Wigner and the groups in classifying elementary particles and nuclear states
Institute for Nuclear Research, Hungarian Academy of Sciences, Debrecen, Pf. 51, Hungary - 4001
Published online: 25 September 2014
The application of group-representations in nuclear and particle physics, as initiated by Wigner , is considered. The general classification of the elementary particles according to the representations of the inhomogenous Lorentz-group  is recalled. The role of the U(4) group is discussed, first in relation with the spin-isospin supermultiplets  both in nuclear and in particle physics, then as a dynamical group of the two-body systems in both disciplines. Finally the classification of the nuclear states is mentioned both for the single shell, and for the multi-shell problems.
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