Physics of Atomic Nuclei

, Volume 72, Issue 8, pp 1272–1284 | Cite as

Cluster models of light nuclei and the method of hyperspherical harmonics: Successes and challenges

  • B. V. Danilin
  • N. B. Shul’gina
  • S. N. Ershov
  • J. S. Vaagen
  • RNBT (Russian-Nordic-British Theory) Collaboration
Nuclei Theory

Abstract

Hyperspherical-harmonics method to investigate the lightest nuclei having three-cluster structure is discussed together with recent experiments. Properties of bound states and methods to explore three-body continuum are presented. The challenges created by large neutron excess and halo phenomena are highlighted. Astrophysical aspects of the 7Li + n8Li + γ reaction and the solar-boron-neutrinos problem are analyzed. Three-cluster structure of highly excited states in 8Be is shown to be responsible for extreme isospin mixing. Progress in studies of 6He- and 11Li-induced inclusive and exclusive nuclear reactions is demonstrated, providing information on the nature of continuum structures of Borromean nuclei.

PACS numbers

21.45.+v 21.60.Gx 24.10.-i 27.20.+n 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    B. V. Danilin, M. V. Zhukov, A. A. Korsheninnikov, and L. V. Chulkov, Sov. J. Nucl.Phys. 53, 45 (1991).Google Scholar
  2. 2.
    B.V. Danilin, M.V. Zhukov, S. N. Ershov, et al., Phys. Rev. C 43, 2835 (1991).CrossRefADSGoogle Scholar
  3. 3.
    M. V. Zhukov, B. V. Danilin, D. V. Fedorov, et al., Phys. Rep. 231, 151 (1993).CrossRefADSGoogle Scholar
  4. 4.
    A. A. Korsheninnikov, B. V. Danilin, and M. V. Zhukov, Nucl. Phys. A 559, 208 (1993).CrossRefADSGoogle Scholar
  5. 5.
    N. B. Shul’gina, B.V. Danilin, L. V. Grigorenko, et al., Phys. Rev. C 62, 014312 (2000).Google Scholar
  6. 6.
    L. V. Grigorenko, N. B. Shul’gina, and B. V. Danilin, Nucl. Phys. A 671, 136 (2000).CrossRefADSGoogle Scholar
  7. 7.
    N. B. Shul’gina, B. V. Danilin, V. D. Efros, J. M. Bang, J. S. Vaagen, and M. V. Zhukov, Nucl. Phys. A 597, 197 (1996).CrossRefADSGoogle Scholar
  8. 8.
    L. V. Grigorenko, B. V. Danilin, V. D. Efros, N. B. Shul’gina, and M. V. Zhukov, Phys. Rev. C 57, R2099 (1998).CrossRefADSGoogle Scholar
  9. 9.
    A. L. Barabanov, Yu. V. Gaponov, B. V. Danilin, and N. B. Shul’gina, Phys. At. Nucl. 59, 1871 (1996).Google Scholar
  10. 10.
    R. A. Malaney and W. A. Fowler, Astrophys. J. 333, 14 (1988).CrossRefADSGoogle Scholar
  11. 11.
    M. Wiescher et al., Astrophys. J. 344, 464 (1989); Y. Nagai et al., Astrophys. J. 381, 444 (1991).CrossRefADSGoogle Scholar
  12. 12.
    I. Tanihata, H. Hamagaki, O. Hashimoto, et al., Phys. Lett. B 160, 380 (1985).CrossRefADSGoogle Scholar
  13. 13.
    P. G. Hansen and B. Jonson, Europhys. Lett. 4, 409 (1987).CrossRefADSGoogle Scholar
