Open Access
Erratum
This article is an erratum for:
[https://doi.org/10.1051/0004-6361/202038840]


Issue
A&A
Volume 668, December 2022
Article Number C2
Number of page(s) 1
Section Galactic structure, stellar clusters and populations
DOI https://doi.org/10.1051/0004-6361/202038840e
Published online 08 December 2022

We have identified several typographical errors in our paper. These typos did not affect our modelling, and all results presented in Sysoliatina & Just (2021) remain valid.

First, the star-formation rate (SFR) parameters ζ and η were by mistake interchanged in Eq. (11). The correct expression for the galactic time corresponding to the SFR maximum reads

t max = ζ t d 2 η 2 ζ ( 1 + 1 + η 2 2 ζ η ζ 2 t d 1 2 t d 2 2 ) | t d 1 = 0 Gyr = 2 ζ t d 2 η 2 ζ . $$ \begin{aligned} t_\mathrm{max} = \frac{\zeta t_\mathrm{d2} }{\eta - 2 \zeta } \left( 1 + \sqrt{1 + \frac{\eta ^2 - 2 \zeta \eta }{\zeta ^2} \frac{t_\mathrm{d1} ^2}{t_\mathrm{d2} ^2}} \right) \bigg |_{t_\mathrm{d1} = 0 \ \text{ Gyr}} = \frac{2 \zeta t_\mathrm{d2} }{\eta - 2\zeta }. \end{aligned} $$(1)

Second, there was a minus sign missing in the second exponent of the second term of Eq. (17). The formula for the convolution of a linear cumulative metallicity distribution with aGaussian kernel should read

C ( x ) = 1 2 ( k x + b ) · [ Erf ( k x + b 2 k σ ) Erf ( k x + b 1 2 k σ ) ] + k σ 2 π [ exp ( ( k x + b ) 2 2 k 2 σ 2 ) exp ( ( k x + b 1 ) 2 2 k 2 σ 2 ) ] + 1 2 [ 1 + Erf ( k x + b 1 2 k σ ) ] , where x = [ Fe / H ] . $$ \begin{aligned} C(x)&= \frac{1}{2}(kx+b) \cdot \left[\mathrm{Erf} \left(\frac{kx+b}{\sqrt{2}k\sigma } \right) - \mathrm{Erf} \left(\frac{kx+b-1}{\sqrt{2}k\sigma } \right) \right] \nonumber \\&\quad + \frac{k\sigma }{\sqrt{2\pi }}\left[\exp {\left(-\frac{(kx+b)^2}{2k^2\sigma ^2}\right)} - \exp {\left(-\frac{(kx+b-1)^2}{2k^2\sigma ^2}\right)}\right]\nonumber \\&\quad + \frac{1}{2}\left[1 + \mathrm{Erf} \left(\frac{kx+b-1}{\sqrt{2}k\sigma }\right)\right], \quad \text{ where} \quad x=\mathrm{[Fe/H].} \end{aligned} $$(2)

We give the correct version of this equation in our subsequent paper, Sysoliatina & Just (2022, Eq. (20)).

Finally, the last digit of our project ID was missing. The correct acknowledgement should be “This work was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – Project-ID 138713538 – SFB 881 (‘The Milky Way System’, subproject A06)”.

References

  1. Sysoliatina, K., & Just, A. 2021, A&A, 647, A39 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  2. Sysoliatina, K., & Just, A. 2022, A&A, 666, A130 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]

© The Authors 2022

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