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Reduced probabilities for E2 transitions between excited collective states of triaxial even–even nuclei

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  • Theory
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Abstract

Reduced probabilities for intra- and interband E2 transitions in excited collective states of even–even lanthanide and actinide nuclei are analyzed on the basis of a model that admits an arbitrary triaxiality. They are studied in detail in the energy spectra of 154Sm, 156Gd, 158Dy, 162,164Er, 230,232Th, and 232,234,236,238U even–even nuclei. Theoretical and experimental values of the reduced probabilities for the respective E2 transitions are compared. This comparison shows good agreement for all states, including high-spin ones. The ratios of the reduced probabilities for the E2 transitions in question are compared with results following from the Alaga rules. These comparisons make it possible to assess the sensitivity of the probabilities being considered to the presence of quadrupole deformations.

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References

  1. Y. Toh et al., Eur. Phys. J. A 9, 353 (2000).

    Article  ADS  Google Scholar 

  2. M. Hasegawa, K. Kaneko, and T. Mizusaki, Phys. Rev. C 71, 044301 (2005).

    Article  ADS  Google Scholar 

  3. Lu Guo, J. A. Maruhn, and P.-G. Reinhard, Phys. Rev. C 76, 034317 (2007).

    Article  ADS  Google Scholar 

  4. G. Rosensteel and D. J. Rowe, Ann. Phys. (N. Y.) 104, 134 (1977).

    Article  ADS  Google Scholar 

  5. L. Fortunato, Eur. Phys. J. A 26, 1 (2005).

    Article  ADS  Google Scholar 

  6. M. S. Nadirbekov and G. A. Yuldasheva, Int. J. Mod. Phys. E 23, 1450034 (2014).

    Article  ADS  Google Scholar 

  7. A. Bohr and B. Mottelson, Nuclear Structure, vol. 2: Nuclear Deformations (Benjamin, New York, 1975).

    Google Scholar 

  8. A. S. Davydov, Excited States of Atomic Nuclei (Atomizdat, Moscow, 1967) [in Russian].

    Google Scholar 

  9. D. Bonatsos et al., Phys. Rev. C 83, 044321 (2011).

    Article  ADS  Google Scholar 

  10. D. Bonatsos et al., Phys. Rev. C 88, 034316 (2013).

    Article  ADS  Google Scholar 

  11. I. Boztosun, D. Bonatsos, and I. Inci, Phys. Rev. C 77, 044302 (2008).

    Article  ADS  Google Scholar 

  12. S. De Baerdemacker, L. Fortunato, V. Hellemans, and K. Heyde, Nucl. Phys. A 769, 16 (2006).

    Article  ADS  Google Scholar 

  13. L. Fortunato, Phys. Rev. C 70, 011302(R) (2004).

    Article  ADS  Google Scholar 

  14. L. Fortunato, S. de Baerdemacker, and K. Heyde, Phys. Rev. C 74, 014310 (2006).

    Article  ADS  Google Scholar 

  15. L. Fortunato and A. Vitturi, J. Phys. G 30, 627 (2004).

    Article  ADS  Google Scholar 

  16. M. A. Caprio, Phys. Lett. B 672, 396 (2009).

    Article  ADS  Google Scholar 

  17. G. Thiamova, Eur. Phys. J. A 45, 81 (2010).

    Article  ADS  Google Scholar 

  18. Evaluated and Compiled Nuclear Structure Data: ENSDF and XUNDL Dataset Retrieval. http://www.nndc.bnl.gov/ensdf/.

  19. Sh. Sharipov and M. S. Nadyrbekov, Bull. Russ. Acad. Sci.: Phys. 59, 1912 (1995).

    Google Scholar 

  20. A. S. Davydov and V. S. Rostovsky, Nucl. Phys. 12, 58 (1959).

    Article  Google Scholar 

  21. Dennis Bonatsos, P. E. Georgoudis, D. Lenis, et al., arXiv: 1103.5935v1 [nucl-th].

  22. G. Alaga et al., Mat. Fys. Medd. Dan. Vid. Selsk. 29 (9) (1955).

    Google Scholar 

  23. R. M. Diamond, G. D. Symons, J. L. Quebert, et al., Nucl. Phys. A 184, 481 (1972).

    Article  ADS  Google Scholar 

  24. N. R. Johnson, M. W. Guidry, R. J. Sturm, et al., Phys. Rev. C 22, 2416 (1980).

    Article  ADS  Google Scholar 

  25. Y. Yoshizawa, B. Elbek, B. Herskind, and M. C. Olesen, Nucl. Phys. 73, 273 (1965).

    Article  Google Scholar 

