Role of symmetries in nuclear physics

Kota, V. K. B.; Jain, Ashok Kumar

doi:10.1140/epjst/e2020-000209-2

Cited by 2 publications

(1 citation statement)

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“…Draayer, J.P.; Pan, F.; Martinou, A., in preparation). and the other one in [9], where will be available at approximately the same time. The emphasis, however, is different but provides additional useful information.…”

Section: Introductionmentioning

confidence: 99%

The Power of Symmetries in Nuclear Structure and Some of Its Problems

Hess

2023

Symmetry

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A review of 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. This enables us to describe very involved systems in a greatly simplified manner. Some problems are also discussed, when ignoring basic principles of nature, such as the Pauli exclusion principle. We also show that occasionally one can rescue these omissions. In a couple of representative models, applications of symmetries are explicitly applied in order to illustrate how extremely complicated systems can be treated. This contribution is meant as a review of the use of algebraic models in nuclear physics, leading to a better understanding of the articles in the same special volume.

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Section: Introductionmentioning

confidence: 99%

The Power of Symmetries in Nuclear Structure and Some of Its Problems

Hess

2023

Symmetry

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Multiple Multi-Orbit Pairing Algebras in Nuclei

Kota

Sahu

2023

Symmetry

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The algebraic group theory approach to pairing in nuclei is an old subject and yet it continues to be important in nuclear structure, giving new results. It is well known that for identical nucleons in the shell model approach with j − j coupling, pairing algebra is SU(2) with a complementary number-conserving Sp(N) algebra and for nucleons with good isospin, it is SO(5) with a complementary number-conserving Sp(2Ω) algebra. Similarly, with L − S coupling and isospin, the pairing algebra is SO(8). On the other hand, in the interacting boson models of nuclei, with identical bosons (IBM-1) the pairing algebra is SU(1, 1) with a complementary number-conserving SO(N) algebra and for the proton–neutron interacting boson model (IBM-2) with good F-spin, it is SO(3, 2) with a complementary number-conserving SO(ΩB) algebra. Furthermore, in IBM-3 and IBM-4 models several pairing algebras are possible. With more than one j or ℓ orbit in shell model, i.e., in the multi-orbit situation, the pairing algebras are not unique and we have the new paradigm of multiple pairing [SU(2), SO(5) and SO(8)] algebras in shell models and similarly there are multiple pairing algebras [SU(1, 1), SO(3, 2) etc.] in interacting boson models. A review of the results for multiple multi-orbit pairing algebras in shell models and interacting boson models is presented in this article with details given for multiple SU(2), SO(5), SU(1, 1) and SO(3, 2) pairing algebras. Some applications of these multiple pairing algebras are discussed. Finally, multiple SO(8) pairing algebras in shell model and pairing algebras in IBM-3 model are briefly discussed.

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Role of symmetries in nuclear physics

Abstract: We briefly describe the motivation for the special issue on 'Role of symmetries in Nuclear Physics'. In addition, we also present an overview of the topics covered in this special issue.

Cited by 2 publications

References 40 publications

The Power of Symmetries in Nuclear Structure and Some of Its Problems

The Power of Symmetries in Nuclear Structure and Some of Its Problems

Multiple Multi-Orbit Pairing Algebras in Nuclei

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