Mass Levels of Spin 3/2 Resonant States and Ω-Baryon

It has been shownll that introducing three kinds of gauge fields 2) associated with the conservation of baryon number, strangeness and isospin, one can reproduce . the observed mass spectra of metastable baryons and mesons in terms of reasonable sizes of coupling constants and of cutoff momenta. It has been stated there1) that a similar determination of the resonant levels seems difficult. It will be shown in the present report, however, that a similar argument can be applied to spin 3/2 resonant state levels, if a suitable set of the parameters is chosen for each resonant state family. Strictly speaking, we must take common coupling constants fB, fs and fr, throughout all the families. For the sake of easier computation and in view of a. rough estimation, however, we first fix the cutoff momenta and determine the coupling constants. If the coupling constants thus determined are the same order of magnitude among the families, we can equate them by varying slightly the corresponding cutoff momenta. The results of this report