A Variant Triplet Model and Integral Charge

概要

論文の詳細を見る
A variant form of Sakata model for elementary particles is proposed. The fundamental triplet is assumed to obey para-Fermi statistics with capacity 3, and to be characterized by the three quantum numbers, the third component of isospin, the strangeness and the triplet number. It is not an eigenstate of electric and hyper charges, while it has definite expectation values for both charges, (2/3, -1/3, -1/3) and (1/3, 1/3, -2/3) respectively. The triplet state can be treated as mixture of three sets of sub-triplets which are ordinary fermions with an appropriate description. It is possible to assign them integral eigenvalues for electric and hyper charges. Under the restriction that the physically realizable states should be eigenstates of both charges, it is shown that most of lowlying states are the ones which are actually observed. Although the isolated existence of the triplet state is ruled out, the group theoretical arguments for the realizable states, such as the ratio of magnetic moments of baryons in U(6) symmetry, are not affected.
理論物理学刊行会の論文