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Internal Conversion Angular Correlations
Phys. Rev. 85, 5 – Published 1 January, 1952
DOI: https://doi.org/10.1103/PhysRev.85.5
Abstract
It is shown that the angular correlation between a conversion electron and any other radiation emitted in a double nuclear cascade can be obtained immediately if the corresponding correlation with a -ray replacing the conversion electron is known. This latter is known for all cases of practical interest. Specifically, if the correlation function for -rays and a radiation is expanded in Legendre polynomials, the correlation function with a conversion electron replacing the -ray is obtained by multiplying the coefficients of each polynomial by a parameter . The case of conversion-conversion correlation, in all practical cases, is obtained from the correlation by inserting two factors , one for each conversion electron. The coefficients are calculated relativistically and numerical results are presented for -shell conversion for 12 values of in the range and transition energies from to for ten multipoles (5 electric and 5 magnetic). It is pointed out that the present results apply in -electron correlation if the is a mixed multipole but the case in which the conversion transition is mixed is not computed. The angular distribution functions for electrons in a coulomb field undergoing any type of transition are obtained in terms of the relevant matrix elements by the use of the Green function for the Dirac electron in a coulomb field. It is also shown that the angular distribution function is obtained from matrix elements based on, not the scattered wave, but on the time-space reversed scattered wave.
References (28)
- L. I. Rusenov and Ye. I. Chuykin, Doklady Akad. Nauk. U.S.S.R. 68, 1029 (1949) C. M. Fowler (private communication) A. H. Ward and D. Walker, Nature 163, 168 (1949) A. Lundly, Phys. Rev. 76, 993 (1949) Walter, Huber, and Zunti, Helv. Phys. Acta 23, 697 (1950) O. Huber and F. Humbel, Helv. Phys. Acta. 24, 127 (1951)
- Rose, Goertzel, Spinrad, Harr, and Strong, Phys. Rev. 83, 79 (1951)
- H. Frauenfelder, Phys. Rev. 82, 549 (1951) Aeppli, Bishop, Frauenfelder, Walter, and Zunti, 82, 550 (1951)
- G. Goertzel, Phys. Rev. 70, 897 (1946)
- J. W. Gardner, Proc. Phys. Soc. (London) A62, 763 (1949) ibid.64, 238 (1951) M. Fierz, Helv. Phys. Acta 22, 489 (1949)
- D. S. Ling, Ph.D. dissertation (University of Michigan, 1948)
- S. P. Lloyd, private communication
- D. R. Hamilton, Phys. Rev. 58, 122 (1940) D. S. Ling and D. L. Falkoff, 76, 1639 (1949) W. Arnold, 80, 34 (1950)
- D. L. Falkoff and G. E. Uhlenbeck, Phys. Rev. 79, 323 (1950)
- E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, London, 1935), Chapter III
Omitted endnote
- H. A. Bethe, Ann. Physik 4, 443 (1930) E. Greuling and M. L. Meeks, Phys. Rev. 82, 531 (1951)
Omitted endnote
- M. E. Rose, Phys. Rev. 82, 389 (1951)
- M. E. Rose, Phys. Rev. 51, 484 (1937)
- G. Racah, Phys. Rev. 62, 438 (1942) ibid.63, 367 (1943)
- N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions (Oxford University Press, New York, 1933), p. 258) W. Rarita and J. Schwinger, Phys. Rev. 59, 556 (1941)
- M. Fuchs, Ph.D. dissertation (University of Michigan, 1951)
- Biedenharn, Arfken, and Rose, Phys. Rev. 83, 586 (1951)
- S. P. Lloyd, Ph.D. dissertation (University of Illinois, 1951)
- S. P. Lloyd, Phys. Rev. 83, 716 (1951)
- L. C. Biedenharn and M. E. Rose, Oak Ridge National Laboratory Report No. 1098 (1951)
- D. L. Falkoff and G. E. Uhlenbeck, Phys. Rev. 79, 334 (1950)
- A. H. Compton and S. K. Allison, X-Rays in Theory and Experiment (D. Van Nostrand Company, Inc., New York, 1935) R. M. Steffen, Helv. Phys. Acta 22, 167 (1949) ([6])
- S. P. Lloyd, Phys. Rev. 81, 161 (1951)
- M. Goldhaber and A. W. Sunyar, Phys. Rev. 83, 906 (1951)
- Arfken, Biedenharn, and Rose, Oak Ridge National Laboratory Report No. 1103 (1951)
- Rose, Biedenharn, and Arfken, Oak Ridge National Laboratory Report No. 1097 (1951)