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Published April 2024 | Published
Journal Article Open

The Initial Mass Function Based on the Full-sky 20 pc Census of ∼3600 Stars and Brown Dwarfs

Kirkpatrick, J. Davy1 ORCID icon
Marocco, Federico ORCID icon
Gelino, Christopher R. ORCID icon
Raghu, Yadukrishna ORCID icon
Faherty, Jacqueline K. ORCID icon
Bardalez Gagliuffi, Daniella C. ORCID icon
Schurr, Steven D. ORCID icon
Apps, Kevin
Schneider, Adam C. ORCID icon
Meisner, Aaron M. ORCID icon
Kuchner, Marc J. ORCID icon
Caselden, Dan ORCID icon
Smart, R. L. ORCID icon
Casewell, S. L. ORCID icon
Raddi, Roberto ORCID icon
Kesseli, Aurora ORCID icon
Stevnbak Andersen, Nikolaj ORCID icon
Antonini, Edoardo
Beaulieu, Paul
Bickle, Thomas P. ORCID icon
Bilsing, Martin ORCID icon
Chieng, Raymond
Colin, Guillaume ORCID icon
Deen, Sam
Dereveanco, Alexandru
Doll, Katharina ORCID icon
Durantini Luca, Hugo A. ORCID icon
Frazer, Anya
Gantier, Jean Marc ORCID icon
Gramaize, Léopold ORCID icon
Grant, Kristin
Hamlet, Leslie K. ORCID icon
Higashimura 東, Hiro 村 滉 ORCID icon
Hyogo, Michiharu ORCID icon
Jałowiczor, Peter A. ORCID icon
Jonkeren, Alexander ORCID icon
Kabatnik, Martin ORCID icon
Kiwy, Frank ORCID icon
Martin, David W.
Michaels, Marianne N. ORCID icon
Pendrill, William
Pessanha Machado, Celso
Pumphrey, Benjamin ORCID icon
Rothermich, Austin ORCID icon
Russwurm, Rebekah
Sainio, Arttu ORCID icon
Sanchez, John
Sapelkin-Tambling, Fyodor Theo
Schümann, Jörg ORCID icon
Selg-Mann, Karl
Singh, Harshdeep
Stenner, Andres
Sun 孙, Guoyou 国佑 ORCID icon
Tanner, Christopher
Thévenot, Melina ORCID icon
Ventura, Maurizio
Voloshin, Nikita V.
Walla, Jim
Wędracki, Zbigniew
Adorno, Jose I.
Aganze, Christian ORCID icon
Allers, Katelyn N. ORCID icon
Brooks, Hunter ORCID icon
Burgasser, Adam J. ORCID icon
Calamari, Emily ORCID icon
Connor, Thomas ORCID icon
Costa, Edgardo ORCID icon
Eisenhardt, Peter R.
Gagné, Jonathan ORCID icon
Gerasimov, Roman ORCID icon
Gonzales, Eileen C. ORCID icon
Hsu, Chih-Chun ORCID icon
Kiman, Rocio ORCID icon
Li, Guodong ORCID icon
Low, Ryan ORCID icon
Mamajek, Eric ORCID icon
Pantoja, Blake M.
Popinchalk, Mark ORCID icon
Rees, Jon M. ORCID icon
Stern, Daniel2, 1 ORCID icon
Suárez, Genaro ORCID icon
Theissen, Christopher ORCID icon
Tsai, Chao-Wei ORCID icon
Vos, Johanna M. ORCID icon
Zurek, David ORCID icon
  • 1. ROR icon California Institute of Technology
  • 2. ROR icon Jet Propulsion Lab

Abstract

A complete accounting of nearby objects—from the highest-mass white dwarf progenitors down to low-mass brown dwarfs—is now possible, thanks to an almost complete set of trigonometric parallax determinations from Gaia, ground-based surveys, and Spitzer follow-up. We create a census of objects within a Sun-centered sphere of 20 pc radius and check published literature to decompose each binary or higher-order system into its separate components. The result is a volume-limited census of ∼3600 individual star formation products useful in measuring the initial mass function across the stellar (<8M) and substellar (≳5MJup) regimes. Comparing our resulting initial mass function to previous measurements shows good agreement above 0.8M and a divergence at lower masses. Our 20 pc space densities are best fit with a quadripartite power law, 𝜉(𝑀)=𝑑𝑁/𝑑𝑀∝𝑀^(−𝛼), with long-established values of α = 2.3 at high masses (0.55 < M < 8.00M), and α = 1.3 at intermediate masses (0.22 < M < 0.55M), but at lower masses, we find α = 0.25 for 0.05 < M < 0.22M, and α = 0.6 for 0.01 < M < 0.05M. This implies that the rate of production as a function of decreasing mass diminishes in the low-mass star/high-mass brown dwarf regime before increasing again in the low-mass brown dwarf regime. Correcting for completeness, we find a star to brown dwarf number ratio of, currently, 4:1, and an average mass per object of 0.41 M.

