Consistent description of C12 and O16 using a finite-range three-body interaction

N. Itagaki
Phys. Rev. C 94, 064324 – Published 27 December 2016

Abstract

Consistent description of C12 and O16 has been a long-standing problem of microscopic α cluster models, where the wave function is fully antisymmetrized and the effective interaction is applied not between α clusters but between nucleons. When the effective interaction is designed to reproduce the binding energy of O16 (four α), the binding energy of C12 (three α) becomes underbound by about 10 MeV. In the present study, by taking into account the coupling with the jj-coupling shell model components and utilizing the Tohsaki interaction, which is phenomenological but has finite-range three-body interaction terms, it is shown that consistent understanding of these nuclei can be achieved. The original Tohsaki interaction gives a small overbound value of about 3 MeV for O16, and this is improved by slightly modifying the three-body Majorana exchange parameter. Also, the coupling with the jj-coupling shell model wave function strongly contributes to the increase of the binding energy of C12. So far the application of the Tohsaki interaction has been limited to 4N nuclei; here, Bartlet and Heisenberg exchange terms are added in the two-body interaction part for the purpose of applying it to neutron-rich systems, and it is applied to He6.

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  • Received 2 September 2016
  • Revised 11 November 2016

DOI:https://doi.org/10.1103/PhysRevC.94.064324

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

N. Itagaki

  • Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwake-Cho, Kyoto 606-8502, Japan

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Issue

Vol. 94, Iss. 6 — December 2016

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