The Fundamental Triplet and Its New Degree of Freedom

概要

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The urbaryons which form a triplet state with respect to the usual SU_3 group are assumed also to belong to the three-dimensional representation of the new SU_3 group introduced in this paper. We assume further that the forces between urbaryons and/or anti-urbaryons are mediated by a vector meson which is a singlet with respect to the usual SU_3 and an octet with respect to the new SU_3 group. Under these simple assumptions we can understand the essential features of the urbaryon dynamics at least in the non-relativistic approximation which seems to be valid for bound states of massive urbaryons and/or anti-urbaryons. For example we can show that the potential energy between an urbaryon and an anti-urbaryon is twice as attractive as the potential between two urbaryons, and stable bound states are confined to the states which belong to the regular representations (1, 8, 10, . . .) of the usual SU_3 group and are singlets with respect to the new SU_3 group. Thus the meson states and baryon states are understood on the same footing. No para-statistics is necessary. These urbaryons may be quarks, but it is shown that there is the possibility of assigning integral charges to the urbaryons.
理論物理学刊行会の論文
1966-07-25