We study a system consisting of a non-Abelian SU(2) Proca field interacting with nonlinear scalar (Higgs) and spinor fields. For such a system, it is shown that particlelike solutions with finite energy do exist. It is demonstrated that the solutions depend on three free parameters of the system, including the central value of the scalar field ${\xi }_0$. For some fixed values of ${\xi }_0$, we find energy spectra of the solutions. It is shown that for each of the cases under consideration, there is a minimum value of the energy $\mathrm{\Delta }=\mathrm{\Delta }({\xi }_0)$ [the mass gap $\mathrm{\Delta }({\xi }_0)$ for a fixed value of ${\xi }_0$]. The behavior of the function $\mathrm{\Delta }({\xi }_0)$ is studied for some range of ${\xi }_0$.

• Received 3 March 2019

DOI:https://doi.org/10.1103/PhysRevD.99.076009

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Published by the American Physical Society