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The European Physical Journal A

, Volume 31, Issue 3, pp 303–317 | Cite as

Structure of low-lying 12C resonances

  • R. Álvarez-Rodrıguez
  • E. Garrido
  • A. S. Jensen
  • D. V. Fedorov
  • H. O. U. Fynbo
Regular Article - Nuclear Structure and Reactions

Abstract.

The hyperspherical adiabatic expansion is combined with complex scaling and used to calculate low-lying nuclear resonances of 12C in the 3α model. We use Ali-Bodmer potentials and compare results for other potentials α-α with similar 8Be properties. A three-body potential is used to adjust the 12C resonance positions to desired values extending the applicability of the method to many-body systems decaying into three α-particles. For natural choices of three-body potentials we find 14 resonances below the proton separation threshold, i.e. two 0+, three 2+, two 4+, one of each of 1±, 2-, 3±, 4-, and 6+. The partial-wave decomposition of each resonance is calculated as a function of the hyperradius. Strong variation is found from small to large distance. The connection to previous experimental and theoretical results is discussed and agreements as well as disagreements are emphasized.

PACS.

21.45.+v Few-body systems 21.60.Gx Cluster models 25.70.Ef Resonances 27.20.+n 6≤A≤19 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2007

Authors and Affiliations

  • R. Álvarez-Rodrıguez
    • 1
  • E. Garrido
    • 2
  • A. S. Jensen
    • 1
  • D. V. Fedorov
    • 1
  • H. O. U. Fynbo
    • 1
  1. 1.Institut for Fysik og AstronomiAarhus UniversitetAarhus CDenmark
  2. 2.Instituto de Estructura de la MateriaConsejo Superior de Investigaciones CientıficasMadridSpain

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