Gauged Q ball in a piecewise parabolic potential

Abstract

Q ball solutions are considered within the theory of a complex scalar field with a gauged U(1) symmetry and a parabolic-type potential. In the thin-walled limit, we show explicitly that there is a maximum size for these objects because of the repulsive Coulomb force. The size of Q ball will increase with the decrease of local minimum of the potential. And when the two minima degenerate, the energy stored within the surface of the Q ball becomes significant. Furthermore, we find an analytic expression for gauged Q ball, which is beyond the conventional thin-walled limit.

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• Solitons in the supersymmetric extensions of the Standard Model
• New physics in a nutshell, or Q-ball as a power plant
• Phase transitions precipitated by solitosynthesis
• Star Wreck

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