Sabri, Nucl. Phys. A 964, 69 (2017)ADSCrossRefGoogle Scholar
  8. 8.
    A. De-Shalit, I. Talmi, Nuclear Shell Theory (Academic Press, 2013)Google Scholar
  9. 9.
    H. Harter, A. Gelberg, P. Von Brentano, Phys. Lett. B 157, 1 (1985)ADSCrossRefGoogle Scholar
  10. 10.
    M. Caprio, F. Iachello, Phys. Rev. Lett. 93, 242502 (2004)ADSCrossRefGoogle Scholar
  11. 11.
    P. Van Isacker, D. Warner, Phys. Rev. Lett. 78, 3266 (1997)ADSCrossRefGoogle Scholar
  12. 12.
    J. Zhang, X. Li, Y. Li, Nucl. Phys. A 951, 31 (2016)ADSCrossRefGoogle Scholar
  13. 13.
    L. Li-Jun, B. Hong-Bo, Z. Jin-Fu, D. Hong-Fei, Chin. Phys. C 38, 104102 (2014)ADSCrossRefGoogle Scholar
  14. 14.
    J. Elliott, J. Evans, V. Lac, G. Long, Nucl. Phys. A 609, 1 (1996)ADSCrossRefGoogle Scholar
  15. 15.
    J. Evans, G. Long, J. Elliott, Nucl. Phys. A 561, 201 (1993)ADSCrossRefGoogle Scholar
  16. 16.
    J. Evans, J. Elliott, V. Lac, G.-L. Long, Nucl. Phys. A 593, 85 (1995)ADSCrossRefGoogle Scholar
  17. 17.
    V. Lac, J. Elliott, J. Evans, G. Long, Nucl. Phys. A 587, 101 (1995)ADSCrossRefGoogle Scholar
  18. 18.
    V. Kota, Phys. Lett. B 399, 185 (1997)ADSCrossRefGoogle Scholar
  19. 19.
    V. Kota, Ann. Phys. 265, 101 (1998)ADSCrossRefGoogle Scholar
  20. 20.
    G. Long, C.-Y. Gan, T.-Y. Shen, Commun. Theor. Phys. 27, 317 (1997)ADSCrossRefGoogle Scholar
  21. 21.
    Z. Jin-Fu, B. Hong-Bo, Chin. Phys. 13, 1843 (2004)ADSCrossRefGoogle Scholar
  22. 22.
    M. Thompson, J. Elliott, J. Evans, Phys. Lett. B 195, 511 (1987)ADSCrossRefGoogle Scholar
  23. 23.
    E. Perlinska, S. Rohozinski, J. Dobaczewski, W. Nazarewicz, Phys. Rev. C 69, 014316 (2004)ADSCrossRefGoogle Scholar
  24. 24.
    I. Schneider, A. Lisetskiy, C. Frießner, R. Jolos, N. Pietralla, A. Schmidt, D. Weisshaar, P. Von Brentano, Phys. Rev. C 61, 044312 (2000)ADSCrossRefGoogle Scholar
  25. 25.
    J.E. Garcia-Ramos, J. Arias, J. Dukelsky, E.M. De Guerra, P. Van Isacker, Phys. Rev. C 57, R479 (1998)ADSCrossRefGoogle Scholar
  26. 26.
    J. Elliott, A. White, Phys. Lett. B 97, 169 (1980)ADSCrossRefGoogle Scholar
  27. 27.
    J. Zhang, L. Lü, H. Bai, M. Liang, Sci. China Ser. G: Phys. Mech. Astron. 51, 1845 (2008)ADSCrossRefGoogle Scholar
  28. 28.
    B. Hong-Bo, D. Hong-Fei, Z. Jin-Fu, L. Li-Jun, C. Wan-Cang, L. Xiao-Wei, W. Yin, Chin. Phys. C 33, 40 (2009)ADSCrossRefGoogle Scholar
  29. 29.
    H. Fortune, Phys. Rev. C 94, 024318 (2016)ADSCrossRefGoogle Scholar
  30. 30.
    M. Lettmann et al., Phys. Rev. C 96, 011301 (2017)ADSCrossRefGoogle Scholar
  31. 31.
    A. Ayangeakaa et al., Phys. Lett. B 754, 254 (2016)ADSCrossRefGoogle Scholar
  32. 32.
    C. Druce, J. McCullen, P. Duval, B. Barrett, J. Phys. G: Nucl. Phys. 8, 1565 (1982)ADSCrossRefGoogle Scholar
  33. 33.
    S. Salém-Vasconcelos, M. Bechara, J. Hirata, O. Dietzsch, Phys. Rev. C 38, 2439 (1988)ADSCrossRefGoogle Scholar
  34. 34.
    A. Passoja, R. Julin, J. Kantele, J. Kumpulainen, M. Luontama, W. Trzaska, Nucl. Phys. A 438, 413 (1985)ADSCrossRefGoogle Scholar
  35. 35.
    M. Koizumi et al., Nucl. Phys. A 730, 46 (2004)ADSCrossRefGoogle Scholar
  36. 36.
    C. Mihai et al., Phys. Rev. C 75, 044302 (2007)ADSCrossRefGoogle Scholar
  37. 37.
    R. Casten, Nat. Phys. 2, 811 (2006)CrossRefGoogle Scholar
