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The link between magnetic field orientations and star formation rates

An Author Correction to this article was published on 18 December 2017

An Erratum to this article was published on 17 July 2017


Understanding star formation rates (SFRs) is a central goal of modern star formation models, which mainly involve gravity, turbulence and, in some cases, magnetic fields (B-fields)1,2. However, a connection between B-fields and SFRs has never been observed. Here, a comparison between the surveys of SFRs3,4 and a study of cloud–field alignment5—which revealed a bimodal (parallel or perpendicular) alignment—shows consistently lower SFRs per solar mass for clouds almost perpendicular to the B-fields. This is evidence of B-fields being a primary regulator of SFRs. The perpendicular alignment possesses a significantly higher magnetic flux than the parallel alignment and thus a stronger support of the gas against self-gravity. This results in overall lower masses of the fragmented components, which are in agreement with lower SFRs.

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Figure 1: Filamentary clouds and B-fields in the Pipe Nebula–Ophiuchus region.
Figure 2: SFR per unit mass versus cloud–field alignment for the Gould Belt clouds.
Figure 3: Illustration of how the magnetic flux of an elongated cloud can vary with the cloud–field alignment.


  1. Padoan, P . et al. in Protostars and Planets VI (eds Beuther, H., Klessen, R., Dullemond, C. & Henning, T. ) 77–100 (Univ. Arizona Press, 2014).

    Google Scholar 

  2. Federrath, C. & Klessen, R. The star formation rate of turbulent magnetized clouds: comparing theory, simulations, and observations. Astrophys. J. 761, 156–187 (2012).

    ADS  Article  Google Scholar 

  3. Heiderman, A., Evans, N. J. II, Allen, L., Huard, T. & Heyer, M. The star formation rate and gas surface density relation in the Milky Way: implications for extragalactic studies. Astrophys. J. 723, 1019–1037 (2010).

    ADS  Article  Google Scholar 

  4. Lada, C., Lombardi, M. & Alves, J. On the star formation rates in molecular clouds. Astrophys. J. 724, 687–693 (2010).

    ADS  Article  Google Scholar 

  5. Li, H.-B., Fang, M., Henning, T. & Kainulainen, J. The link between magnetic fields and filamentary clouds: bimodal cloud orientations in the Gould Belt. Mon. Not. R. Astron. Soc. 436, 3707–3719 (2013).

    ADS  Article  Google Scholar 

  6. Krumholz, M., Dekel, A. & McKee, C. A universal, local star formation law in galactic clouds, nearby galaxies, high-redshift disks, and starbursts. Astrophys. J. 745, 69 (2012).

    ADS  Article  Google Scholar 

  7. Lada, C. Star formation in the galaxy: an observational overview. Prog. Theor. Phys. Supplement. 158, 1–23 (2005).

    ADS  Article  Google Scholar 

  8. Federrath, C. Inefficient star formation through turbulence, magnetic fields and feedback. Mon. Not. R. Astron. Soc. 450, 4035–4042 (2015).

    ADS  Article  Google Scholar 

  9. Heyer, M., Williams, J. & Brunt, C. Turbulent gas flows in the Rosette and G216-2.5 molecular clouds: assessing turbulent fragmentation descriptions of star formation. Astrophys. J. 643, 956–964 (2006).

    ADS  Article  Google Scholar 

  10. Li, H.-b. et al. in Protostars and Planets VI (eds Beuther, H., Klessen, R., Dullemond, C. & Henning, T. ) 101–123 (Univ. Arizona Press, 2014).

    Google Scholar 

  11. Crutcher, R., Wandelt, B., Heiles, C., Falgarone, E. & Troland, T. Magnetic fields in interstellar clouds from Zeeman observations: inference of total field strengths by Bayesian analysis. Astrophys. J. 725, 466–479 (2010).

    ADS  Article  Google Scholar 

  12. Li, H.-b., Dowell, C. D., Goodman, A., Hildebrand, R. & Novak, G. Anchoring magnetic field in turbulent molecular clouds. Astrophys. J. 704, 891–897 (2009).

    ADS  Article  Google Scholar 

  13. Li, H.-b. et al. Self-similar fragmentation regulated by magnetic fields in a region forming massive stars. Nature 520, 518–521 (2015).

    ADS  Article  Google Scholar 

  14. Arzoumanian, D. et al. Characterizing interstellar filaments with Herschel in IC 5146. Astron. Astrophys. 529, L6–L14 (2011).

    ADS  Article  Google Scholar 

  15. Gutermuth, R. et al. A Spitzer survey of young stellar clusters within one kiloparsec of the Sun: cluster core extraction and basic structural analysis. Astrophys. J. 184, 18–83 (2009).

    Article  Google Scholar 

  16. Stutz, A. & Gould, A. Slingshot mechanism in Orion: kinematic evidence for ejection of protostars by fliaments. Astron. Astrophys. 590, A2–A15 (2016).

    ADS  Article  Google Scholar 

  17. Otto, F., Ji, W. & Li, H.-b. Velocity anisotropy in self-gravitating molecular clouds. I. simulation. Astrophys. J. 836, 95–108 (2017).

