Issue
A&A
Volume 532, August 2011
Article Number C3
Number of page(s) 1
Section Extragalactic astronomy
DOI https://doi.org/10.1051/0004-6361/20066780e
Published online 03 August 2011

We have recently realized that, in Eq. (1) in Vreeswijk et al. (2007), the flux Fν(τ0) should be divided by 4   π. The relation should therefore read as follows:

dNudt=NlBluFν(τ0)4πNu[Aul+BulFν(τ0)4π]·\begin{equation} \frac{{\rm d}N_{\rm u}}{{\rm d}t} = N_{\rm l} B_{\rm lu} \frac{F_{\nu}(\tau_0)}{4\,\pi} - N_{\rm u} \left[A_{\rm ul}+B_{\rm ul} \frac{F_{\nu}(\tau_0)}{4\,\pi}\right]\cdot \label{eq:dndt} \end{equation}(1)Using this relation, our excitation program is now fully consistent with the PopRatio code (Silva & Viegas 2002, see also Sect. 5.2) when neglecting collisional excitation, and in the optically thin regime as PopRatio assumes all transitions are optically thin. The consequence is that excitation is a factor of 4   π less effective than we had previously assumed, resulting in a decreased distance estimate by a factor of 4π~3.5\hbox{$\sqrt{4\,\pi}\sim3.5$}. Therefore, the distance of GRB 060418 to the neutral absorbing material – previously d = 1.7 ± 0.2 kpc – needs to be revised to d = 0.48 ± 0.06 kpc, under the same model assumptions. The main conclusion of the paper, that the neutral absorbing gas is not in the immediate environment of GRB 060418, remains the same.

Since we applied the same excitation analysis in Sect. 4.1.3 of Fox et al. (2008) and in Sect. 2.3 of Ledoux et al. (2009), the distance estimates therein should also be scaled down by a factor of 4π\hbox{$\sqrt{4\,\pi}$}. The main conclusions of these two papers are not affected by this change either.

References

  1. Fox, A. J., Ledoux, C., Vreeswijk, P. M., Smette, A., & Jaunsen, A. O. 2008, A&A, 491, 189 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  2. Ledoux, C., Vreeswijk, P. M., Smette, A., et al. 2009, A&A, 506, 661 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  3. Silva, A. I., & Viegas, S. M. 2002, MNRAS, 329, 135 [NASA ADS] [CrossRef] [Google Scholar]
  4. Vreeswijk, P. M., Ledoux, C., Smette, A., et al. 2007, A&A, 468, 83 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]

© ESO, 2011

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