  38. 38.
    P. Cejnar, J. Jolie, R.F. Casten, Rev. Mod. Phys. 82, 2155 (2010)ADSCrossRefGoogle Scholar
  39. 39.
    A. Jalili. Majarshin, M.A. Jafarizadeh, H. Sabri, Eur. Phys. J. Plus 132, 418 (2017)CrossRefGoogle Scholar
  40. 40.
    F. Pan, J. Draayer, Nucl. Phys. A 636, 156 (1998)ADSCrossRefGoogle Scholar
  41. 41.
    Y. Zhang, Y. Zuo, F. Pan, J. Draayer, Phys. Rev. C 93, 044302 (2016)ADSCrossRefGoogle Scholar
  42. 42.
    A. Jalili-Majarshin, M.A. Jafarizadeh, N. Fouladi, Eur. Phys. J. Plus 131, 1 (2016)CrossRefGoogle Scholar
  43. 43.
    F. Pan, D. Zhou, L. Dai, J. Draayer, Phys. Rev. C 95, 034308 (2017)ADSCrossRefGoogle Scholar
  44. 44.
    D. Rowe, M. Carvalho, J. Repka, Rev. Mod. Phys. 84, 711 (2012)ADSCrossRefGoogle Scholar
  45. 45.
    M. Caprio, P. Cejnar, F. Iachello, Ann. Phys. 323, 1106 (2008)ADSCrossRefGoogle Scholar
  46. 46.
    M. Caprio, F. Iachello, Nucl. Phys. A 781, 26 (2007)ADSCrossRefGoogle Scholar
  47. 47.
    M. Caprio, J. Skrabacz, F. Iachello, J. Phys. A: Math. Theor. 44, 075303 (2011)ADSCrossRefGoogle Scholar
  48. 48.
    A. Jalili. Majarshin, M. Jafarizadeh, Nucl. Phys. A 968, 287 (2017)CrossRefGoogle Scholar
  49. 49.
    M. Jafarizadeh, A. Jalili. Majarshin, N. Fouladi, M. Ghapanvari, J. Phys. G: Nucl. Part. Phys. 43, 95108 (2016)CrossRefGoogle Scholar
  50. 50.
    J. Garcia-Ramos, P. Van Isacker, Ann. Phys. 274, 45 (1999)ADSCrossRefGoogle Scholar
  51. 51.
    J. Evans, V. Lac, J. Elliott, Nucl. Phys. A 627, 71 (1997)ADSCrossRefGoogle Scholar
  52. 52.
    J.N. Ginocchio, Phys. Rev. Lett. 77, 28 (1996)ADSCrossRefGoogle Scholar
  53. 53.
    F. Pan, X. Zhang, J. Draayer, J. Phys. A: Math. Gen. 35, 7173 (2002)ADSCrossRefGoogle Scholar
  54. 54.
    M.A. Jafarizadeh, A. Jalili. Majarshin, N. Fouladi, Int. J. Mod. Phys. E 25, 1650089 (2016)ADSCrossRefGoogle Scholar
  55. 55.
    E. McCutchan, Nucl. Data Sheets 113, 1735 (2012)ADSCrossRefGoogle Scholar
  56. 56.
    G. Gürdal, E. McCutchan, Nucl. Data Sheets 136, 1 (2016)CrossRefGoogle Scholar
  57. 57.
    D. Abriola, A. Sonzogni, Nucl. Data Sheets 111, 1 (2010)ADSCrossRefGoogle Scholar
  58. 58.
    B. Singh, A.R. Farhan, Nucl. Data Sheets 107, 1923 (2006)ADSCrossRefGoogle Scholar
  59. 59.
    B. Singh, Nucl. Data Sheets 74, 63 (1995)ADSCrossRefGoogle Scholar
  60. 60.
    A.L. Nichols, B. Singh, J.K. Tuli, Nucl. Data Sheets 113, 973 (2012)ADSCrossRefGoogle Scholar
  61. 61.
    B. Singh, Nucl. Data Sheets 108, 197 (2007)ADSCrossRefGoogle Scholar
  62. 62.
    E. Browne, J. Tuli, Nucl. Data Sheets 111, 1093 (2010)ADSCrossRefGoogle Scholar
  63. 63.
    K. Heyde, J.L. Wood, Rev. Mod. Phys. 83, 1467 (2011)ADSCrossRefGoogle Scholar
  64. 64.
    K. Kumar, J. Phys. G: Nucl. Phys. 4, 849 (1978)ADSMathSciNetCrossRefGoogle Scholar
  65. 65.
    D. Ardouin, R. Tamisier, G. Berrier, J. Kalifa, G. Rotbard, M. Vergnes, Phys. Rev. C 11, 1649 (1975)ADSCrossRefGoogle Scholar
  66. 66.
    S. Iwasaki, T. Marumori, F. Sakata, K. Takada, Prog. Theor. Phys. 56, 1140 (1976)ADSCrossRefGoogle Scholar

Copyright information

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

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of TabrizTabrizIran

Personalised recommendations