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


Table 2.

Best-fit parameters of the Ep, iL correlation (90% confidence) for the overall sample 𝒮 and for the sub-samples 𝒮(ISM) and 𝒮(W) of time-resolved spectra of GRBs with available information on θ j ( ISM ) $ \theta_{\mathrm{j}}^{\mathrm{(ISM)}} $ and on θ j ( W ) $ \theta_{\mathrm{j}}^{\mathrm{(W)}} $, respectively.

Set Nint NGRB mt qt σint, t
Ep, iLiso 𝒮 793 20 0 . 46 0.02 + 0.02 $ 0.46_{-0.02}^{+0.02} $ 2 . 50 0.02 + 0.02 $ 2.50_{-0.02}^{+0.02} $ 0 . 24 0.01 + 0.01 $ 0.24_{-0.01}^{+0.01} $
Ep, iLiso 𝒮(ISM) 421 11 0 . 41 0.02 + 0.02 $ 0.41_{-0.02}^{+0.02} $ 2 . 54 0.02 + 0.02 $ 2.54_{-0.02}^{+0.02} $ 0 . 23 0.01 + 0.01 $ 0.23_{-0.01}^{+0.01} $
Ep, iLiso 𝒮(W) 390 10 0 . 41 0.02 + 0.02 $ 0.41_{-0.02}^{+0.02} $ 2 . 53 0.02 + 0.02 $ 2.53_{-0.02}^{+0.02} $ 0 . 24 0.01 + 0.02 $ 0.24_{-0.01}^{+0.02} $

m ¯ ± σ m $ \bar{m} \pm \sigma_m $ q ¯ ± σ q $ \bar{q} \pm \sigma_q $ σ ¯ int ± σ σ $ \bar{\sigma}_{\mathrm{int}} \pm \sigma_\sigma $

Ep, iLiso 𝒮 793 20 0.52 ± 0.17 2.52 ± 0.21 0.16 ± 0.06

mcoll qcoll σcoll

Ep, i L coll ( ISM ) $ L_{\mathrm{coll}}^{\mathrm{(ISM)}} $ 𝒮(ISM) 421 11 0 . 29 0.02 + 0.02 $ 0.29_{-0.02}^{+0.02} $ 3 . 34 0.05 + 0.05 $ 3.34_{-0.05}^{+0.05} $ 0 . 29 0.02 + 0.02 $ 0.29_{-0.02}^{+0.02} $
Ep, i L coll ( W ) $ L_{\mathrm{coll}}^{\mathrm{(W)}} $ 𝒮(W) 390 10 0 . 38 0.02 + 0.02 $ 0.38_{-0.02}^{+0.02} $ 3 . 68 0.06 + 0.06 $ 3.68_{-0.06}^{+0.06} $ 0 . 25 0.02 + 0.02 $ 0.25_{-0.02}^{+0.02} $

Notes. We note that Nint and NGRB are the total number of intervals and the number of GRBs, respectively, while m ¯ ± σ m $ \bar{m} \pm \sigma_m $, q ¯ ± σ q $ \bar{q} \pm \sigma_q $, and σ ¯ int ± σ σ $ \bar{\sigma}_{\mathrm{int}} \pm \sigma_{\sigma} $ are the mean values and standard deviations of the distributions of the best-fit parameters of the individual GRBs reported in Table 1. The luminosity is either isotropic-equivalent (iso) or collimation-corrected (coll).

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