https://doi.org/10.1140/epjp/s13360-024-05021-5
Regular Article
Complex octonion-based SU(3) flavor symmetry with the concept of octet representation for quark composite particles
1
Department of Physics, G.B. Pant University of Agriculture and Technology, 263 145, Pantnagar, Uttarakhand, India
2
Department of Physics, Uttarakhand Open University, 263 139, Haldwani, Uttarakhand, India
Received:
7
December
2023
Accepted:
18
February
2024
Published online:
3
March
2024
In the current work, we develop an extensive analysis of the quark-flavor theory in the context of complex octonionic space by examining the connection between octonions and the SU(3) group. We construct three sets of operators in complex octonion space that are crucial to indicating the three discrete isospin spaces. In order to discuss the octonion three isospin frames, the fundamental (triplet) representation of the SU(3)f-group is shown. Furthermore, we have demonstrated the significance of the complexified octonion space by constructing baryonic and mesonic octet representations within these isospin frames. The octonionic-valued three frames are emphasized as essential in estimating the complete spinor state of flavor quarks for hadrons.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
