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Generalized atomic mass law

Mozer, Forrest S. (1959) Generalized atomic mass law. Physical Review, 116 (4). pp. 970-975. ISSN 0031-899X. doi:10.1103/PhysRev.116.970.

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Least-squares analyses have been performed on a set of atomic masses using standard and generalized semiempirical mass laws. Presumably because of errors in the assumed form of the standard mass law, its least-squares coefficients can be determined at best to an accuracy of about 10%, and masses are predicted with an uncertainty of several Mev/c^2. The standard mass law has been generalized by addition of shell effect and deformation terms. While the least-squares fitting of the generalized mass law is better than for the standard mass law, it is still not possible to predict atomic masses to an accuracy better than a few Mev/c^2. The nuclear deformations and the well depth of the nuclear interaction obtained from the additional mass-law terms are in reasonable agreement with more accurate determinations by other methods. A similar statement applies to the nuclear radius constant as obtained from the least-squares coefficient of the Coulomb energy term. A study has also been made of the effects of additional terms propertional to the absolute value of the isotopic spin, exchange and surface corrections to the Coulomb energy, and the surface correction to the normal isotopic term.

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Additional Information:©1959 The American Physical Society. Received 29 June 1959. The author would like to acknowledge his gratitude to Dr. W.A. Fowler for helpful discussions and guidance, to Dr. Jon Mathews for aid in coding the problem, and to Barbara Zimmerman for running many cases on the digital computer. Supported in part by the joint program of the Office of Naval Research and the U.S. Atomic Energy Commission.
Issue or Number:4
Record Number:CaltechAUTHORS:MOZpr59
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8596
Deposited By: Tony Diaz
Deposited On:22 Aug 2007
Last Modified:08 Nov 2021 20:51

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