SU(6)WAlgebra and the Commutators of Electric Dipoles at Infinite Momentum
- 25 January 1967
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 153 (5) , 1623-1633
- https://doi.org/10.1103/physrev.153.1623
Abstract
The saturation of the algebra at infinite momentum is discussed. A possible physical interpretation of the tensor generators of in terms of an assumption of partial conservation is critically analyzed. The implied occurrence of singularities in the tensor amplitudes requires a careful definition of a limiting procedure defining the tensor charges. A collinear limiting procedure, which relates the tensor charges to the total magnetic moments, appears as the most convenient one. The matrix elements of the tensor charges are then compared in the infinite-momentum limit with those of the electric dipoles, and the following implications are exhibited: The charge radii of baryons are pure ; the ratio of axial charges equals the corresponding ratio for the total baryon magnetic moments; a simple relation exists among the isovector total moment of the nucleon, the axial renormalization constant, and the charge radius of the proton; and an extended form of universality holds for tensor and axial currents. We also discuss the saturation of the unitary symmetric part of the commutators, particularly in connection with the possible occurrence of Schwinger terms.
Keywords
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