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Angular Correlation of Gamma-Rays

G. Goertzel*

  • New York University, Washington Square, New York, New York

  • *Now at Clinton Laboratories, Monsanto Chemical Company, Knoxville, Tennessee.

Phys. Rev. 70, 897 – Published 1 December, 1946

DOI: https://doi.org/10.1103/PhysRev.70.897

Abstract

The calculation of the angular correlation of successive gamma-rays from an atomic nucleus, carried out by Hamilton, has been extended to take into account the effect of the magnetic field at the nucleus because of the extra-nuclear electrons. Results are given in a form valid for all multipole orders. In addition, it is shown that an external magnetic field may be used to reduce the effect of the extra-nuclear electrons on the angular correlation. A method of calculating the effect of an external magnetic field on the angular distribution of the successive gamma-rays is indicated.

References (19)

  1. D. R. Hamilton, Phys. Rev. 58, 122 (1940)
  2. G. Breit, Rev. Mod. Phys. 5, 91 (1933)
  3. Omitted endnote

  4. Omitted endnote

  5. E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, Cambridge, 1935), especially pages 73-78 [7]
  6. W. Heitler, Proc. Camb. Phil. Soc. 32, 112 (1936) W. W. Hansen, Phys. Rev. 47, 139 (1935)
  7. Eugen Wigner, Gruppentheorie (Friedrich Vieweg und Sohn Akt.-Ges., Braunschweig, 1931), Chapters 14 and 15
  8. (A. C. Helmholz, Phys. Rev. 60, 415 (1941) S. M. Dancoff and P. Morrison, 55, 122 (1939))
  9. Eq. (33) and [7], page 180, Eq. (27)
  10. [7], page 180, Eq. (27)
  11. [5,7]
  12. Omitted endnote

  13. (G. Goertzel and I. S. Lowen, Phys. Rev. 69, 533 (1946))
  14. Hansen, [7]
  15. E. T. Whittaker and G. N. Watson, Modern Analysis (The Macmillan Company, New York, 1944), American edition, p. 401
  16. Condon and Shortley's ([5], page 52)
  17. [7], page 182
  18. [7], page 204, Eq. (16b)
  19. [7], page 264, Eq. (19)

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