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Gauged Q ball in a piecewise parabolic potential

Xin-zhou Li·Jian-gang Hao·Dao-jun Liu·Guang Chen
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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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Xin-zhou Li, Jian-gang Hao, Dao-jun Liu, Guang Chen. 2002-05-02. Gauged Q ball in a piecewise parabolic potential. https://doi.org/10.1088/0305-4470%2F34%2F7%2F317

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