Copyright and License

© 2024. The Author(s). Published by the American Astronomical Society. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Acknowledgement

D.K., F.M., and C.G. acknowledge support from grant No. 80NSSC20K0452 awarded for proposal 18-2ADAP18-0175 under the NASA Astrophysics Data Analysis Program. Data presented here are based on observations obtained at the Hale Telescope, Palomar Observatory as part of a continuing collaboration between the California Institute of Technology, NASA/JPL, Yale University, and the National Astronomical Observatories of China. Some of the data presented herein were obtained at the W. M. Keck Observatory, which is operated as a scientific partnership among the California Institute of Technology, the University of California, and the National Aeronautics and Space Administration. The Observatory was made possible by the generous financial support of the W. M. Keck Foundation. The authors wish to recognize and acknowledge the very significant cultural role and reverence that the summit of Maunakea has always had within the indigenous Hawaiian community. We are most fortunate to have the opportunity to conduct observations from this mountain. This research has made use of the Keck Observatory Archive (KOA), which is operated by the W. M. Keck Observatory and the NASA Exoplanet Science Institute (NExScI), under contract with the National Aeronautics and Space Administration. The first author would like to thank Patrick Shopbell at Caltech for resurrecting an Exabyte drive that successfully read raw CTIO data from 1997. Part of this research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration (80NM0018D0004). He would also like to thank Mike Cushing for discussion of evolved star loci in the 20 pc color–magnitude diagrams.

One observation reported in this paper was obtained with the Southern African Large Telescope (SALT) under program 2021-2-SCI-027 (PI: Faherty). R.R. acknowledges support from grant RYC2021-030837-I funded by MCIN/AEI/ 10.13039/501100011033 and by "European Union NextGenerationEU/PRTR," and partial support by the AGAUR/Generalitat de Catalunya grant SGR-386/2021 and by the Spanish MINECO grant PID2020-117252GB-I00. E.G. acknowledges support from the Heising-Simons Foundation through a 51 Pegasi b Fellowship. This publication makes use of VOSA, developed under the Spanish Virtual Observatory (https://svo.cab.inta-csic.es) project funded by MCIN/AEI/10.13039/501100011033/ through grant PID2020-112949GB-I00. This research made use of the Montreal Open Clusters and Associations (MOCA) database, operated at the Montréal Planétarium (J. Gagné et al. 2024, in preparation). Backyard Worlds research was supported by NASA grant 2017-ADAP17-0067 and by the NSF under grants AST- 2007068, AST-2009177, and AST-2009136. J.V. acknowledges support from a Royal Society—Science Foundation Ireland University Research Fellowship (URF\1\221932). The authors would like to thank the Near-Earth Object Surveyor mission for covering the page charges for this paper through contract No. 80MSFC20C0043.

Facilities

WISE, Gaia, Spitzer (IRAC), Hale (WIRC, DBSP, TSpec), Keck:I (MOSFIRE, NIRES), IRTF (SpeX), Gemini:South (FLAMINGOS-2), Blanco (RCSPec, ARCoIRIS), NTT (SOFI), Magellan:Baade (FIRE), Shane (Kast), SALT (RSS), SOAR (OSIRIS), ARC (TSpec)

Software References

WiseView (Caselden et al. 2018), Spextool (Vacca et al. 2003; Cushing et al. 2004), MOPEX/APEX (Makovoz & Khan 2005; Makovoz & Marleau 2005), IRAF (Tody 19861993), kastredux (A. J. Burgasser et al. 2024, in preparation), FIREHOSE/MASE (Bochanski et al. 2009), crowdsource (Schlafly et al. 2018)

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Additional details

Created:
May 23, 2024
Modified:
May 23, 2024