On the covariant extension of SU (6)

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Abstract

The covariant generalizations of SU (6) in variant interactions are considered within the framework of U (6)(x) U (6). This group, in general, appears to lead to parity doubling for the mesons, but not the baryons. However, the parity doubling interpretation implies indefinite metric, which can be avoided by using the Bargmann—Wigner equations to eliminate the offending terms. These equations relate sets of terms, which would together make multiplets of (12), and the multiplets correspond physically to those of SU (6). ). Five different Yukawa interactions are derived, invariant with respect to U (6)(x) U (6), all of which have the SU (6) static limit. The linear combination of these is found which is invariant for (12).

Publisher

The Royal Society

Subject

Pharmacology (medical)

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