Description for resonances by the vibrational mode and the micrononcausal Euclidean wave functions

We had described the micrononcausal Euclidean wave functions for elementary particles using the representations of the group O(4) and its covering group SU(2) X SU(2). The many resonance particles which possess the same spin, isospin and strangespin are now observed. Their internal wave functions are assigned to the same representations in our theory. Then, we will describe them introducing the vibrational mode similar to the vibrations of the polyatomic molecular model. The analysis on the unflavored meson resonances can be considered as a satisfactory indication. (author)