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Three-alpha force and the 3-α model of12C

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

We postulate a Gaussian three-body potential amongα particles and adjust its parameters so that, when it is added to the Ali-Bodmerα-α potential, a good fit to experimental energies of low-lying 0+ and 2+ states of12C is achieved. With these potentials we made a linear variational calculation in a basis of harmonic oscillator functions which are translationally invariant, completely symmetric, and have a definite orbital angular momentum. We study the influence of this three-body potential on elastic and inelastic form factors, transition widths, Coulomb energy and charge radius of the 3-α system. The 3-α potential improved results found with the Ali-Bodmer potential alone. We find the 0 +2 state to be a (non-rigid) linear chain and the ground state to be a triangle ofα particles.

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Author notes

  1. O. Portilho

    Present address: Departamento de Fisica, Universidade de Brasilia, Brasilia-DF-Brazil

Authors and Affiliations

  1. Department of Physics, University of Arizona, Tucson, Arizona, USA

    O. Portilho & S. A. Coon

Authors
  1. O. Portilho
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  2. S. A. Coon
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Additional information

CNPq (Brazil) Fellow

Work supported in part by the NSF (Grant PHY 77-05337)

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Portilho, O., Coon, S.A. Three-alpha force and the 3-α model of12C. Z Physik A 290, 93–105 (1979). https://doi.org/10.1007/BF01408484

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  • DOI: https://doi.org/10.1007/BF01408484

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