Advertisement

Single α-particle orbits and Bose-Einstein condensation in 12C

  • T. YamadaEmail author
  • P. Schuck
Original Article

Abstract.

Bosonic properties of α particles such as single-α orbits and occupation numbers in Jπ = 0+, 2+, 1- and 3- states of 12C around the 3α threshold are investigated with the semi-microscopic 3α cluster model. As in other studies, we found that the 0+2 (2+2) state has dilute-3α-condensate-like structure in which the α particle is occupied in the single S (D) orbit with about 70% (80%) probability. The radial behaviors of the single-α orbits as well as the occupation numbers are discussed in detail in comparison with those for the 0+1 and 2+1 states together with the 1-1 and 3-1 states.

PACS.

21.10.Dr Binding energies and masses 21.10.Gv Mass and neutron distributions 21.60.Gx Cluster models 03.75.Hh Static properties of condensates; thermodynamical, statistical and structural properties 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    K. Wildermuth, Y.C. Tang, A Unified Theory of the Nucleus (Vieweg, Braunschweig, Germany, 1977).Google Scholar
  2. 2.
    D.M. Brink, in Many-Body Description of Nuclear Structure and Reactions, Proceedings of the International School of Physics ``Enrico Fermi'', Course XXXVI, edited by C. Bloch (Academic Press, New York, 1966).Google Scholar
  3. 3.
    G.F. Bertsch, W. Bertozzi, Nucl. Phys. A 165, 199 (1971).Google Scholar
  4. 4.
    Y. Fujiwara, H. Horiuchi, K. Ikeda, M. Kamimura, K. Kato, Y. Suzuki, E. Uegaki, Prog. Theor. Phys. Suppl. 68, 29 (1980).Google Scholar
  5. 5.
    E. Uegaki, S. Okabe, Y. Abe, H. Tanaka, Prog. Theor. Phys. 57, 1262 (1977)Google Scholar
  6. 6.
    Y. Fukushima, M. Kamimura, Proceedings of the International Conference on Nuclear Structure, Tokyo, 1977, edited by T. Marumori, Suppl. J. Phys. Soc. Jpn. 44, 225 (1978)Google Scholar
  7. 7.
    F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999).Google Scholar
  8. 8.
    G. Röpke, A. Schnell, P. Schuck, P. Nozieres, Phys. Rev. Lett. 80, 3177 (1998).Google Scholar
  9. 9.
    M. Beyer, S.A. Sofianos, C. Kuhrts, G. Röpke, P. Schuck, Phys. Lett. B 80, 247 (2000).Google Scholar
  10. 10.
    A. Tohsaki, H. Horiuchi, P. Schuck, G. Röpke, Phys. Rev. Lett. 87, 192501 (2001).Google Scholar
  11. 11.
    Y. Funaki, H. Horiuchi, A. Tohsaki, P. Schuck, G. Röpke, Prog. Theor. Phys. 108, 297 (2002).Google Scholar
  12. 12.
    T. Yamada, P. Schuck, Phys. Rev. C 69, 024309 (2004).Google Scholar
  13. 13.
    L.P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961) (Sov. Phys. JETP 13, 451 (1961))Google Scholar
  14. 14.
    M. Itoh, Nucl. Phys. A 738, 268 (2004).Google Scholar
  15. 15.
    Y. Funaki, A. Tohsaki, H. Horiuchi, P. Schuck, G. Röpke, Eur. Phys. J. A 24, 321 (2005), arXiv: nucl-th/0410097.Google Scholar
  16. 16.
    V.I. Kukulin, V.M. Krasnopol'sky, J. Phys. A 10, 33 (1977)Google Scholar
  17. 17.
    H. Matsumura, Y. Suzuki, Nucl. Phys. A 739, 238 (2004).Google Scholar
  18. 18.
    S. Saito, Prog. Theor. Phys. 40, 893 (1968)Google Scholar
  19. 19.
    H. Horiuchi, Prog. Theor. Phys. 51, 1266 (1974)Google Scholar
  20. 20.
    K. Fukatsu, K. Kato, H. Tanaka, Prog. Theor. Phys. 81, 738 (1989)Google Scholar
  21. 21.
    E.M. Tursunov, D. Baye, P. Descouvemont, Nucl. Phys. A 723, 365 (2003)Google Scholar
  22. 22.
    Y. Fujiwara, M. Kohno, Y. Suzuki, Phys. Rev. C 69, 037002 (2004)Google Scholar
  23. 23.
    C. Kurokawa, K. Kato, Nucl. Phys. A 738, 455 (2004).Google Scholar
  24. 24.
    H. Horiuchi, K. Ikeda, Cluster Model of the Nucleus, Int. Rev. Nucl. Phys., Vol. 4 (World Scientific Publishing Co., 1986) p. 1.Google Scholar
  25. 25.
    M. Kamimura, Phys. Rev. A 38, 621 (1988)Google Scholar
  26. 26.
    V.I. Kukulin, V.M. Krasnopol'sky, V.T. Voronchev, P.B. Sazanov, Nucl. Phys. A 417, 128 (1984).Google Scholar
  27. 27.
    F. Ajzenberg-Selove, Nucl. Phys. A 506, 1 (1990).Google Scholar
  28. 28.
    A.T. Kruppa, R.G. Lovas, B. Gyarmati, Phys. Rev. C 37, 383 (1988)Google Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2005

Authors and Affiliations

  1. 1.Laboratory of PhysicsKanto Gakuin UniversityYokohamaJapan
  2. 2.Institute de Physique NucléaireOrsay CedexFrance

Personalised recommendations