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α8Be cluster model for the 0 +2 resonance in the 12C nucleus

  • Nuclei
  • Theory
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Abstract

The 0 +2 resonance in the 12C nucleus is treated on the basis of the α+8Be two-cluster model. An equation for the function describing the relative motion of the clusters is derived by using the s-wave differential Faddeev equations for the 3α system and by relying on the simplest version of the resonating-group method. A phenomenological potential is taken to simulate the pair αα interaction. A three-body potential binding three alpha particles together gives rise to a resonance in two-cluster α+8Be scattering. The calculated resonance features and the calculated parameters of the wave function of the system are compared with the results obtained by other authors.

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Authors and Affiliations

  1. Institute of Physics (Petrodvorets Branch), St. Petersburg State University, Ul’yanovskaya ul. 1, Petrodvorets, 198904, Russia

    I. N. Filikhin

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  1. I. N. Filikhin
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__________

Translated from Yadernaya Fizika, Vol. 63, No. 9, 2000, pp. 1612–1617.

Original Russian Text Copyright © 2000 by Filikhin.

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Filikhin, I.N. α8Be cluster model for the 0 +2 resonance in the 12C nucleus. Phys. Atom. Nuclei 63, 1527–1532 (2000). https://doi.org/10.1134/1.1312886

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  • DOI: https://doi.org/10.1134/1.1312886

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