Spinorial solitary wave dynamics of a (1+3)-dimensional model.

Stable particlelike solutions of Poincare-invariant nonlinear spinorial equations have been shown to exist in 1+3 dimensions. ' The recent discovery of renormalization properties of a spinorial field with Fermi self-interactions in the (1+3)-dimensional case suppresses a possible handicap in order to propose its solitary waves as interesting models to describe the properties of elementary particles. 3 The present work is a contribution to the study of these objects as possible models for elementary constituents of matter. The field equation of the model is ly~8~$ —rtt tJg+ 2A. (QQ)tp = 0