\begin{table}%t1 \caption{Spectral index of $\nu F_\nu$ spectrum of gamma-rays ($\nu F_\nu\propto\nu^\alpha$) for various cases. Hadronic emission model in the case of efficient acceleration (Ia) predicts similar $\gamma$-ray spectral slope with the leptonic, inefficient acceleration model with weak magnetic field (IIIb). On the other hand, hadronic inefficient acceleration models (IIa and IIIa) predict similar $\gamma$-ray spectral slope with the leptonic, moderate magnetic field model (IIb). } \label{table:1} %\centering \par \begin{tabular}{c l | l | l} \hline\hline % & & (a) $\pi^0$ model & (b) IC model \\ & & ~~~~ $\alpha\approx2-s_{\rm p}$ & ~~~~ $\alpha=-(s_{\rm e}-3)/2$ \\ % \hline % I & Efficient acc. (strong $B$-field) & (Ia) $s_{\rm p}\approx1.5$, $\alpha\approx0.5$ & (Ib) $s_{\rm e}\approx2.5$, $\alpha\approx0.25$ \\ % %\hline % II & Inefficient acc. (moderate $B$-field) & (IIa) $s_{\rm p}\approx2$, $\alpha\approx0$ & (IIb) $s_{\rm e}\approx3$, $\alpha\approx0$ \\ % %\hline % III & Inefficient acc. (weak $B$-field) & (IIIa) $s_{\rm p}\approx2$, $\alpha\approx0$ & (IIIb) $s_{\rm e}\approx2$, $\alpha\approx0.5$ \\ % \hline \end{tabular} \end{table}