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We consider configurations consisting of a gravitating nonlinear spinor field$\psi$, with a nonlinearity of the type $\lambda\left(\bar\psi\psi\right)^2$,minimally coupled to Maxwell and Proca fields through the coupling constants$Q_M$ [U(1) electric charge] and $Q_P$, respectively. In order to ensurespherical symmetry of the configurations, we use two spin-$1/2$ fields havingopposite spins. By means of numerical computations, we find families ofequilibrium configurations with a positive Arnowitt-Deser-Misner (ADM) massdescribed by regular zero-node asymptotically flat solutions for static Maxwelland Proca fields and for stationary spinor fields. For the case of the Maxwellfield, it is shown that, with increasing charge $Q_M$, the masses of theobjects increase and diverge as the charge tends to a critical value. Fornegative values of the coupling constant $\lambda$, we demonstrate that, bychoosing physically reasonable values of this constant, it is possible toobtain configurations with masses comparable to the Chandrasekhar mass and witheffective radii of the order of kilometers. It enables us to speak of anastrophysical interpretation of such systems, regarding them as charged Diracstars. In turn, for the system with the Proca field, it is shown that the massof the configurations also grows with increasing both $|\lambda|$ and thecoupling constant $Q_P$. Although in this case the numerical calculations donot allow us to make a definite conclusion about the possibility of obtainingmasses comparable to the Chandrasekhar mass for physically reasonable values of$\lambda$, one may expect that such masses can be obtained for certain valuesof free parameters of the system under consideration.

Dirac star in the presence of Maxwell and Proca fields