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Published April 19, 1965 | public
Journal Article Open

W-spin and B-spin subgroups of SU(12)

Abstract

Calculations of many physical processes according to the SU(12) theories(1) can be facilitated by the use of appropriate subgroups of SU(12). Direct calculations are difficult because of the complexity of the group and the present lack of available Clebsch-Gordan coefficients. Tables of SU(6) Clebsch-Gordan coefficients do exist,(2) however, and have been used for calculations of non-relativistic processes. In this paper we present SU(6) subgroups which differ from the conventional SU(6) by the replacement of ordinary spin by different SU(2) subgroups of SU(12).

Additional Information

©1965 The American Physical Society. Received 31 March 1965. Supported in part by the Office of Naval Research Contract No. NA-onr-11-65. We should like to acknowledge many stimulating discussions with H. Harari, D. Horn, M. Kugler, and C.A. Levinson.

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