    ADS  Article  Google Scholar 

  18. Li, P. S., McKee, C. F. & Klein, R. I. Magnetized interstellar molecular clouds—I. Comparison between simulations and Zeeman observations. Mon. Not. R. Astron. Soc. 452, 2500–2527 (2015).

    ADS  Article  Google Scholar 

  19. Mestel, L. & Quart. J. R. Problems of star formation—II. Q. J. Roy. Astron. Soc. 6, 265–298 (1965).

    ADS  Google Scholar 

  20. Strittmatter, P. A. Gravitational collapse in the presence of a magnetic field. Mon. Not. R. Astron. Soc. 132, 359–378 (1966).

    ADS  Article  Google Scholar 

  21. Kauffmann, J., Pillai, T., Shetty, R., Myers, P. & Goodman, A. The mass–size relation from clouds to cores. II. Solar neighborhood clouds. Astrophys. J. 716, 433–445 (2010).

    ADS  Article  Google Scholar 

  22. Crutcher, R., Hakobian, N. & Troland, T. Testing magnetic star formation theory. Astrophys. J. 692, 844–855 (2009).

    ADS  Article  Google Scholar 

  23. Mouschovias, T. & Tassis, K. Testing molecular-cloud fragmentation theories: self-consistent analysis of OH Zeeman observations. Mon. Not. R. Astron. Soc. 400, L15–L19 (2009).

    ADS  Article  Google Scholar 

  24. Bertram, E., Federrath, C., Banerjee, R. & Klessen, R. S. Statistical analysis of the mass-to-flux ratio in turbulent cores: effects of magnetic field reversals and dynamo amplification. Mon. Not. R. Astron. Soc. 420, 3163–3173 (2012).

    ADS  Google Scholar 

  25. Lazarian, A., Esquivel, A. & Crutcher, R. Magnetization of cloud cores and envelopes and other observational consequences of reconnection diffusion. Astrophys. J. 757, 154 (2012).

    ADS  Article  Google Scholar 

  26. Crutcher, R. Magnetic fields in molecular clouds. Annu. Rev. Astron. Astrophys. 50, 29–63 (2012).

    ADS  Article  Google Scholar 

  27. Klein, R. I., Li, P. & McKee, C. F. Multi-physics feedback simulations with realistic initial conditions of the formation of star clusters: from large scale magnetized clouds to turbulent clumps to cores to stars. Astron. Soc. Pac. Conf. Ser. 498, 91–101 (2015).

    Google Scholar 

  28. Alves, F., Franco, G. & Girart, J. M. Optical polarimetry toward the Pipe nebula: revealing the importance of the magnetic field. Astron. Astrophys. 486, L13–L16 (2008).

    ADS  Article  Google Scholar 

  29. Heiles, C. 9286 stars: an agglomeration of stellar polarization catalogs. Astronphys. J. 119, 923–927 (2000).

    ADS  Article  Google Scholar 

  30. Planck Collaboration Planck intermediate results: XXXV. Probing the role of the magnetic field in the formation of structure in molecular clouds. Astron. Astrophys. 586, A138–A165 (2016).

  31. Goodman, A., Bastien, P., Myers, P. & Menard, F. Optical polarization maps of starforming regions in Perseus, Taurus, and Ophiuchus. Astrophys. J. 359, 363–377 (1990).

    ADS  Article  Google Scholar 

  32. Li, H.-b. et al. Results of SPARO 2003: mapping magnetic fields in giant molecular clouds. Astronphys. J. 648, 340–354 (2006).

    ADS  Article  Google Scholar 

  33. Bally, J., Walawender, J., Johnstone, D., Kirk, H. & Goodman, A. in Handbook of Star Forming Regions Vol. I (ed. Reipurth, B.) 308–345 (Astronomical Society of the Pacific Press, 2008).

  34. Arce, H., Goodman, A., Bastien, P., Manset, N. & Sumner, M. The polarizing power of the interstellar medium in Taurus. Astronphys. J. 499, L93–L97 (1998).

    ADS  Article  Google Scholar 

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The research was supported by the Hong Kong Research Grant Council, projects T12/402/13N, ECS24300314 and GRF14600915 and by the Chinese University of Hong Kong Direct Grant for Research, project 4053126 Analyzing Simulation Data of Star Formation. H.-b.L. appreciates the conference Star Formation in Different Environments 2016, where the discussion, especially with C. Matzner and J. D. Soler, inspired the direction we present in this work. Q.G. thanks Y. Wang for the discussion on Planck data analysis.

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H.-b.L. designed and executed the experiment. H.J. and X.F. were in charge of the statistical tests. Q.G. and Y.Z. were responsible for the Planck data analysis.

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Correspondence to Hua-bai Li.

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The authors declare no competing financial interests.

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Li, Hb., Jiang, H., Fan, X. et al. The link between magnetic field orientations and star formation rates. Nat Astron 1, 0158 (2017).

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