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The Uncertainty Principle and the Yield of Nuclei Formed in Fission

The Uncertainty Principle and the Yield of Nuclei Formed in Fission by neutrons diffracted into the detector by the scatterers; its greatest value is about 3 percent. The results are given in Table I. If these cross sections are expressed in terms of a collision radius R, were a- = 2rR', and plotted against A as done by Sherr,3 it is seen that the values from Li to U lie on a nearly smooth curve, and are all below Sherr's line ER (1.7 + 1.22A1) X 10-13 cm] for 25-Mev neutrons. The difference becomes less for the heavier nuclei, as if the values are tending to approach a line near his. One possible interpre- tation is to say that the lighter nuclei are partially trans- parent, and approach opacity with increasing A. Dr. Serber has shown4 that such an interpretation is well justi- fied. An empirical formula that fits the data from Li to U very well is: R=(0.5+1.37A')E[1-exp(-0.49A)]X 10-13 cm. This formula is not intended to have any theoretical significance, but may be useful for purposes of interpola- tion. From Li to 0, the cross sections are nearly propor- tional to A. A complete account of this work will be pub- lished later. This paper is based on http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

The Uncertainty Principle and the Yield of Nuclei Formed in Fission

Physical Review , Volume 72 (12) – Dec 15, 1947

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1947 The American Physical Society
ISSN
1536-6065
DOI
10.1103/PhysRev.72.1265
Publisher site
See Article on Publisher Site

Abstract

by neutrons diffracted into the detector by the scatterers; its greatest value is about 3 percent. The results are given in Table I. If these cross sections are expressed in terms of a collision radius R, were a- = 2rR', and plotted against A as done by Sherr,3 it is seen that the values from Li to U lie on a nearly smooth curve, and are all below Sherr's line ER (1.7 + 1.22A1) X 10-13 cm] for 25-Mev neutrons. The difference becomes less for the heavier nuclei, as if the values are tending to approach a line near his. One possible interpre- tation is to say that the lighter nuclei are partially trans- parent, and approach opacity with increasing A. Dr. Serber has shown4 that such an interpretation is well justi- fied. An empirical formula that fits the data from Li to U very well is: R=(0.5+1.37A')E[1-exp(-0.49A)]X 10-13 cm. This formula is not intended to have any theoretical significance, but may be useful for purposes of interpola- tion. From Li to 0, the cross sections are nearly propor- tional to A. A complete account of this work will be pub- lished later. This paper is based on

Journal

Physical ReviewAmerican Physical Society (APS)

Published: Dec 15, 1947

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