Abstract:
We present the analytic approach for constructing $Q$-ball solutions in the general case of a sixth-order potential. In particular, we show that the symmetrized Woods–Saxon function describes the $Q$-ball profile function. The energy and charge can therefore be evaluated explicitly.
Citation:
T. A. Ioannidou, A. Kouiroukidis, N. D. Vlachos, “An Analytic Approach to $Q$-Balls”, TMF, 144:2 (2005), 342–347; Theoret. and Math. Phys., 144:2 (2005), 1171–1175