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

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Table 4.

Posterior values for the free parameters of the three fits of the afterglow of GW 170817.

Free	Model

Parameter	no SSC	SSC (Thomson)	SSC (KN)
log E_0, iso^c [erg]	$53 . 70_{- 1.15}^{+ 1.21}$ $53.70^{+1.21}_{-1.15}$	$54 . 11_{- 1.30}^{+ 1.14}$ $54.11^{+1.14}_{-1.30}$	$53 . 70_{- 1.32}^{+ 1.12}$ $53.70^{+1.12}_{-1.32}$
θ_c [°]	$1 . 77_{- 0.89}^{+ 1.12}$ $1.77^{+1.12}_{-0.89}$	$1 . 85_{- 0.82}^{+ 1.28}$ $1.85^{+1.28}_{-0.82}$	$2 . 07_{- 0.82}^{+ 0.83}$ $2.07^{+0.83}_{-0.82}$
θ_v [°]	$21 . 81_{- 7.02}^{+ 7.69}$ $21.81^{+7.69}_{-7.02}$	$17 . 16_{- 2.35}^{+ 2.50}$ $17.16^{+2.50}_{-2.35}$	$22 . 67_{- 5.58}^{+ 5.94}$ $22.67^{+5.94}_{-5.58}$
log n_ext [cm⁻³]	$- 1 . 09_{- 1.28}^{+ 1.09}$ $-1.09^{+1.09}_{-1.28}$	$- 1 . 61_{- 1.23}^{+ 1.08}$ $-1.61^{+1.08}_{-1.23}$	$- 1 . 03_{- 1.14}^{+ 1.03}$ $-1.03^{+1.03}_{-1.14}$
log ϵ_B	$- 4 . 09_{- 1.01}^{+ 1.36}$ $-4.09^{+1.36}_{-1.01}$	$- 4 . 43_{- 1.54}^{+ 1.39}$ $-4.43^{+1.39}_{-1.54}$	$- 4 . 08_{- 0.97}^{+ 1.19}$ $-4.08^{+1.19}_{-0.97}$
log ϵ_e	$- 2 . 73_{- 1.27}^{+ 0.99}$ $-2.73^{+0.99}_{-1.27}$	$- 2 . 97_{- 1.03}^{+ 1.13}$ $-2.97^{+1.13}_{-1.03}$	$- 2 . 81_{- 1.13}^{+ 1.15}$ $-2.81^{+1.15}_{-1.13}$
log ζ	$- 0 . 68_{- 1.05}^{+ 0.68}$ $-0.68^{+0.68}_{-1.05}$	$- 0 . 96_{- 0.96}^{+ 0.96}$ $-0.96^{+0.96}_{-0.96}$	$- 0 . 81_{- 1.07}^{+ 0.81}$ $-0.81^{+0.81}_{-1.07}$
p	$2 . 14_{- 0.02}^{+ 0.02}$ $2.14^{+0.02}_{-0.02}$	$2 . 14_{- 0.01}^{+ 0.01}$ $2.14^{+0.01}_{-0.01}$	$2 . 14_{- 0.02}^{+ 0.01}$ $2.14^{+0.01}_{-0.02}$
a	$3 . 14_{- 0.29}^{+ 0.30}$ $3.14^{+0.30}_{-0.29}$	$3 . 34_{- 0.50}^{+ 0.66}$ $3.34^{+0.66}_{-0.50}$	$3 . 19_{- 0.27}^{+ 0.30}$ $3.19^{+0.30}_{-0.27}$
logΓ₀^c	$2 . 68_{- 0.53}^{+ 0.32}$ $2.68^{+0.32}_{-0.53}$	$2 . 62_{- 0.49}^{+ 0.38}$ $2.62^{+0.38}_{-0.49}$	$2 . 64_{- 0.51}^{+ 0.36}$ $2.64^{+0.36}_{-0.51}$
b	$2 . 13_{- 0.78}^{+ 0.84}$ $2.13^{+0.84}_{-0.78}$	$2 . 20_{- 0.97}^{+ 1.07}$ $2.20^{+1.07}_{-0.97}$	$2 . 24_{- 0.80}^{+ 0.79}$ $2.24^{+0.79}_{-0.80}$

Notes. The three fits are presented in Sect. 4.2. The table reports the median value of the posterior distribution of each parameter. The reported uncertainties are the 90% credible intervals.

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