Publication: Spinorial solitary wave dynamics of a (1+3)-dimensional model
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Publication Date
1985-05-15
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American Physical Society
Abstract
The interaction dynamics for the minimum solitary waves of the classical Dirac field with scalar selfinteraction in 1+3 dimensions is exhibited. It is shown that the possibility to use these waves as models of elementary particles, as has been suggested before, is ruled out by the radiative nature of the above interaction.
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© 1985 The American Physical Society. We are indebted to Professor M. Soler and Professor A. F. Ranada for discussions, and the Fusion Division (Junta de Energia Nuclear), Madrid, for use of computer facilities. This work is part of a program partially supported by Comision Asesora de Investigacion Cientifica y Tecnica (CAICYT).
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1 A. Álvarez and M. Soler, Phys. Rev. Lett. 50, 1230 (1983).
2 P. Furlan and R. Raqzka, Ann. Phys. (N.Y.) 149, 296 (1983),and references therein.
3 See, for a review on static properties of spinorial solitary waves, A. F. Ranada, in Classica/ Nonlinear Dirac Field Models of Extended Particles, edited by A. O. Barut (Reidel, Dordrecht, 1983); P. du T. van der Merwe, Nuovo Cimento 60A, 247 (1980).
4 M. Soler, Phys. Rev. D 1, 2766 (1970).
5 P. Furlan and R. Raqzka, Ref. 2.
6 A. Álvarez and B. Carreras, Phys. Lett. 86A, 327 (1981).
7 A. F. Ranada and M. F. Ranada, Physics D 9, 251 (1983); Phys. Rev. D 29, 985 (1984).