Elsevier

Nuclear Physics A

Volume 204, Issue 2, 9 April 1973, Pages 225-278
Nuclear Physics A

Alpha-particle spectroscopic amplitudes and the su(3) model

https://doi.org/10.1016/0375-9474(73)90272-8Get rights and content

Abstract

Formulas for calculating spectroscopic amplitudes for emission or transfer of α-particles are developed in the framework of the harmonic-oscillator shell model with SU(3) classification. These formulas are applied to some interesting states of 20Ne, e.g., low-lying (sd)4 shell-model states, members of the lowest K = 0 band with SU (3) label (90), and 2khω excited states with SU(3) label (10, 0). Spurious c.m. motion is removed. The formulas are also applied to the ground and some excited states of 16O. The 16O wave functions of Brown and Green are used in an investigation of how the mixing among 0p-0h, 2p-2h, and 4p-4h states affects the wave function for relative motion between the α-cluster and the mass-12 nucleus. These calculations indicate much larger α reduced widths for states which are mainly 4p-4h than for states which are mainly 0p-0h or 2p-2h. Spectroscopic amplitudes are also calculated for some 16O and 12C states described as linear chains of α-particles.

References (61)

  • A. Arima et al.

    Phys. Lett.

    (1972)
  • E. Vogt

    Phys. Lett.

    (1972)
  • J.P. Elliott et al.E.U. Baranger et al.

    Nucl. Phys.

    (1961)
  • K.T. Hecht

    Nucl. Phys.

    (1971)
  • Yu.F. Smirnov

    Nucl. Phys.

    (1961)
    Yu.F. Smirnov

    Nucl. Phys.

    (1962)
  • K. Wildermuth et al.

    Nucl. Phys.

    (1958)
    K. Wildermuth et al.

    Nucl. Phys.

    (1959)
  • J.B. McGrory
  • J. Flores et al.

    Phys. Lett.

    (1967)
  • T.T.S. Kuo et al.

    Nucl. Phys.

    (1966)
  • G.J. Wozniak et al.

    Phys. Rev. Lett.

    (1972)
  • M.K. Mehta et al.

    Phys. Rev.

    (1967)
    M.K. Mehta et al.

    Phys. Rev.

    (1967)
    J.A. Kuehner et al.

    Can. J. Phys.

    (1967)
  • O. Häusser et al.

    Nucl. Phys.

    (1972)
  • K.-I. Kubo

    Nucl. Phys.

    (1972)
  • K. Nagatani et al.

    Phys. Rev. Lett.

    (1971)
    R. Middleton et al.

    Phys. Rev. Lett.

    (1971)
  • F. Ajzenberg-Selove

    Nucl. Phys.

    (1972)
  • H.T. Fortune et al.

    Phys. Rev. Lett.

    (1972)
  • H.A. Jahn et al.
  • J.P. Elliott et al.

    Phil. Trans. Roy. Soc.

    (1953)
    H.A. Jahn
  • T.P. Marvin et al.

    Nucl. Phys.

    (1972)
  • V.V. Blashov et al.

    Nucl. Phys.

    (1965)
  • D. Kurath

    Phys. Rev.

    (1956)
  • D.M. Brink
  • D.M. Brink et al.

    Nucl. Phys.

    (1967)
  • J.D. Talman

    Nucl. Phys.

    (1970)
    J.N. Ginocchio
  • M. Kawai et al.

    Prog. Theor. Phys.

    (1967)
  • A.J. Baltz et al.

    Phys. Rev. Lett.

    (1972)
  • N. Austern et al.

    Phys. Rev.

    (1964)
  • T. Fortune
  • K. Bethge

    Ann. Rev. of Nucl. Sci.

    (1970)
  • Cited by (0)

    On leave from Institute of Physics, College of General Education, University of Tokyo.

    †††

    Work supported by the US Atomic Energy Commission under contract with the Union Carbide Corporation

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