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Effective three-body interactions in the α-cluster model for the 12C nucleus

  • S. I. Fedotov
  • O. I. KartavtsevEmail author
  • A. V. Malykh
Original Article

Abstract.

Properties of the lowest 0+ states of 12C are calculated to study the role of three-body interactions in the α-cluster model. An additional short-range part of the local three-body potential is introduced to incorporate the effects beyond the α-cluster model. There is enough freedom in this potential to reproduce the experimental values of the ground-state and excited-state energies and the ground-state root-mean-square radius. The calculations reveal two principal choices of the two-body and three-body potentials. Firstly, one can adjust the potentials to obtain the width of the excited 02+ state and the monopole 02+↦01+ transition matrix element in good agreement with the experimental data. In this case, the three-body potential has strong short-range attraction supporting a narrow resonance above the 02+ state, the excited-state wave function contains a significant short-range component, and the excited-state root-mean-square radius is comparable to that of the ground state. Next, rejecting the solutions with an additional narrow resonance, one finds that the excited-state width and the monopole transition matrix element are insensitive to the choice of the potentials and both values exceed the experimental ones.

PACS.

21.45.+v Few-body systems 21.60.Gx Cluster models 23.60.+e α decay 24.30.Gd Other resonances 

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References

  1. 1.
    E.E. Salpeter, Astrophys. J. 115, 326 (1952).Google Scholar
  2. 2.
    F. Hoyle, Astrophys. J. Suppl. 1, 121 (1954).Google Scholar
  3. 3.
    L.V. Grigorenko, R.C. Johnson, I.G. Mukha, I.J. Thomson, M.V. Zhukov, Phys. Rev. C 64, 054002, (2001).Google Scholar
  4. 4.
    L.V. Grigorenko, M.V. Zhukov, Phys. Rev. C 68, 054005 (2003).Google Scholar
  5. 5.
    H.O.U. Fynbo, Y. Prezado, U.C. Bergmann, M.J.G. Borge, P. Dendooven, W.X. Huang, J. Huikari, H. Jeppesen, P. Jones, B. Jonson, M. Meister, G. Nyman, K. Riisager, O. Tengblad, I.S. Vogelius, Y. Wang, L. Weissman, K. Wilhelmsen Rolander, J. Äystö, Phys. Rev. Lett. 91, 082502 (2003).Google Scholar
  6. 6.
    O.I. Kartavtsev, Few-Body Syst. 34, 39 (2004).Google Scholar
  7. 7.
    D.N.F. Dunbar, R.E. Pixley, W.A. Wenzel, W. Whaling, Phys. Rev. 92, 649 (1953).Google Scholar
  8. 8.
    C.W. Cook, W.A. Fowler, C.C. Lauritsen, T. Lauritsen, Phys. Rev. 107, 508 (1957).Google Scholar
  9. 9.
    M. Freer, A.H. Wuosmaa, R.R. Betts, D.J. Henderson, P. Wilt, R.W. Zurmühle, D.P. Balamuth, S. Barrow, D. Benton, Q. Li, Z. Liu, Y. Miao, Phys. Rev. C 49, R1751 (1994).Google Scholar
  10. 10.
    A.G.W. Cameron, Astrophys. J. 130, 916 (1959).Google Scholar
  11. 11.
    K. Nomoto, F.-K. Thielemann, S. Miyaji, Astron. Astrophys. 149, 239 (1985).Google Scholar
  12. 12.
    K. Langanke, M. Wiescher, F.-K. Thielemann, Z. Phys. A 324, 147 (1986).Google Scholar
  13. 13.
    I. Fushiki, D.Q. Lamb, Astrophys. J. 317, 3621 (1987).Google Scholar
  14. 14.
    S. Schramm, Astrophys. J. 397, 579 (1992).Google Scholar
  15. 15.
    Y. Funaki, A. Tohsaki, H. Horiuchi, P. Schuck, G. Röpke, Eur. Phys. J. A 24, 368 (2005).Google Scholar
  16. 16.
    S.I. Fedotov, O.I. Kartavtsev, V.I. Kochkin, A.V. Malykh, Phys. Rev. C 70, 014006 (2004).Google Scholar
  17. 17.
    D.V. Fedorov, A.S. Jensen, Phys. Lett. B 389, 631 (1996).Google Scholar
  18. 18.
    N.N. Filikhin, Yad. Fiz. 63, 1612 (2000).Google Scholar
  19. 19.
    S. Ali, A.R. Bodmer, Nucl. Phys. 80, 99 (1966).Google Scholar
  20. 20.
    J.H. Macek, J. Phys. B 1, 831 (1968).Google Scholar
  21. 21.
    F. Ajzenberg-Selove, Nucl. Phys. A 490, 1 (1988).Google Scholar
  22. 22.
    F. Ajzenberg-Selove, Nucl. Phys. A 506, 1 (1990).Google Scholar
  23. 23.
    W. Ruckstuhl, B. Aas, W. Beer, I. Beltrami, K. Bos, P.F.A. Goudsmit, H.J. Leisi, G. Strassner, A. Vacchi, F.W.N. De Boer, U. Kiebele, R. Weber, Nucl. Phys. A 430, 685 (1984). Google Scholar
  24. 24.
    E.A.J.M. Offermann, L.S. Cardman, C.W. de Jager, H. Miska, C. de Vries, H. de Vries, Phys. Rev. C 44, 1096 (1991).Google Scholar
  25. 25.
    W. Reuter, G. Fricke, K. Merle, H. Miska, Phys. Rev. C 26, 806 (1982).Google Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2005

Authors and Affiliations

  • S. I. Fedotov
    • 1
  • O. I. Kartavtsev
    • 1
    Email author
  • A. V. Malykh
    • 1
  1. 1.Joint Institute for Nuclear ResearchDubnaRussia

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