Correction to: Protostellar discs in their natural habitat – the formation of protostars and their accretion discs in the turbulent and magnetized interstellar medium

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ID: 328940
2026
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Abstract
This is a correction to our article ‘Protostellar discs in their natural habitat – the formation of protostars and their accretion discs in the turbulent and magnetized interstellar medium’, published in Mon. Not. R. Astron. Soc. 543, 3321–3344 (2025). We here correct fig. 2 and the corresponding text in section 4.1, concerning the density profiles of the pre-stellar cores used for zoom-in simulations in the article. In section 4.1 we analyzed the radial density profiles of the selected cores at the starting time for the individual zoom-ins. The weighting for the radial averages was done incorrectly, in a way that gave smaller/denser cells too much weight, overestimating the density at large radii. This lead to the incorrect conclusion that deviations from the Bonnor–Ebert profile typically become substantial already at radii |$\lt 10^4$| au, which we now see to only be the case at |$\sim 10^5$| au; this can be ascertained from the new version shown here as Fig. 1. Best-fit values of |$r_0$| now range from |$\approx 135$| au (core 6) to |$\approx 397$| au (core 1). The text of section 4.1 needs to be adjusted thusly: ‘Looking at Fig. 1, we can see that the radial density profiles of the core are in fact nicely fit with such a profile up to at least several thousands of au. Except for core 3, the departure from the |$R^{-2}$| asymptotic behaviour of the Bonnor–Ebert sphere only becomes apparent at more than |$2\times 10^4$| au. This is consistent with the typical size of dense cores (P. J. Benson & P. C. Myers 1989; P. André et al. 2014). Best-fit values of |$r_0$| range from |$\approx 135$| au (core 6) to |$\approx 397$| au (core 1). These values correspond to the pre-stellar core models studied in E. Keto & P. Caselli (2010), who pointed out that the size of the region with a flat density profile (our |$r_0$|⁠) is given by the product of the sound speed and the free-fall time at the central density (see their equation 2). Our range of values are also in line with the physical structure of the prototypical pre-stellar core L1544, where |$r_0 \sim 500$| au (E. Keto & P. Caselli 2010; P. Caselli et al. 2019) – taking into account that our cores have a higher density by a factor of a few and correspondingly smaller radii. P. Caselli et al. (2022) also noted that the 3D structure of the simulation used for comparison with data had density profiles which could be reduced to BE spheres (see their fig. D.1).’ This correction explains the discrepancy with the recent results of C. Granzow Holm et al. (2026). The text of section 4.1 has been amended accordingly, also adjusting the stated best-fit values for the turnover radii (⁠|$r_0$|⁠) of the Bonnor–Ebert spheres. Corrected version of fig. 2 of the original version: The density profiles of the six cores (solid lines) and fitted Bonnor–Ebert spheres (dashed lines). The centres of the cores follow a Bonnor–Ebert distribution as seen in the uncorrected version, but the densities are now seen to follow the |$R^{-2}$|-profile up to significantly larger radii.
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Authors
Journal monthly notices of the royal astronomical society
Year 2026
DOI
10.1093/mnras/stag1638
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