Elsevier

Annals of Physics

Volume 115, Issue 2, October 1978, Pages 276-324
Annals of Physics

Allowed β-transitions, weak magnetism and nuclear structure in light nuclei

https://doi.org/10.1016/0003-4916(78)90158-6Get rights and content

Abstract

The general formalism for allowed β-transitions is derived in the framework of the elementary particle as well as in the impulse approximation treatment. Explicit expressions for the shape factor, the asymmetry and anisotropy of electrons emitted from oriented nuclei, the β-γ (CP) correlation and the β-γ angular correlation are given. Emphasis is imputed to the question how model independently these quantities can be evaluated. This problem has been studied in detail for the β-transitions in the nuclei 12B12N, 20F20Na, 22Na and 24Na24Al. The computations of the nuclear matrix elements are carried out for the A = 12 system in intermediate coupling and for the sd-shell nuclei in the SU(6)-SU(3) coupling scheme using different residual interactions. Comparison to experiments is made. All results can be explained with ordinary CVC predictions without invoking second class currents.

References (76)

  • C.S. Wu et al.

    Phys. Rev. Lett.

    (1977)
  • W. Kaina et al.

    Phys. Lett.

    (1977)
  • J.P. Deutsch et al.

    Phys. Rev. C

    (1977)
  • K. Sugimoto et al.K. Sugimoto et al.

    J. Phys. Soc. Japan

    (1978)
  • B.R. Holstein et al.

    Phys. Rev. D

    (1976)
  • E.J. Konopinski

    The Theory of Beta Radioactivity

    (1966)
  • M. Morita

    Beta Decay and Muon Capture

    (1973)
  • F.P. Calaprice et al.

    Phys. Rev. C

    (1977)
  • T. Sato et al.
  • K. Kubodera et al.

    Nucl. Phys. B

    (1973)
  • A. De Shalit et al.

    Nuclear Shell Theory

    (1963)
  • M. Conze et al.

    Phys. Lett.

    (1973)
  • M. Conze et al.

    Phys. Lett.

    (1977)
  • J.P. Elliott et al.

    The Nuclear Shell Model

  • S. Cohen et al.

    Nucl. Phys.

    (1965)
  • E.C. Halbert et al.
  • B.J. Cole et al.

    J. Phys. A: Math., Nucl. Gen.

    (1974)
  • F.P. Calaprice et al.

    Phys. Rev. C

    (1978)
  • P.D. Ingalls

    Nucl. Phys. A

    (1976)
  • H. Behrens et al.

    Z. Physik

    (1972)
  • R.E. Tribble et al.
  • N. Rolin et al.

    Phys. Lett.

    (1977)
  • R.M. Steffen

    Phys. Rev. Lett.

    (1959)
  • H. Behrens et al.

    Nucl. Phys. A

    (1975)
  • T. Mayer-Kuckuk et al.

    Phys. Rev.

    (1962)
  • N.W. Glass et al.

    Phys. Rev.

    (1963)
  • Y.K. Lee et al.

    Phys. Rev. Lett.

    (1963)
    C.S. Wu

    Rev. Mod. Phys.

    (1964)
  • B. Eman et al.

    Phys. Rev. C

    (1972)
  • H. Behrens et al.

    Z. Phys. A

    (1975)
  • F.P. Calaprice et al.

    Nucl. Phys. A

    (1976)
  • H. Genz et al.

    Nucl. Phys. A

    (1976)
  • W.-Y.P. Hwang et al.

    Phys. Rev. C

    (1977)
  • M. Morita et al.

    Suppl. of Progr. Theor. Phys.

    (1976)
  • K. Sugimoto et al.

    Suppl. of Progr. Theor. Phys.

    (1976)
  • R.E. Tribble et al.

    Phys. Rev. C

    (1975)
  • K. Kubodera

    Suppl. of Progr. Theor. Phys.

    (1976)
  • G.T. Garvey
  • T.W. Donnelly et al.

    Nucl. Phys. A

    (1976)
  • Cited by (26)

    • Energy levels of light nuclei A = 11-12

      1980, Nuclear Physics, Section A
    View all citing articles on Scopus

    Supported in part by the Deutsche Forschungsgemeinschaft.

    View full text