  26. J. M. D’Auria, D. Ostrom, and S. C. Gujrathi, Nucl. Phys. A 178, 172 (1971).

    Article  ADS  Google Scholar 

  27. S. A. Elbakr, I. J. van Heerden, B. C. Robertson, et al., Nucl. Phys. A 211, 493 (1973).

    Article  ADS  Google Scholar 

  28. H. Yamamoto, K. Kawade, H. F. Pukaya and T. Katoh, J. Phys. Soc. Jpn. 37, 10 (1974).

    Article  ADS  Google Scholar 

  29. V. A. Morozov, T. M. Muminov, and A. B. Khalikulov, Preprint No. P6-5201 JINR (Joint Inst. Nucl. Res., Dubna, 1970).

    Google Scholar 

  30. D. R. Zolnowski, H. Yamada, S. E. Cala, et al., Phys. Rev. Lett. 41, 92 (1978).

    Article  ADS  Google Scholar 

  31. A. A. Aleksandrov, G.-Yu. Baier, Ts. Vylov, et al., Bull. Acad. Sci. USSR, Phys. Ser. 39, 80 (1975).

    Google Scholar 

  32. R. Graetzer, G. B. Hagemann, K. A. Hagemann, and B. Elbek, Nucl. Phys. 76, 1 (1966).

    Article  Google Scholar 

  33. A. A. Abdurazakov, Ya. Vrzal, K. Ya. Gromov, et al., Bull. Acad. Sci. USSR, Phys. Ser. 32, 688 (1969).

    Google Scholar 

  34. N. Rud, G. T. Ewan, A. Christy, et al., Nucl. Phys. A 191, 545 (1972).

    Article  ADS  Google Scholar 

  35. D. Ward, R. L. Graham, J. S. Geiger, et al., Nucl. Phys. A 196, 9 (1972).

    Article  ADS  Google Scholar 

  36. D. Vard, Kh. R. Endryus, R. L. Grekhem et al., Bull. Acad. Sci. USSR, Phys. Ser. 39, 36 (1975).

    Google Scholar 

  37. S. H. Sie, D. Ward, J. S. Geiger, et al., Nucl. Phys. A 291, 443 (1977).

    Article  ADS  Google Scholar 

  38. N. Rud, H. L. Nielsen and K. Wilsky, Nucl. Phys. A 167, 401 (1971).

    Article  ADS  Google Scholar 

  39. J. Konijn, F. W. N. de Boer, A. van Poelgeest, et al., Nucl. Phys. A 352, 191 (1981).

    Article  ADS  Google Scholar 

  40. D. J. McMilan, J. H. Hamilton, and J. J. Pinajian, Phys. Rev. C 4, 542 (1971).

    Article  ADS  Google Scholar 

  41. J. H. Hamilton, P. E. Little, A. V. Ramayya, et al., Phys. Rev. C 5, 899 (1972).

    Article  ADS  Google Scholar 

  42. A. F. Kluk, N. R. Johnson, and J. H. Hamilton, Z. Phys. 253, 1 (1972).

    Article  ADS  Google Scholar 

  43. T. A. Siddiqi, F. P. Cranston, and D. H. White, Nucl. Phys. A 179, 609 (1972).

    Article  ADS  Google Scholar 

  44. F. K. McGowan and W. T. Milner, Phys. Rev. C 23, 1926 (1981).

    Article  ADS  Google Scholar 

  45. Y. Iwata, J. Phys. Soc. Jpn. 49, 2114 (1980).

    Article  ADS  Google Scholar 

  46. A. Bäcklin, G. Hedin, B. Fogelberg, et al., Nucl. Phys. A 380, 189 (1982).

    Article  ADS  Google Scholar 

  47. V. Bjorn, Acta Univ. Uppsal. Uppsala Diss., Fac. Sci. 22, 1 (1987).

    Google Scholar 

  48. N. F. Peek, Phys. Rev. C 2, 587 (1970).

    Article  ADS  Google Scholar 

  49. P. T. Prokof’ev and G. L. Rezvaya, Bull. Acad. Sci. USSR, Phys. Ser. 34, 625 (1971).

    Google Scholar 

  50. J. Řikovská, A. Macheva, W. D. Hamilton, et al., Czech. J. Phys. B 29, 620 (1979).

    Article  ADS  Google Scholar 

  51. M. Fujioka, Nucl. Phys. A 153, 337 (1970).

    Article  ADS  Google Scholar 

  52. F. W. N. de Boer, P. F. A. Goudsmit, B. J. Meijer, et al., Nucl. Phys. A 236, 349 (1974).

    Article  ADS  Google Scholar 

  53. T. J. Humanic, J. X. Saladin, J. G. Alessi, and A. Hussein, Phys. Rev. C 27, 550 (1983).

    Article  ADS  Google Scholar 

  54. R. Janssens, Y. El Masri, J. M. Ferté, et al., Nucl. Phys. A 283, 493 (1977).

    Article  ADS  Google Scholar 

  55. I. Ben-Zvi, A. E. Blaugrund, Y. Dar, et al., Nucl. Phys. A 117, 625 (1968).

    Article  ADS  Google Scholar 

  56. B. Sethi and S. K. Mukherjee, Phys. Rev. 166, 1227 (1968).

    Article  ADS  Google Scholar 

  57. G. D. Dracoulis, in Proceedings of the International Conference on Nuclear Physics, Munich, 1973, Vol. 1, p. 299.

    Google Scholar 

  58. F. Kearns, G. D. Dracoulis, T. Inamura, et al., J. Phys. A 7, L11 (1974).

