Abstract
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\(\bar r\), 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.
Similar content being viewed by others
References
Finkelsten R, et al,Phys. Rev.,83 (2), (1951) 326–332.
Soler M.,Phys. Rev.,D1 (10), (1970) 2766–2767.
Gu Y. Q., Some properties of the spinor soliton,Advances in Applied Clifford Algebras,8 (1), (1998) 17–29.
Wakano M.,Prog. Theor. Phys.,35 (6), (1996) 1117–1141.
Soler M.,Phys. Rev.,D 8 (10), (1973) 3424–3429.
Bañada A. F., M. Soler,Phys. Rev.,D 8 (10), (1973) 3430–3433
Bañada A. F., J. Usôn, L. Vázquez,Phys. Rev.,D 22 (10), (1980) 2422–2424.
Gu Y. Q., Ph. D. Thesis, Inst. of Math., Fudan Univ., China, 1995.
Gu Y. Q., A Canonical Form for Relativistic Dynamic Equation,Adv. Appl. Cliff. Alg. 7 (1), (1997) 13–24.
Gu Y. Q., New approach to the relativistic quantum mechanics for the n-electron 1. the classical approximation, Submitted to Adv. Appl. Cliff. Alg. (1997).
Gu Y. Q., New approach to the relativistic quantum mechanics for the n-electron II. the nonrelativistic approximation, Submitted to Adv. Appl. Cliff. Alg. (1997)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ying-Qiu, G. Spinor soliton with electromagnetic field. AACA 8, 271–282 (1998). https://doi.org/10.1007/BF03043099
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF03043099