  Initially applied to the scalar case, we extend the applicability of the
multi-field generalization with angular momentum of bosonic stars to the vector
case, in order to obtain new configurations that generalize the one-field
spherical Proca stars. These new objects, which we call $\ell$-Proca stars,
arise as stationary and spherically symmetric bosonic stars solutions of the
Einstein-(multi)Proca system, whose matter content is formed by an arbitrary
odd number of $2\ell+1$ of complex Proca fields with the same mass,
time-frequency, radial profile and angular momentum number $\ell$. We analyze
the system of constraint and evolution radial equations for the matter content
to show the consistency of our proposal, and obtain numerically the ground
states of these new solutions for the first few values of $\ell$ using spectral
methods.
