The Fundamental Triplet and Its New Degree of Freedom

Abstract

The urbaryons which form a triplet state with respect to the usual SU3 group are assumed also to belong to the three-dimensional representation of the new su3 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 SU3 and an octet with respect to the new SU3 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 SU3 group and are singlets with respect to the new SU3 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.