The cosmic-ray (CR) accelerator at the galactic centre (GC) is not yet
established by current observations. Here we investigate the
radiative-inefficient accretion flow (RIAF) of Sagittarius A* (SgrA*) as a CR
accelerator assuming acceleration by turbulent magnetic reconnection, and
derive possible emission fluxes of CRs interacting within the RIAF (the central
∼1013cm). The target environment of the RIAF is modelled with
numerical, general relativistic magneto-hydrodynamics (GRMHD) together with
leptonic radiative transfer simulations. The acceleration of the CRs is not
computed here. Instead, we inject CRs constrained by the magnetic reconnection
power of the accretion flow and compute the emission/absorption of
γ-rays due to these CRs interacting with the RIAF, through Monte Carlo
simulations employing the {\tt CRPropa 3} code. The resulting very-high-energy
(VHE) fluxes are not expected to reproduce the point source HESS J1745-290 as
the emission of this source is most likely produced at pc scales. The emission
profiles derived here intend to trace the VHE signatures of the RIAF as a CR
accelerator and provide predictions for observations of the GC with improved
angular resolution and differential flux sensitivity as those of the
forthcoming Cherenkov Telescope Array (CTA). Within the scenario presented
here, we find that for mass accretion rates ≳10−7M⊙yr−1, the RIAF of SgrA* produces VHE fluxes which are
consistent with the H.E.S.S. upper limits for the GC and potentially observable
by the future CTA. The associated neutrino fluxes are negligible compared with
the diffuse neutrino emission measured by the IceCube.Comment: Accepted for publication in the Ap