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VIII.—An Objective Criterion of the Limit of Useful Sophistication of the Semi-empirical Mass Equation*

Published online by Cambridge University Press:  14 February 2012

N. Feather
N. Feather
Affiliation:
Department of Natural Philosophy, University of Edinburgh.
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Synopsis

A “roughness parameter”, first used by the author in 1953 (Feather 1953 b) has been re-calculated for 348 points on the mass surface. Systematic features are identified in relation to the variation of this parameter with charge number (Z) and isotopie number (D). In the region of small Z these regularities provide evidence for the persistence of some degree of alpha-unit structure at least as far as Ca. In the region of greater Z (20 < Z < 50) they provide evidence for neutron-proton interactions among the last-added nucleons. Overall, they indicate that the “residuals” characterizing the various semi-empirical mass equations currently in use very probably arise in large part from sub-shell effects which it would be impracticable to attempt to include in the equations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 67 , Issue 2 , 1965 , pp. 104 - 125
Copyright
Copyright © Royal Society of Edinburgh 1965

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References

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