Few-Body Systems

, 58:37 | Cite as

Three-Body Potentials in \({\varvec{\alpha }}\)-Particle Model of Light Nuclei

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  1. The 23rd European Conference on Few-Body Problems in Physics

Abstract

In three-body model calculations of atomic nuclei, e.g., the \({}^{12}\)C nucleus as \(\alpha \)-\(\alpha \)-\(\alpha \) system and the \({}^{9}\)Be nucleus as \(\alpha \)-\(\alpha \)-n system, the Hamiltonians of the systems consisting of two- and three-body potentials are important inputs. However, our knowledge of three-body potentials is quite restricted. In this paper, I will examine a relation between \(\alpha \)-\(\alpha \)-\(\alpha \) and \(\alpha \)-\(\alpha \)-n three-body potentials that is obtained in a simple cluster model picture, which gives a phenomenological constraint condition on the three-body potential models to be used.

References

  1. 1.
    M. Freer, H.O.U. Fynbo, The Hoyle state in \({}^{12}\)C. Prog. Part. Nucl. Phys. 78, 1 (2014)ADSCrossRefGoogle Scholar
  2. 2.
    T. Sasaqui, T. Kajino, G.J. Mathews, K. Otsuki, T. Nakamura, Sensitivity of r-process nucleosynthesis to light-element nuclear reactions. Astrophys. J. 634, 1173 (2005)ADSCrossRefGoogle Scholar
  3. 3.
    S. Ali, A.R. Bodmer, Phenomenological \(\alpha \)-\(\alpha \) potentials. Nucl. Phys. 80, 99 (1966)CrossRefGoogle Scholar
  4. 4.
    B.V. Danilin et al., Dynamical multicluster model for electroweak and charge-exchange reactions. Phys. Rev. C 43, 2835 (1991)ADSCrossRefGoogle Scholar
  5. 5.
    L.D. Faddeev, Scattering theory for a three-particle system. Sov. Phys. JETP 12, 1014 (1961)MathSciNetGoogle Scholar
  6. 6.
    S. Ishikawa, Coordinate space proton-deuteron scattering calculations including Coulomb force effects. Phys. Rev. C 80, 054002 (2009)ADSCrossRefGoogle Scholar
  7. 7.
    S. Ishikawa, Three-body calculations of the triple-\(\alpha \) reaction. Phys. Rev. C 87, 055804 (2013)ADSCrossRefGoogle Scholar
  8. 8.
    S. Ishikawa, Low-energy \({}^{12}\)C states in three-\(\alpha \) model. Few-Body Syst. 55, 923 (2013)ADSCrossRefGoogle Scholar
  9. 9.
    S. Ishikawa, Decay and structure of the Hoyle state. Phys. Rev. C 90, 061604(R) (2014)ADSCrossRefGoogle Scholar
  10. 10.
    S. Ishikawa, Monopole transition strength function of \({}^{12}\)C in three-\(\alpha \) model. Phys. Rev. C 94, 061603(R) (2016)Google Scholar
  11. 11.
    H. Utsunomiya et al., Photodisintegration of \({}^9\)Be with laser-induced Compton backscattered gamma rays. Phys. Rev. C 63, 018801 (2001)ADSCrossRefGoogle Scholar
  12. 12.
    C.W. Arnold et al., Cross-section measurement of \(^9\)Be\((\gamma, n){}^8\)Be and implications for \(\alpha +\alpha +n \rightarrow {}^{9}\)Be in the r process. Phys. Rev. C 85, 044605 (2012)ADSCrossRefGoogle Scholar
  13. 13.
    H. Utsunomiya et al., Photodisintegration of \(^{9}{\rm Be}\) through the \(1/{2}^{+}\) state and cluster dipole resonance. Phys. Rev. C 92, 064323 (2015)ADSCrossRefGoogle Scholar
  14. 14.
    D.R. Tilley et al., Energy levels of light nuclei \(A=8,9,10\). Nucl. Phys. A 745, 155 (2004)ADSCrossRefGoogle Scholar
  15. 15.
    S. Ishikawa, T. Kajino, S. Shibagaki, A.B. Balantekin, M.A. Famiano, Three-body model calculation of \({}^{9}\)Be formation rate and application to supernova nucleosynthesis, in JPS Conference Proceedings (to be published)Google Scholar

Copyright information

© Springer-Verlag Wien 2017

Authors and Affiliations

  1. 1.Science Research CenterHosei UniversityChiyodaJapan

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