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Table 1:

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).
    (a) $\pi ^0$ model (b) IC model
         $\alpha\approx2-s_{\rm p}$      $\alpha=-(s_{\rm e}-3)/2$
I Efficient acc. (strong B-field) (Ia) $s_{\rm p}\approx1.5$, $\alpha\approx0.5$ (Ib) $s_{\rm e}\approx2.5$, $\alpha\approx0.25$
II Inefficient acc. (moderate B-field) (IIa) $s_{\rm p}\approx2$, $\alpha\approx0$ (IIb) $s_{\rm e}\approx3$, $\alpha\approx0$
III Inefficient acc. (weak B-field) (IIIa) $s_{\rm p}\approx2$, $\alpha\approx0$ (IIIb) $s_{\rm e}\approx2$, $\alpha\approx0.5$

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