Abstract
The application of group-representations in nuclear and particle physics, as ini- tiated by Wigner (1), is considered. The general classification of the elementary particles according to the representations of the inhomogenous Lorentz-group (2) is recalled. The role of the U(4) group is discussed, first in relation with the spin-isospin supermultiplets (3) 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.
Highlights
Wigner did a pioneer work in the application of group theory in physics
We consider a few consequences of the U(4) supermultiplet theory both in nuclear and in particle physics, and mention briefly a later application of the U(4) symmetry, related to the space degrees of freedom, in both disciplines
In this contribution we have considered some applications of group-representations in classifying elementary particles and nuclear states
Summary
Wigner did a pioneer work in the application of group theory in physics. Further important discoveries are (among others) the supermultiplet theory [3], and the representations of the inhomogeneous Lorentz-group [2]. In this contribution first we recall some features of the classification scheme of the elementary particles [2]. We consider a few consequences of the U(4) supermultiplet theory both in nuclear and in particle physics, and mention briefly a later application of the U(4) symmetry, related to the space degrees of freedom, in both disciplines. The classification of the nuclear states, and fundamental models of nuclear structure is described
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