标题： 狄拉克-麦克斯韦孤子 显示英文标题

标题： Dirac--Maxwell Solitons

摘要： 对耦合的狄拉克-麦克斯韦方程及其解的结构进行了详细分析。 在球对称且引力自相互作用可忽略的情况下，场方程的数值解揭示了以电场占主导地位的孤子族的存在，这些孤子完全由基础粒子的观测电荷和质量决定。 发现了一个具有电子电荷和质量以及10^{-23} m电荷半径的孤子。这远低于目前实验确定的约10^{-18} m的上限。讨论了这些粒子的特性以及本文工作的可能扩展。 显示英文摘要

摘要： 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.