Faint Stars in a Faint Galaxy. II. The Low-mass Stellar Initial Mass Function of the Boötes I Ultrafaint Dwarf Spheroidal Galaxy

This paper presents improved constraints on the low-mass stellar initial mass function (IMF) of the Boötes I (Boo I) ultrafaint dwarf galaxy, based on our analysis of recent deep imaging from the Hubble Space Telescope. The identification of candidate stellar members of Boo I in the photometric cata...

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Main Authors: Carrie Filion, Imants Platais, Rosemary F. G. Wyse, Vera Kozhurina-Platais
Format: Article
Language:English
Published: IOP Publishing 2022-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/ac9383
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author Carrie Filion
Imants Platais
Rosemary F. G. Wyse
Vera Kozhurina-Platais
author_facet Carrie Filion
Imants Platais
Rosemary F. G. Wyse
Vera Kozhurina-Platais
author_sort Carrie Filion
collection DOAJ
description This paper presents improved constraints on the low-mass stellar initial mass function (IMF) of the Boötes I (Boo I) ultrafaint dwarf galaxy, based on our analysis of recent deep imaging from the Hubble Space Telescope. The identification of candidate stellar members of Boo I in the photometric catalog produced from these data was achieved using a Bayesian approach, informed by complementary archival imaging data for the Hubble Ultra Deep Field. Additionally, the existence of earlier-epoch data for the fields in Boo I allowed us to derive proper motions for a subset of the sources and thus identify and remove likely Milky Way stars. We were also able to determine the absolute proper motion of Boo I, and our result is in agreement with, but completely independent of, the measurement(s) by Gaia. The best-fitting parameter values of three different forms of the low-mass IMF were then obtained through forward modeling of the color–magnitude data for likely Boo I member stars within an approximate Bayesian computation Markov Chain Monte Carlo algorithm. The best-fitting single power-law IMF slope is $\alpha =-{1.95}_{-0.28}^{+0.32}$ , while the best-fitting broken power-law slopes are ${\alpha }_{1}=-{1.67}_{-0.57}^{+0.48}$ and ${\alpha }_{2}=-{2.57}_{-1.04}^{+0.93}$ . The best-fitting lognormal characteristic mass and width parameters are ${M}_{c}={0.17}_{-0.11}^{+0.05}{{ \mathcal M }}_{\odot }$ and $\sigma ={0.49}_{-0.20}^{+0.13}$ . These broken power-law and lognormal IMF parameters for Boo I are consistent with published results for the stars within the Milky Way, and thus it is plausible that Boötes I and the Milky Way are populated by the same stellar IMF.
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spelling doaj.art-f03d6d5bc27b41779621ac2054f3dce82023-10-09T11:31:36ZengIOP PublishingThe Astrophysical Journal1538-43572022-01-0193913810.3847/1538-4357/ac9383Faint Stars in a Faint Galaxy. II. The Low-mass Stellar Initial Mass Function of the Boötes I Ultrafaint Dwarf Spheroidal GalaxyCarrie Filion0https://orcid.org/0000-0001-5522-5029Imants Platais1Rosemary F. G. Wyse2https://orcid.org/0000-0002-4013-1799Vera Kozhurina-Platais3Department of Physics & Astronomy, The Johns Hopkins University , Baltimore, MD 21218, USA ; cfilion@jhu.eduDepartment of Physics & Astronomy, The Johns Hopkins University , Baltimore, MD 21218, USA ; cfilion@jhu.eduDepartment of Physics & Astronomy, The Johns Hopkins University , Baltimore, MD 21218, USA ; cfilion@jhu.eduSpace Telescope Science Institute , Baltimore, MD 21218, USAThis paper presents improved constraints on the low-mass stellar initial mass function (IMF) of the Boötes I (Boo I) ultrafaint dwarf galaxy, based on our analysis of recent deep imaging from the Hubble Space Telescope. The identification of candidate stellar members of Boo I in the photometric catalog produced from these data was achieved using a Bayesian approach, informed by complementary archival imaging data for the Hubble Ultra Deep Field. Additionally, the existence of earlier-epoch data for the fields in Boo I allowed us to derive proper motions for a subset of the sources and thus identify and remove likely Milky Way stars. We were also able to determine the absolute proper motion of Boo I, and our result is in agreement with, but completely independent of, the measurement(s) by Gaia. The best-fitting parameter values of three different forms of the low-mass IMF were then obtained through forward modeling of the color–magnitude data for likely Boo I member stars within an approximate Bayesian computation Markov Chain Monte Carlo algorithm. The best-fitting single power-law IMF slope is $\alpha =-{1.95}_{-0.28}^{+0.32}$ , while the best-fitting broken power-law slopes are ${\alpha }_{1}=-{1.67}_{-0.57}^{+0.48}$ and ${\alpha }_{2}=-{2.57}_{-1.04}^{+0.93}$ . The best-fitting lognormal characteristic mass and width parameters are ${M}_{c}={0.17}_{-0.11}^{+0.05}{{ \mathcal M }}_{\odot }$ and $\sigma ={0.49}_{-0.20}^{+0.13}$ . These broken power-law and lognormal IMF parameters for Boo I are consistent with published results for the stars within the Milky Way, and thus it is plausible that Boötes I and the Milky Way are populated by the same stellar IMF.https://doi.org/10.3847/1538-4357/ac9383Initial mass functionSpace astrometryLow mass starsProper motionsDwarf spheroidal galaxies
spellingShingle Carrie Filion
Imants Platais
Rosemary F. G. Wyse
Vera Kozhurina-Platais
Faint Stars in a Faint Galaxy. II. The Low-mass Stellar Initial Mass Function of the Boötes I Ultrafaint Dwarf Spheroidal Galaxy
The Astrophysical Journal
Initial mass function
Space astrometry
Low mass stars
Proper motions
Dwarf spheroidal galaxies
title Faint Stars in a Faint Galaxy. II. The Low-mass Stellar Initial Mass Function of the Boötes I Ultrafaint Dwarf Spheroidal Galaxy
title_full Faint Stars in a Faint Galaxy. II. The Low-mass Stellar Initial Mass Function of the Boötes I Ultrafaint Dwarf Spheroidal Galaxy
title_fullStr Faint Stars in a Faint Galaxy. II. The Low-mass Stellar Initial Mass Function of the Boötes I Ultrafaint Dwarf Spheroidal Galaxy
title_full_unstemmed Faint Stars in a Faint Galaxy. II. The Low-mass Stellar Initial Mass Function of the Boötes I Ultrafaint Dwarf Spheroidal Galaxy
title_short Faint Stars in a Faint Galaxy. II. The Low-mass Stellar Initial Mass Function of the Boötes I Ultrafaint Dwarf Spheroidal Galaxy
title_sort faint stars in a faint galaxy ii the low mass stellar initial mass function of the bootes i ultrafaint dwarf spheroidal galaxy
topic Initial mass function
Space astrometry
Low mass stars
Proper motions
Dwarf spheroidal galaxies
url https://doi.org/10.3847/1538-4357/ac9383
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