Nontopological solitons in the model of the self-interacting complex vector field

The model of the self-interacting complex vector field is considered. It is shown that there are nontopological solitons in this model, and research into their properties is undertaken. The asymptotic dependences on a phase frequency are derived for the energy and the Noether charge of the soliton in the thick-wall regime. The asymptotic expressions are obtained for the energy density, the Noether charge density, and the phase frequency of the soliton in the thin-wall regime. The soliton solutions of the model field equations are obtained numerically. The dependences on the phase frequency are presented for the energy and the Noether charge of the soliton. The dependence of the soliton energy on the soliton Noether charge is obtained numerically. It follows from this dependence that the nontopological soliton is unstable to the decay in the free massive vector bosons in the thick-wall regime but is stable to this decay in the thin-wall regime.