The dispersion of the Ep, i–Liso correlation of long gamma-ray bursts is partially due to assembling different sources (Corrigendum)

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Erratum

This article is an erratum for:
[https://doi.org/10.1051/0004-6361/202449165]

Table 1.

Sample of GRBs with redshift z, jet half-opening angle θ_j – both in the homogeneous interstellar medium (ISM) and wind profile (W) –, the Lorentz factor Γ₀, and the minimum variability timescale (MVT).

GRB	z	$θ_{j}^{(ISM)}$ $\theta_{\mathrm{j}}^{\mathrm{(ISM)}}$	$θ_{j}^{(W)}$ $\theta_{\mathrm{j}}^{\mathrm{(W)}}$	Γ₀	MVT	m	q	σ_int	N	(log(E_p, i/keV))_c
		(10⁻² rad)	(10⁻² rad)		(s)
090102	1.547	n.a.	n.a.	$215_{- 10}^{+ 11}$ $215^{+11}_{-10}$	$0 . 123_{- 0.032}^{+ 0.043}$ $0.123_{-0.032}^{+0.043}$	$0 . 86_{- 0.17}^{+ 0.17}$ $0.86_{-0.17}^{+0.17}$	$2 . 38_{- 0.09}^{+ 0.09}$ $2.38_{-0.09}^{+0.09}$	$0 . 19_{- 0.05}^{+ 0.08}$ $0.19_{-0.05}^{+0.08}$	18	2.52 ± 0.08
090323	3.5832	10.3 ± 4.3	4.5 ± 1.2	$489_{- 30}^{+ 30}$ $489^{+30}_{-30}$	$0 . 465_{- 0.120}^{+ 0.161}$ $0.465_{-0.120}^{+0.161}$	$0 . 54_{- 0.21}^{+ 0.23}$ $0.54_{-0.21}^{+0.23}$	$2 . 50_{- 0.26}^{+ 0.25}$ $2.50_{-0.26}^{+0.25}$	$0 . 27_{- 0.06}^{+ 0.08}$ $0.27_{-0.06}^{+0.08}$	32	2.59 ± 0.21
090328	0.736	n.a.	n.a.	$141_{- 11}^{+ 15}$ $141^{+15}_{-11}$	$0 . 189_{- 0.049}^{+ 0.065}$ $0.189_{-0.049}^{+0.065}$	$0 . 65_{- 0.15}^{+ 0.14}$ $0.65_{-0.15}^{+0.14}$	$2 . 96_{- 0.09}^{+ 0.09}$ $2.96_{-0.09}^{+0.09}$	$0 . 19_{- 0.05}^{+ 0.07}$ $0.19_{-0.05}^{+0.07}$	24	3.07 ± 0.11
090424	0.544	< 23.1	< 16.1	$300_{- 79}^{+ 79}$ $300^{+79}_{-79}$	$0 . 073_{- 0.019}^{+ 0.025}$ $0.073_{-0.019}^{+0.025}$	$0 . 44_{- 0.05}^{+ 0.05}$ $0.44_{-0.05}^{+0.05}$	$2 . 19_{- 0.03}^{+ 0.03}$ $2.19_{-0.03}^{+0.03}$	$0 . 10_{- 0.02}^{+ 0.03}$ $0.10_{-0.02}^{+0.03}$	34	2.27 ± 0.03
091208B	1.0633	< 14.8	< 13.8	$500_{- 33}^{+ 33}$ $500^{+33}_{-33}$	$0 . 092_{- 0.024}^{+ 0.032}$ $0.092_{-0.024}^{+0.032}$	$0 . 46_{- 0.07}^{+ 0.07}$ $0.46_{-0.07}^{+0.07}$	$2 . 24_{- 0.04}^{+ 0.03}$ $2.24_{-0.04}^{+0.03}$	$0 . 04_{- 0.03}^{+ 0.05}$ $0.04_{-0.03}^{+0.05}$	13	2.32 ± 0.05
100414A	1.368	n.a.	n.a.	$262_{- 7}^{+ 8}$ $262^{+8}_{-7}$	$0 . 105_{- 0.027}^{+ 0.036}$ $0.105_{-0.027}^{+0.036}$	$0 . 87_{- 0.36}^{+ 0.37}$ $0.87_{-0.36}^{+0.37}$	$2 . 43_{- 0.30}^{+ 0.29}$ $2.43_{-0.30}^{+0.29}$	$0 . 22_{- 0.06}^{+ 0.10}$ $0.22_{-0.06}^{+0.10}$	16	2.58 ± 0.24
