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A non-Abelian gauge model with a complex isovector scalar field and a sixth-order self-interaction potential is considered. It is shown that it has a nontopological soliton solution. The features of this soliton include a monopole-like core surrounded by a Q-ball-like shell, the existence of radially excited states, and a long-range dipole chromomagnetic field. The properties of the soliton are studied using analytical and numerical methods. In particular, the asymptotic dependencies of the energy and the Noether charge on a phase frequency are obtained for two extreme regimes. It is also found that in these two extreme regimes, the chromomagnetic dipole moment of the soliton is proportional to its linear size.

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