arXiv · 0812.3284
Compact Q-balls and Q-shells in a scalar electrodynamics
Abstract
We investigate spherically symmetric non topological solitons in electrodynamics with a scalar field self interaction U ~|ψ| taken from the complex signum-Gordon model. We find Q-balls for small absolute values of the total electric charge Q, and Q-shells when |Q| is large enough. In both cases the charge density exactly vanishes outside certain compact region in the three dimensional space. The dependence of the total energy E of small Q-balls on the total electric charge has the form E ~ |Q|^(5/6), while in the case of very large Q-shells E ~ |Q|^(7/6).
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H. Arodź, J. Lis. 2008-12-17. Compact Q-balls and Q-shells in a scalar electrodynamics. https://doi.org/10.1103/physrevd.79.045002
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