100728A	1.567	n.a.	n.a.	$250_{- 8}^{+ 9}$ $250^{+9}_{-8}$	$0 . 101_{- 0.026}^{+ 0.035}$ $0.101_{-0.026}^{+0.035}$	$0 . 45_{- 0.09}^{+ 0.08}$ $0.45_{-0.09}^{+0.08}$	$2 . 69_{- 0.03}^{+ 0.04}$ $2.69_{-0.03}^{+0.04}$	$0 . 12_{- 0.02}^{+ 0.03}$ $0.12_{-0.02}^{+0.03}$	46	2.77 ± 0.03
100906A	1.727	2.9 ± 0.1	3.0 ± 0.1	< 369	$0 . 917_{- 0.236}^{+ 0.317}$ $0.917_{-0.236}^{+0.317}$	$0 . 74_{- 0.18}^{+ 0.17}$ $0.74_{-0.18}^{+0.17}$	$2 . 20_{- 0.08}^{+ 0.09}$ $2.20_{-0.08}^{+0.09}$	$0 . 16_{- 0.06}^{+ 0.09}$ $0.16_{-0.06}^{+0.09}$	9	2.32 ± 0.08
120711A	1.405	n.a.	n.a.	$250_{- 7}^{+ 7}$ $250^{+7}_{-7}$	$0 . 083_{- 0.021}^{+ 0.029}$ $0.083_{-0.021}^{+0.029}$	$0 . 62_{- 0.11}^{+ 0.11}$ $0.62_{-0.11}^{+0.11}$	$2 . 61_{- 0.09}^{+ 0.10}$ $2.61_{-0.09}^{+0.10}$	$0 . 12_{- 0.04}^{+ 0.05}$ $0.12_{-0.04}^{+0.05}$	27	2.72 ± 0.08
140508A	1.027	n.a.	n.a.	$500_{- 16}^{+ 17}$ $500^{+17}_{-16}$	$1 . 044_{- 0.268}^{+ 0.361}$ $1.044_{-0.268}^{+0.361}$	$0 . 61_{- 0.12}^{+ 0.11}$ $0.61_{-0.12}^{+0.11}$	$2 . 40_{- 0.07}^{+ 0.07}$ $2.40_{-0.07}^{+0.07}$	$0 . 24_{- 0.05}^{+ 0.07}$ $0.24_{-0.05}^{+0.07}$	32	2.51 ± 0.08
140512A	0.725	4.7 ± 0.1	5.2 ± 0.1	$92_{- 8}^{+ 11}$ $92^{+11}_{-8}$	$0 . 434_{- 0.112}^{+ 0.150}$ $0.434_{-0.112}^{+0.150}$	$0 . 46_{- 0.11}^{+ 0.10}$ $0.46_{-0.11}^{+0.10}$	$2 . 90_{- 0.09}^{+ 0.09}$ $2.90_{-0.09}^{+0.09}$	$0 . 11_{- 0.04}^{+ 0.05}$ $0.11_{-0.04}^{+0.05}$	21	2.98 ± 0.12
151027A	0.81	7.9 ± 0.9	8.3 ± 0.6	$143_{- 17}^{+ 20}$ $143^{+20}_{-17}$	$1 . 845_{- 0.474}^{+ 0.638}$ $1.845_{-0.474}^{+0.638}$	$0 . 57_{- 0.27}^{+ 0.28}$ $0.57_{-0.27}^{+0.28}$	$2 . 72_{- 0.27}^{+ 0.28}$ $2.72_{-0.27}^{+0.28}$	$0 . 28_{- 0.08}^{+ 0.14}$ $0.28_{-0.08}^{+0.14}$	15	2.82 ± 0.32
160509A	1.17	9.2 ± 0.7	5.4 ± 0.3	$470_{- 21}^{+ 22}$ $470^{+22}_{-21}$	$0 . 515_{- 0.132}^{+ 0.178}$ $0.515_{-0.132}^{+0.178}$	$0 . 27_{- 0.06}^{+ 0.06}$ $0.27_{-0.06}^{+0.06}$	$2 . 58_{- 0.04}^{+ 0.05}$ $2.58_{-0.04}^{+0.05}$	$0 . 15_{- 0.03}^{+ 0.03}$ $0.15_{-0.03}^{+0.03}$	50	2.63 ± 0.04
160625B	1.406	14.8 ± 1.0	6.0 ± 0.3	$860_{- 19}^{+ 19}$ $860^{+19}_{-19}$	$0 . 174_{- 0.045}^{+ 0.060}$ $0.174_{-0.045}^{+0.060}$	$0 . 38_{- 0.05}^{+ 0.05}$ $0.38_{-0.05}^{+0.05}$	$2 . 46_{- 0.07}^{+ 0.08}$ $2.46_{-0.07}^{+0.08}$	$0 . 16_{- 0.02}^{+ 0.03}$ $0.16_{-0.02}^{+0.03}$	73	2.53 ± 0.06
