Abstract
The fundamental representation of the isospin group SU(2) is the doublet representation. The proton and the neutron are described by a doublet. The fundamental representation of SU(3) is the triplet representation, but in nature there are no hadrons, which transform as a triplet—the hadrons are described only by singlets, octets and decuplets. This feature of the SU(3) symmetry was not understood until 1964.
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Fritzsch, H. (2018). Introduction to Quark Model. In: Murray Gell-Mann and the Physics of Quarks. Classic Texts in the Sciences. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-92195-2_4
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DOI: https://doi.org/10.1007/978-3-319-92195-2_4
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