Required minimum cosmic-ray proton luminosity, L_CR, as a function of the emission radius R and power-law index s_CR for ﹩{\varepsilon }_{p}^{{\rm{\min }}}=10﹩ TeV and ﹩{\varepsilon }_{p}^{{\rm{\max }}}=30﹩ TeV in the minimum hadronic scenario for different values of τ_T. The blue and orange lines have the same meaning as in Figure 3. The red hatching represents the excluded region for ξ_B = 1.