Spatially regular charged black holes supporting charged massive scalar clouds

We prove that, as opposed to the familiar charged Reissner-Nordström black-hole spacetime, the spatially regular charged Ayón-Beato-García (ABG) black-hole spacetime can support charged scalar clouds, spatially regular stationary matter configurations which are made of linearized charged massive scalar fields. Interestingly, we reveal the fact that the composed black-hole-field system is amenable to an analytical treatment in the regime $Q\mathrm{/}M\ll 1\ll M\mu$ of weakly charged black holes and large-mass fields, in which case it is proved that the dimensionless physical parameter $\alpha \equiv \frac{qQ}{M\mu }$ must lie in the narrow interval $\alpha \in (\sqrt{\frac{3240}{6859}},\frac{16}{23})$ [here $\{M,Q\}$ are the mass and electric charge of the central black hole and $\{\mu ,q\}$ are the proper mass and charge coupling constant of the supported scalar field]. In particular, we explicitly prove that, for weakly charged black holes, the discrete resonance spectrum $\{\alpha (M,Q,\mu ,q;n{\}}_{n=0}^{n=\mathrm{\infty }}$ of the composed charged-ABG-black-hole-charged-massive-scalar-field cloudy configurations can be determined {\it analytically} in the eikonal large-mass regime.