SU_3 Triplets with Integral Electric Charge and the Baryon Structure
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概要
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In the light of the important results recently obtained in the SU_6 combination of non-relativistic spin and SU_3 symmetry, we rediscuss the problem of SU_3 triplets which would be the basic building blocks of mesons and baryons, concentrating on the case where the basic particles would have integral electric charge. In this case, whereas the SU_3 structure of mesons and baryons is known to be compatible with many different basic triplet models, SU_6 properties reduce the ambiguity to a large degree. If the number of basic triplets is kept to the minimum, which is two in the case of integral charges, one model appears to be strongly preferred on grounds of simplicity. It contains six basic particles of baryon number 1 and spin 1/2, forming an SU_3 triplet 3 (with charges 1, 0, 0) and an SU_3 triplet 3^^- (with charges 0, 1, 1). The SU_3 structure of baryons and mesons is studied in the framework of this model. The effect of the supercharge (i.e. of the additional quantum number occurring in the Gell-Mann-Nishijima formula when integrally charged triplets exist) on the baryon magnetic moments is estimated. It is expected to be less than 35% on the proton to neutron moment ratio and less than 20% on the lambda to neutron moment ratio. The rank three Lie groups which most naturally describe possible higher internal symmetries for the six basic particles (SO_6 and SP_6) are combined with spin, and the resulting non-relativistic coupling of all mesons to the baryons is found to belong to one single representation instead of two in the case of SU_6.
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