Spinor soliton with electromagnetic field

In this paper, the spinor soliton coupling with its own electromagnetic field is computed by the first order approximation of the energy functional. The numerical calculation disclosed that (1) the soliton do exists, and only a few of meaningful solutions exist, (2) this nonlinear model for an electron implies the abnormal magneton, (3) the structural parameters of the soliton such as the rest massm, the mean radius\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\bar r$$ \end{document}, the weakly coupling constantw, are determined by empirical data. Besides, the method used in the paper is verified to be an efficient tool for solving the nonlinear spinor equation. The results are compared with those of the dark soliton.