Nuclear Characteristics and Empirical Mass Sum Rules

W. H. Bassichis and I. Kelson
Phys. Rev. C 5, 1169 – Published 1 April 1972
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Abstract

The Garvey-Kelson mass sum rule is known to be violated when Z=N=odd, Z=N+1=even, or Z=N+1=odd nuclei are considered. This violation is a result of the lack of cancellation of certain two-body matrix elements. These matrix elements can be calculated assuming various models of the nuclei involved, e.g., deformation, level orderding, etc., and the amount by which the sum rule is violated empirically can then be used to distinguish the most appropriate model. The results of this empirical determination of nuclear characteristics agree quite well with the results of more involved calculations and conform to the generally accepted picture of nuclei in the sd shell.

  • Received 17 November 1971

DOI:https://doi.org/10.1103/PhysRevC.5.1169

©1972 American Physical Society

Authors & Affiliations

W. H. Bassichis

  • Cyclotron Institute and Department of Physics, Texas A&M University, College Station, Texas 77843

I. Kelson*

  • Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Tel Aviv, Israel

  • *Much of this work was performed while I. Kelson was a visitor at Texas A&M University under the auspices of the Research Council of Texas A&M University.

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Issue

Vol. 5, Iss. 4 — April 1972

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