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The Power of Symmetries in Nuclear Structure and Some of Its Problems
Version 1
: Received: 6 May 2023 / Approved: 9 May 2023 / Online: 9 May 2023 (04:04:16 CEST)
A peer-reviewed article of this Preprint also exists.
Hess, P.O. The Power of Symmetries in Nuclear Structure and Some of Its Problems. Symmetry 2023, 15, 1197. Hess, P.O. The Power of Symmetries in Nuclear Structure and Some of Its Problems. Symmetry 2023, 15, 1197.
Abstract
A review on several classical, algebraic models in nuclear structure physics, which use symmetries as an important tool, are presented. After a conceptual introduction to group theory, a selection of models is chosen to illustrate the methods and the power of the usage of symmetries. It enables to describe very involved systems in a greatly simplified manner. Some problems are also discussed, when ignoring basic principles of nature, as the Pauli Exclusion principle. We also show that, nevertheless, occasionally one can rescue these omissions. In a couple of representative models, applications of symmetries are explicitly applied, in order to illustrate how extremely complicate systems can be treated. This contribution is meant bas a review on the use of algebraic models in nuclear physics, leading to a better understanding of the articles in the same special volume.
Keywords
algebraic models; nuclear physics; group theory
Subject
Physical Sciences, Nuclear and High Energy Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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