Table 6: Expected limits on the CRp scaling parameter $X_{\rm CRp}$ by comparing the integrated pion decay induced $\gamma $-ray flux above 100 GeV to sensitivity limits of Cerenkov telescopes of $\mathcal{F}_{\gamma,~{\rm exp}}(E>E_{\rm thr}) =
10^{-12}~\gamma \mbox{ cm}^{-2} \mbox{ s}^{-1}
~ (E_{\rm thr}/100 \mbox{ GeV})^{1-\alpha_\gamma}$ assuming a $\gamma $-ray spectral index in Dermer's model $\alpha _\gamma =\alpha _{\rm p}$. Note that limits on $X_{\rm CRp}$ roughly $\protect\la $0.01 for $\alpha _{\rm p}= 2.3$ in the isobaric model provide good chances to detect $\gamma $-rays in these particular clusters with new generation Cerenkov telescopes.
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...{-1}$ & $5.3 \times 10^{-1}$ &&&& \\
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