  14. 14.
    V. M. Efimov, Comments Nucl. Part. Phys. 19, 271 (1990).Google Scholar
  15. 15.
    L. H. Thomas, Phys. Rev. 47, 903 (1935).MATHCrossRefADSGoogle Scholar
  16. 16.
    L. V. Grigorenko, I. G. Mukha, and M. V. Zhukov, Nucl. Phys. A 713, 372 (2003); Nucl. Phys. A 740, 401 (2004); L. V. Grigorenko, and M. V. Zhukov, Phys. Rev. C 68, 054005 (2003).CrossRefADSGoogle Scholar
  17. 17.
    K. Miernik et al., Phys. Rev. Lett. 99, 192501 (2007); I. Mukha et al., Phys. Rev. C 77, 061303(R) (2008).Google Scholar
  18. 18.
    T. Aumann et al., Phys. Rev. C 59, 1252 (1999).CrossRefADSGoogle Scholar
  19. 19.
    L. V. Chulkov et al., Nucl. Phys. A 759, 23 (2005).CrossRefADSGoogle Scholar
  20. 20.
    N. A. Orr, arXiv:0803.0886 [nucl-ex].Google Scholar
  21. 21.
    K. Ieki et al., Phys. Rev. Lett. 70, 730 (1993); D. Sackett et al., Phys.Rev.C 48, 118 (1993).CrossRefADSGoogle Scholar
  22. 22.
    F. Shimoura et al., Phys. Lett. B 348, 29 (1995).CrossRefADSGoogle Scholar
  23. 23.
    M. Zinser et al., Nucl. Phys. A 619, 151 (1997).CrossRefADSGoogle Scholar
  24. 24.
    T. Nakamura et al., Phys. Rev. Lett. 96, 252502 (2006).Google Scholar
  25. 25.
    H. Simon et al., Phys. Rev. Lett. 83, 496 (1999).CrossRefADSGoogle Scholar
  26. 26.
    J. Bang and C. Gignoux, Nucl. Phys. A 313, 119 (1979).CrossRefADSGoogle Scholar
  27. 27.
    V. I. Kukulin et al., Nucl. Phys. A 586, 151 (1995).CrossRefADSGoogle Scholar
  28. 28.
    S. Funada, H. Kameyama, and Y. Sakuragi, Nucl. Phys. A 575, 93 (1994).CrossRefADSGoogle Scholar
  29. 29.
    Yu.A. Lurie, A.M. Shirokov, and Yu.F. Smirnov, Rev. Mex. Fis. 40(Suppl. 1), 63 (1994); Yu. A. Lurie and A. M. Shirokov, Bull. Russ. Acad. Sci., Phys. Ser. 61, 1665 (1997).Google Scholar
  30. 30.
    D. V. Fedorov, A. S. Jensen, and K. Riisager, Phys. Rev. C 50, 2372 (1994).CrossRefADSGoogle Scholar
  31. 31.
    A. Csótó, Phys. Lett. B 315, 24 (1993); Phys. Rev. C 48, 165 (1993); 49, 3035, 2244 (1994).CrossRefADSGoogle Scholar
  32. 32.
    K. Arai, Y. Suzuki, and K. Varga, Phys. Rev. C 51, 2488 (1995).CrossRefADSGoogle Scholar
  33. 33.
    J. Wurzer and H.M. Hofmann, Phys. Rev.C 55, 688 (1997).CrossRefADSGoogle Scholar
  34. 34.
    G. F. Filippov, I. Yu. Rybkin, S. V. Korennov, and K. Kato, J.Math. Phys. 36, 4571 (1995).MATHCrossRefADSMathSciNetGoogle Scholar
  35. 35.
    D. Baye, Y. Suzuki, and P. Descouvemont, Prog. Theor. Phys. 91, 271 (1994).CrossRefADSGoogle Scholar
  36. 36.
    S. Saito, Prog. Theor. Phys. 41, 705 (1969).CrossRefADSGoogle Scholar
  37. 37.
    D. Baye, Phys. Rev. Lett. 58, 2738 (1987).CrossRefADSGoogle Scholar
  38. 38.
    B. S. Pudliner et al., Phys. Rev. C 56, 1720 (1997); R. B. Wiringa, Nucl. Phys. A 631, 70c (1998).CrossRefADSGoogle Scholar
