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Internal Conversion Angular Correlations

M. E. Rose, L. C. Biedenharn, and G. B. Arfken

  • Oak Ridge National Laboratory, Oak Ridge, Tennessee

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 γ-ray replacing the conversion electron is known. This latter is known for all cases of practical interest. Specifically, if the correlation function for γ-rays and a radiation x is expanded in Legendre polynomials, the correlation function with a conversion electron replacing the γ-ray is obtained by multiplying the coefficients of each polynomial Pν by a parameter bν. The case of conversion-conversion correlation, in all practical cases, is obtained from the γγ correlation by inserting two factors bν, one for each conversion electron. The coefficients bν are calculated relativistically and numerical results are presented for K-shell conversion for 12 values of Z in the range 10<~Z<~96 and transition energies from 0.3 mc2 to 5.0 mc2 for ten multipoles (5 electric and 5 magnetic). It is pointed out that the present results apply in γ-electron correlation if the γ 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.

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