    Article  ADS  Google Scholar 

  59. S. W. Yates, I. Y. Lee, N. R. Johnson, et al., Phys. Rev. C 21, 2366 (1980).

    Article  ADS  Google Scholar 

  60. I. Adam, Z. Khans, K. Ya. Gromov et al., Izv. AN SSSR, Ser. Fiz. 51, 834 (1987).

    Google Scholar 

  61. Ya. Vrzal, K. Ya. Gromov, Ya. Liptak et al., Bull. Acad. Sci. USSR, Phys. Ser. 31, 599 (1968).

    Google Scholar 

  62. F. W. N. de Boer, P. F. A. Goudsmit, et al., Nucl. Phys. A 169, 577 (1971).

    Article  ADS  Google Scholar 

  63. F. K. McGowan, W. T. Milner, R. L. Robinson, et al., Nucl. Phys. A 297, 51 (1978).

    Article  ADS  Google Scholar 

  64. W. R. Nesl and H. W. Kraner, Phys. Rev. 137, B1164 (1965).

    Article  ADS  Google Scholar 

  65. W. Kurcewicz et al., Report INR-P-1251 (Warszawa, 1970).

    Google Scholar 

  66. T. Valkeapää, J. Heinonen, and G. Graeffe, Phys. Scr. 5, 119 (1972).

    Article  ADS  Google Scholar 

  67. J. Gerl, Th. W. Elze, H. Ower, et al., Phys. Rev. C 29, 1684 (1984).

    Article  ADS  Google Scholar 

  68. W. Lourens, B. O. Ten Brink, and A. H. Wapstra, Nucl. Phys. A 152, 463 (1970).

    Article  ADS  Google Scholar 

  69. M. W. Guidry, P. A. Butler, P. Colombani, et al., Nucl. Phys. A 266, 228 (1976).

    Article  ADS  Google Scholar 

  70. F. K. McGowan et al., in Proceedins of International Conference on Radioactivity in Nuclear Spectroscopy, Nashville, Tennessee, 1972, p. 1039.

    Google Scholar 

  71. F. K. McGowan and P. H. Stelson, Phys. Rev. 120, 1803 (1960).

    Article  ADS  Google Scholar 

  72. S. Bjørnholm, F. Boehm, A. B. Knutsen, and O. B. Nielsen, Nucl. Phys. 42, 469 (1963).

    Article  Google Scholar 

  73. F. Kaczarowski et al., Report INR-P-1232 (Warszawa, 1970).

    Google Scholar 

  74. L. Varnell, Nucl. Phys. A 144, 429 (1970).

    Article  ADS  Google Scholar 

  75. A. Charvet, R. Chéry, R. Duffait, et al., Nucl. Phys. A 213, 117 (1973).

    Article  ADS  Google Scholar 

  76. A. H. Wapstra, Nucl. Phys. A 97, 641 (1967).

    Article  ADS  Google Scholar 

  77. C. Ardisson-Marsol and G. Ardisson, Phys. Rev. C 28, 1334 (1983).

    Article  ADS  Google Scholar 

  78. C. Ardisson, J. Dalmasso and G. Ardisson, Phys. Rev. C 33, 2132 (1986).

    Article  ADS  Google Scholar 

  79. S. Bjørnholm, J. Dubois, and B. Elbek, Nucl. Phys. A 118, 241 (1968).

    Article  ADS  Google Scholar 

  80. H. Ton, W. Beens, S. Roodbergen, and J. Block, Nucl. Phys. A 155, 235 (1970).

    Article  ADS  Google Scholar 

  81. M. W. Guidry, R. J. Sturm, N. R. Johnson, et al., Phys. Rev. C 13, 1164 (1976).

    Article  ADS  Google Scholar 

  82. J. G. Alessi, J. X. Saladin, C. Baktash, and T. Humanic, Phys. Rev. C 23, 79 (1981).

    Article  ADS  Google Scholar 

  83. P. O. Hess, M. Seiwert, J. Maruhn and W. Greiner, Z. Phys. A 296, 147 (1980).

    Article  ADS  MathSciNet  Google Scholar 

  84. M. J. Zender, C. E. Bemis, and M. R. Schmorak, Bull. Am. Phys. Soc. 15, 1650 (1970).

    Google Scholar 

  85. A. S. Davydov and A. A. Chaban, Nucl. Phys. 20, 499 (1960).

    Article  Google Scholar 

  86. F. Becker et al., Nucl. Phys. A 770, 107 (2006).

    Article  ADS  Google Scholar 

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Correspondence to M. S. Nadyrbekov.

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Original Russian Text © M.S. Nadyrbekov, O.A. Bozarov, 2017, published in Yadernaya Fizika, 2017, Vol. 80, No. 1, pp. 48–62.

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Nadyrbekov, M.S., Bozarov, O.A. Reduced probabilities for E2 transitions between excited collective states of triaxial even–even nuclei. Phys. Atom. Nuclei 80, 46–59 (2017). https://doi.org/10.1134/S1063778816050148

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