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Mirror Nuclei Radii Utilizing Self-Energy Term and Nonuniform Charge Distributions

Mirror Nuclei Radii Utilizing Self-Energy Term and Nonuniform Charge Distributions The nature of the self-energy term in the mirror nucleus energy-difference formula is investigated. Two approaches are used. In the first this self-energy term is assumed to be a constant equal to the Coulomb self-energy of a single proton, and in the second a more refined quantum mechanical approach based on the Swamy and Green Coulomb exchange energy calculations is used. Both approaches yield r 0 values which possess the correct general trend with increasing A , but which disagree with theoretical values for very low A . The effect of nonuniform charge distributions on the values of nuclear radii obtained from mirror nuclei is investigated, and expressions for the Coulomb energy for various charge distributions are given. A direct comparison between the mirror nucleus radii and those obtained from electron scattering is made in the few cases where this is possible. Finally, the possible validity of a suggested value of 0.58 Mev for the Coulomb self-energy of the proton is discussed briefly. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

Mirror Nuclei Radii Utilizing Self-Energy Term and Nonuniform Charge Distributions

Physical Review , Volume 115 (5) – Sep 1, 1959
4 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1959 The American Physical Society
ISSN
1536-6065
DOI
10.1103/PhysRev.115.1243
Publisher site
See Article on Publisher Site

Abstract

The nature of the self-energy term in the mirror nucleus energy-difference formula is investigated. Two approaches are used. In the first this self-energy term is assumed to be a constant equal to the Coulomb self-energy of a single proton, and in the second a more refined quantum mechanical approach based on the Swamy and Green Coulomb exchange energy calculations is used. Both approaches yield r 0 values which possess the correct general trend with increasing A , but which disagree with theoretical values for very low A . The effect of nonuniform charge distributions on the values of nuclear radii obtained from mirror nuclei is investigated, and expressions for the Coulomb energy for various charge distributions are given. A direct comparison between the mirror nucleus radii and those obtained from electron scattering is made in the few cases where this is possible. Finally, the possible validity of a suggested value of 0.58 Mev for the Coulomb self-energy of the proton is discussed briefly.

Journal

Physical ReviewAmerican Physical Society (APS)

Published: Sep 1, 1959

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