Proton (left) and electron (right) spectra fitted to the gamma-ray emission at the base of the FBs. Solid lines show the best-fit spectra in the rectangles model of the FBs. The shaded bands represent the systematic uncertainties, estimated from the maximal and minimal best-fit FBs spectra among the foreground models. Uncertainties in the ISRF energy density near the GC result in an additional factor of ~2 uncertainties in the CRe energy density (see Appendix C for details). For comparison with the local CR spectrum, we show the local fluxes of CRp measured by AMS-02 (Aguilar et al. 2015) and CRe measured by H.E.S.S. (Aharonian et al. 2008), AMS-02 (Aguilar et al. 2014), Fermi-LAT (Abdollahi et al. 2017), and DAMPE (Ambrosi et al. 2017). The error bars represent the systematic and statistical uncertainties added in quadrature.