170405A	3.510	2.0 ± 0.1	2.8 ± 0.1	n.a.	$0 . 605_{- 0.155}^{+ 0.209}$ $0.605_{-0.155}^{+0.209}$	$0 . 33_{- 0.17}^{+ 0.16}$ $0.33_{-0.17}^{+0.16}$	$2 . 70_{- 0.20}^{+ 0.20}$ $2.70_{-0.20}^{+0.20}$	$0 . 13_{- 0.04}^{+ 0.06}$ $0.13_{-0.04}^{+0.06}$	23	2.76 ± 0.16
171010A ^(a)	0.3285	< 11.0	n.a.	$201_{- 7}^{+ 7}$ $201^{+7}_{-7}$	$0 . 364_{- 0.094}^{+ 0.126}$ $0.364_{-0.094}^{+0.126}$	$0 . 40_{- 0.05}^{+ 0.05}$ $0.40_{-0.05}^{+0.05}$	$2 . 39_{- 0.04}^{+ 0.04}$ $2.39_{-0.04}^{+0.04}$	$0 . 19_{- 0.02}^{+ 0.02}$ $0.19_{-0.02}^{+0.02}$	162	2.46 ± 0.05
180720B	0.654	7.2 ± 0.7	5.3 ± 0.3	n.a.	$0 . 090_{- 0.023}^{+ 0.031}$ $0.090_{-0.023}^{+0.031}$	$0 . 36_{- 0.06}^{+ 0.06}$ $0.36_{-0.06}^{+0.06}$	$2 . 60_{- 0.04}^{+ 0.04}$ $2.60_{-0.04}^{+0.04}$	$0 . 18_{- 0.02}^{+ 0.03}$ $0.18_{-0.02}^{+0.03}$	93	2.66 ± 0.03
181020A	2.938	2.1 ± 0.3	2.0 ± 0.2	n.a.	$0 . 376_{- 0.097}^{+ 0.130}$ $0.376_{-0.097}^{+0.130}$	$0 . 39_{- 0.18}^{+ 0.18}$ $0.39_{-0.18}^{+0.18}$	$2 . 58_{- 0.24}^{+ 0.23}$ $2.58_{-0.24}^{+0.23}$	$0 . 11_{- 0.04}^{+ 0.09}$ $0.11_{-0.04}^{+0.09}$	10	2.66 ± 0.21
190114C	0.4245	3.2 ± 0.5	3.2 ± 0.3	n.a.	$0 . 098_{- 0.025}^{+ 0.034}$ $0.098_{-0.025}^{+0.034}$	$0 . 61_{- 0.04}^{+ 0.04}$ $0.61_{-0.04}^{+0.04}$	$2 . 43_{- 0.04}^{+ 0.04}$ $2.43_{-0.04}^{+0.04}$	$0 . 20_{- 0.03}^{+ 0.04}$ $0.20_{-0.03}^{+0.04}$	64	2.53 ± 0.04
221010A ^(b)	4.615	$6_{- 2}^{+ 1}$ $6_{-2}^{+1}$	n.a.	n.a.	n.a.	$0 . 40_{- 0.10}^{+ 0.09}$ $0.40_{-0.10}^{+0.09}$	$2 . 48_{- 0.12}^{+ 0.13}$ $2.48_{-0.12}^{+0.13}$	$0 . 12_{- 0.03}^{+ 0.04}$ $0.12_{-0.03}^{+0.04}$	31	2.56 ± 0.10

Notes. Values of z and θ_j are from Zhao et al. (2020), Γ₀ from Ghirlanda et al. (2018), and MVT from Camisasca et al. (2023). Also reported are the best-fit parameters of the E_p, i–L_iso correlation (90% confidence), the number of spectra N, and the representative value of log E_p, i computed at a common reference luminosity (see Sect 3.2).

^(a)

$θ_{j}^{(ISM)}$ $\theta_{\mathrm{j}}^{\mathrm{(ISM)}}$ is taken from Chand et al. (2019).

^(b)

z and $θ_{j}^{(ISM)}$ $\theta_{\mathrm{j}}^{\mathrm{(ISM)}}$ are taken from Zhu et al. (2023).

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