Gamma-ray spectrum of RX J1713.7-3946 in the Fermi era and future detection of neutrinos

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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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