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APS » Journals » Phys. Rev. A » Volume 60 » Issue 6
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Phys. Rev. A 60, 4291–4300 (1999)

Dirac-Maxwell solitons

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C. Sean Bohun1 and F. I. Cooperstock2
1Department of Mathematics and Statistics, University of Victoria, P.O. Box 3045, Victoria, British Columbia, Canada V8W 3P4
2Department of Physics and Astronomy, University of Victoria, P.O. Box 3055, Victoria, British Columbia, Canada V8W 3P6

Received 22 December 1998; published in the issue dated December 1999

Detailed analysis of the coupled Dirac-Maxwell equations and the structure of their solutions is presented. Numerical solutions of the field equations in the case of spherical symmetry with negligible gravitational self-interaction reveal the existence of families of solitons with electric-field dominance that are completely determined by the observed charge and mass of the underlying particles. A soliton is found which has the charge and mass of the electron as well as a charge radius of 10-23 m. This is well within the present experimentally determined upper limit of ≃10-18 m. Properties of these particles as well as possible extension to the work herein are discussed.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.60.4291
DOI:
10.1103/PhysRevA.60.4291
PACS:
12.20.Ds, 03.65.Ge, 11.10.Lm
 
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