  39. 39.
    P. Navratil, J. P. Very, and B. R. Barrett, Phys. Rev. Lett. 84, 5728 (2000).CrossRefADSGoogle Scholar
  40. 40.
    T. Neff and H. Feldmeier, Eur. Phys. J., Special Topics 156, 69 (2008).CrossRefADSGoogle Scholar
  41. 41.
    F. Coester and H. Kümmel, Nucl. Phys. 17, 477 (1960); G. Hagen et al., Phys. Lett. B 656, 169 (2007); J. S. Vaagen et al., in Proc. of the Intern. School of Physics Enrico Fermi, Course CLXIX, Nuclear Structure far from Stability: New Physics and New Technology, Ed. by A. Covello, F. Iachello, R. A. Ricci, and G. Maino (IOS Press, Amsterdam, SIF, Bologna, 2008), p. 237.MATHCrossRefGoogle Scholar
  42. 42.
    B. V. Danilin, Izv. Akad. Nauk SSSR, Ser. Fiz. 54, 2212 (1990).Google Scholar
  43. 43.
    B. V. Danilin and M. V. Zhukov, Phys. At. Nucl. 56, 460 (1993); B. V. Danilin, I. J. Thompson, M. V. Zhukov, and J. S. Vaagen, Nucl. Phys. A 632, 383 (1998).Google Scholar
  44. 44.
    E. Garrido, D. V. Fedorov, and A. S. Jensen, Nucl. Phys. A 617, 153 (1997).CrossRefADSGoogle Scholar
  45. 45.
    G. F. Filippov, Phys. At. Nucl. 62, 1164 (1999).Google Scholar
  46. 46.
    S. Aoyama, S. Mukai, K. Kato, and K. Ikeda, Prog. Theor. Phys. 93, 99 (1995); 94, 343 (1995); K. Kato, S. Aoyama, S. Mukai, and K. Ikeda, Nucl. Phys. A 588, 29c (1995).CrossRefADSGoogle Scholar
  47. 47.
    J. S. Al-Khalili, J. A. Tostevin, and I. J. Thompson, Phys. Rev. C 54, 1843 (1996); J. A. Tostevin and J. S. Al-Khalili, Nucl. Phys. A 616, 418c (1997).CrossRefADSGoogle Scholar
  48. 48.
    S.N. Ershov, T. Rogde, B.V. Danilin, et al., Phys. Rev. C 56, 1483 (1997).CrossRefADSGoogle Scholar
  49. 49.
    S. N. Ershov, B. V. Danilin, and J. S. Vaagen, Phys. Rev. C 64, 064609 (2001).Google Scholar
  50. 50.
    S. N. Ershov, B. V. Danilin, and J. S. Vaagen, Phys. Rev. C 74, 014603 (2006).Google Scholar
  51. 51.
    A. Csótó, Phys. Rev. C 48, 165 (1993); A. Csótó and G. M. Hale, Phys. Rev. C 55, 536 (1997).CrossRefADSGoogle Scholar
  52. 52.
    K. Arai, Y. Suzuki, and R. G. Lovas, Phys.Rev.C 59, 1432 (1999).CrossRefADSGoogle Scholar
  53. 53.
    I. J. Thompson, B. V. Danilin, V. D. Efros, et al., Phys.Rev. C 61, 024318 (2000).Google Scholar
  54. 54.
    B. V. Danilin, S. N. Ershov, and J. S. Vaagen, Phys.Rev. C 71, 057301 (2005).Google Scholar
  55. 55.
    L.-B. Wang et al., Phys. Rev. Lett. 93, 142501 (2004).Google Scholar
  56. 56.
    L. V. Chulkov et al., Europhys. Lett. 8, 245 (1989).CrossRefADSGoogle Scholar
  57. 57.
    I. J. Thompson and M. V. Zhukov, Phys. Rev. C 49, 1904 (1994).CrossRefADSGoogle Scholar
  58. 58.
    M. Zinser et al., Phys. Rev. Lett. 75, 1719 (1995).CrossRefADSGoogle Scholar
