Gamma-ray luminosity and average CR energy density for our satisfactory models. Left panel: gamma-ray luminosity profiles from Sgr A* along the Galactic disk, taken from Fig. 3 and from Paper I. Right panel: corresponding average CR energy densities. Black crosses denote the observed gamma-ray luminosity (left panel) and the indirect observations of CRs (right panel) computed by H.E.S.S. Collaboration (2016). Yellow squares and cyan diamonds correspond to the CMZ ring and disk models without differential diffusion and polar advection developed in Paper I. On the disk model, the only CR source is the NSC, while on the ring model the CR sources are the NSC and Sgr A East. Red triangles correspond to the new model with the CMZ as a ring, considering differential diffusion, polar advection, and CR injection from all sources (NSC, Sgr A East, AC and QC).