Very high energy afterglow of structured jets: GW 170817 and prospects for future detections

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Table 5.

Posterior values for several derived quantities from the three fits of the afterglow of GW 170817.

Derived quantity	Model

	no SSC	SSC (Thomson)	SSC (KN)
log E₀ [erg]	$51 . 95_{- 1.13}^{+ 1.05}$ $51.95^{+1.05}_{-1.13}$	$52 . 41_{- 1.22}^{+ 1.04}$ $52.41^{+1.04}_{-1.22}$	$52 . 07_{- 1.19}^{+ 1.01}$ $52.07^{+1.01}_{-1.19}$
θ_v/θ_c	$11 . 95_{- 4.54}^{+ 5.29}$ $11.95^{+5.29}_{-4.54}$	$9 . 84_{- 2.59}^{+ 2.80}$ $9.84^{+2.80}_{-2.59}$	$11 . 19_{- 3.45}^{+ 3.58}$ $11.19^{+3.58}_{-3.45}$
log(E_0, iso^c/n_ext) [erg ⋅ cm³]	$54 . 90_{- 1.18}^{+ 1.08}$ $54.90^{+1.08}_{-1.18}$	$55 . 77_{- 0.43}^{+ 0.42}$ $55.77^{+0.42}_{-0.43}$	$54 . 79_{- 0.85}^{+ 0.86}$ $54.79^{+0.86}_{-0.85}$

log(θ_cΓ₀^c)	$1 . 15_{- 0.58}^{+ 0.48}$ $1.15^{+0.48}_{-0.58}$	$1 . 12_{- 0.54}^{+ 0.43}$ $1.12^{+0.43}_{-0.54}$	$1 . 17_{- 0.61}^{+ 0.44}$ $1.17^{+0.44}_{-0.61}$
8b/a	$5 . 40_{- 2.05}^{+ 1.81}$ $5.40^{+1.81}_{-2.05}$	$5 . 36_{- 1.94}^{+ 1.95}$ $5.36^{+1.95}_{-1.94}$	$5 . 54_{- 1.96}^{+ 1.91}$ $5.54^{+1.91}_{-1.96}$
−blog θ_c/logΓ₀^c	$1 . 21_{- 0.25}^{+ 0.23}$ $1.21^{+0.23}_{-0.25}$	$1 . 29_{- 0.28}^{+ 0.27}$ $1.29^{+0.27}_{-0.28}$	$1 . 22_{- 0.22}^{+ 0.25}$ $1.22^{+0.25}_{-0.22}$
(b − 1)log(θ_v/θ_c)/log(Γ₀^cθ_c)	$1 . 09_{- 0.38}^{+ 0.38}$ $1.09^{+0.38}_{-0.38}$	$1 . 10_{- 0.39}^{+ 0.39}$ $1.10^{+0.39}_{-0.39}$	$1 . 10_{- 0.34}^{+ 0.40}$ $1.10^{+0.40}_{-0.34}$

Notes. The three fits are presented in Sect. 4.2 and the posterior values of the free parameters are reported in Table 4. The table reports the median value of posterior distribution of each quantity. The uncertainties reported are the 90% credible intervals. The four last rows correspond to the quantities that appear in the conditions for single-peak light curves (Sect. 2.2).

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