Bahcall, John N. (1963) Effect of exchange on M/L electron capture ratios. Physical Review, 131 (4). pp. 1756-1759. ISSN 0031-899X. doi:10.1103/PhysRev.131.1756. https://resolver.caltech.edu/CaltechAUTHORS:BAHpr63b
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Abstract
Theoretical expressions that include the effect of electron exchange are given for M/L electron-capture ratios; the results are presented in a form that makes clear the physical origin of the exchange corrections. Accurate values for M/L ratios both with and without exchange corrections are tabulated for Z between 13 and 37; these numerical results were calculated using the analytic Hartree-Fock wave functions of Watson and Freeman. The exchange correction for Z greater than or equal to 38 has been estimated by a least squares extrapolation of the correction for lower Z values. The effect of electron exchange on electron capture to positron-emission ratios is also discussed. The exchange-corrected theoretical M/L ratio for 32Ge71 is 0.173, in disagreement with the recent measurement of Manduchi and Zannoni. It is suggested that some additional precision measurements of M/L ratios be performed in order to clarify this discrepancy between theory and experiment.
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| Additional Information: | ©1963 The American Physical Society. Received 3 April 1963. I am grateful to Dr. R. F. Christy for a valuable comment on the interpretation of Eqs. (2) and to B. A. Zimmerman and Dr. P. A. Seeger for generous help in programming the computations for the California Institute of Technology IBM 7090. It is a pleasure to acknowledge stimulating correspondence with Dr. R. W. P. Drever, Dr. R. W. Fink, Dr. C. Manduchi, Dr. B. L. Robinson, Dr. S. Schafroth, Dr. J. G. V. Taylor, and Dr. G. Zannoni. Supported in part by the National Aeronautics and Space Administration and in part by the Office of Naval Research. | ||||||
| Issue or Number: | 4 | ||||||
| DOI: | 10.1103/PhysRev.131.1756 | ||||||
| Record Number: | CaltechAUTHORS:BAHpr63b | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:BAHpr63b | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 5101 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 29 Sep 2006 | ||||||
| Last Modified: | 08 Nov 2021 20:22 |
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