  59. 59.
    M. Thoennessen, S. Yokoyama, A. Azhari, et al., Phys. Rev. C 59, 111 (1999).CrossRefADSGoogle Scholar
  60. 60.
    J. Wurzer, H.M. Hofmann, et al., Z. Phys. A 354, 135 (1996).ADSGoogle Scholar
  61. 61.
    P. Descouvemont, Nucl. Phys. A 626, 647 (1997).CrossRefADSGoogle Scholar
  62. 62.
    N. A. Orr et al., Phys. Rev. Lett. 69, 2050 (1992).CrossRefADSGoogle Scholar
  63. 63.
    I. Tanihata, T. Kobayashi, O. Yamakawa, et al., Phys. Lett. B 206, 592 (1988).CrossRefADSGoogle Scholar
  64. 64.
    M. J. G. Borge et al., Phys. Rev. C 55, R8 (1997).CrossRefADSGoogle Scholar
  65. 65.
    A. I. Baz’ and S. P. Merkuriev, Theor.Math. Phys. 27, 336 (1976).CrossRefGoogle Scholar
  66. 66.
    A. I. Baz’, Zh.Éksp. Teor. Fiz. 70, 397 (1976) [Sov. Phys. JETP 43, 205 (1976)].Google Scholar
  67. 67.
    B. V. Danilin et al., Phys. Rev. C 69, 024609 (2004).Google Scholar
  68. 68.
    B. V. Danilin, J. S. Vaagen, T. Rogde, S. N. Ershov, et al., Phys. Rev. C 73, 054002 (2006).Google Scholar
  69. 69.
    Yu. Ts. Oganessian, V. I. Zagrebaev, and J. S. Vaagen, Phys. Rev. C 60, 044605 (1999).Google Scholar
  70. 70.
    B. V. Danilin, J. S. Vaagen, T. Rogde, S. N. Ershov, et al., Phys. Rev. C 76, 064612 (2007).Google Scholar
  71. 71.
    A. A. Korsheninnikov et al., Phys. Rev. C 53, R537 (1996).CrossRefADSGoogle Scholar
  72. 72.
    H. G. Bohlen et al., Z. Phys. A 351, 7 (1995).CrossRefADSGoogle Scholar
  73. 73.
    S. N. Ershov, B. V. Danilin, and J. S. Vaagen, Phys. Rev. C 72, 044606 (2005).Google Scholar
  74. 74.
    A. A. Korsheninnikov et al., Phys. Rev. Lett. 78, 2317 (1997).CrossRefADSGoogle Scholar
  75. 75.
    R. Crespo, I. J. Thompson, and A. A. Korsheninnikov, Phys. Rev. C 66, 021002(R) (2002).Google Scholar
  76. 76.
    S. N. Ershov, B. V. Danilin, J. S. Vaagen, et al., Phys. Rev. C 70, 054608 (2004).Google Scholar
  77. 77.
    M. V. Zhukov, L. V. Chulkov, D. V. Fedorov, et al., J. Phys. G 20, 201 (1994).CrossRefADSGoogle Scholar
  78. 78.
    S. N. Ershov, B. V. Danilin, T. Rogde, and J. S. Vaagen, Phys. Rev. Lett. 82, 908 (1999).CrossRefADSGoogle Scholar
  79. 79.
    V. D. Efros and J. M. Bang, Eur. Phys. J. A 4, 33 (1999).CrossRefADSGoogle Scholar
  80. 80.
    I. Tanihata et al., Phys. Lett. B 289, 261 (1992).CrossRefADSGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  • B. V. Danilin
    • 1
  • N. B. Shul’gina
    • 1
  • S. N. Ershov
    • 2
  • J. S. Vaagen
    • 3
  • RNBT (Russian-Nordic-British Theory) Collaboration
  1. 1.Russian Research Centre Kurchatov InstituteMoscowRussia
  2. 2.Joint Institute for Nuclear ResearchDubnaRussia
  3. 3.Institute of Physics and TechnologyUniversity of BergenBergenNorway

Personalised recommendations