The mass-loss rates of star clusters with stellar-mass black holes: implications for the globular cluster mass function

Abstract

Stellar-mass black holes (BHs) can be retained in globular clusters (GCs) until the present. Simulations of GC evolution find that the relaxation driven mass-loss rate is elevated if BHs are present, especially near dissolution. We capture this behaviour in a parameterised mass-loss rate, benchmarked by results from $N$-body simulations, and use it to evolve an initial GC mass function (GCMF), similar to that of young massive clusters in the Local Universe, to an age of 12 Gyr. Low-metallicity GCs ([Fe/H]$\lesssim -1.5$) have the highest mass-loss rates, because of their relatively high BH masses, which combined with their more radial orbits and stronger tidal field in the past explains the high turnover mass of the GCMF ($\sim 10^5{\mathrm{M}}_{\odot }$) at large Galactic radii ($\gtrsim 10$kpc). The turnover mass at smaller Galactic radii is similar as the result of the upper mass truncation of the initial GCMF and the lower mass-loss rate because of the higher metallicities. The density profile in the Galaxy of mass lost from massive GCs ($\gtrsim 10^5{\mathrm{M}}_{\odot }$) resembles that of nitrogen-rich stars in the halo, confirming that these stars originated from GCs. We conclude that two-body relaxation is the dominant effect in shaping the GCMF from a universal initial GCMF, because including the effect of BHs reduces the need for additional disruption mechanisms.

18 pages, 16 figures, accepted for MNRAS

References in corpus (29)

• The chemical make-up of the Sun: A 2020 vision
• The ACS Virgo Cluster Survey. XII. The Luminosity Function of Globular Clusters in Early Type Galaxies
• Modeling Dense Star Clusters in the Milky Way and Beyond with the $\text{CMC}$ Cluster Catalog
• From dawn till disk: Milky Way's turbulent youth revealed by the APOGEE+Gaia data
• Black holes and core expansion in massive star clusters
• The life cycle of star cluster in a tidal field
• Lifetimes of tidally limited star clusters with different radii
• The total stellar halo mass of the Milky Way
• The E-MOSAICS project: tracing galaxy formation and assembly with the age-metallicity distribution of globular clusters
• The influence of residual gas expulsion on the evolution of the Galactic globular cluster system and the origin of the Population II halo
• The effect of stellar-mass black holes on the structural evolution of massive star clusters
• Radii of Young Star Clusters in Nearby Galaxies
• A stellar-mass black hole population in the globular cluster NGC 6101?
• Investigating mass segregation process in globular clusters with Blue Straggler Stars: the impact of dark remnants
• A Dynamical Survey of Stellar-Mass Black Holes in 50 Milky Way Globular Clusters
• Coalescing black hole binaries from globular clusters: mass distributions and comparison to gravitational wave data from GWTC-3
• A supra-massive population of stellar-mass black holes in the globular cluster Palomar 5
• Absolute V-band magnitudes and mass-to-light ratios of Galactic globular clusters
• The Progenitors of the Milky Way Stellar Halo: Big Bricks Favoured over Little Bricks
• Chemodynamics of newly identified giants with globular cluster like abundance patterns in the bulge, disk, and halo of the Milky Way
• The contribution of N-rich stars to the Galactic stellar halo using APOGEE red giants
• Great Balls of FIRE II: The evolution and destruction of star clusters across cosmic time in a Milky Way-mass galaxy
• The binary content of multiple populations in NGC 3201
• The survival of star clusters with black hole subsystems
• Neutron star natal kicks and the long-term survival of star clusters
• Modeling the kinematics of globular cluster systems
• Evolution of Disc Thickness in Simulated High-Redshift Galaxies
• On the Chemical and Kinematic Consistency Between N-rich Metal-poor Field Stars and Enriched Populations in Globular Clusters
• Tidal disruption of star clusters in galaxy formation simulations

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• Formation of globular clusters in dwarf galaxies of the Local Group
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• Euclid: Early Release Observations -- Globular clusters in the Fornax galaxy cluster, from dwarf galaxies to the intracluster field
• Gravitational waves from mergers of Population III binary black holes: roles played by two evolution channels
• The boring history of Gaia BH3 from isolated binary evolution
• Catalogue of model star clusters in the Milky Way and M31 galaxies
• The influence of globular cluster evolution on the specific frequency in dwarf galaxies
• Dynamical evolution of Milky Way globular clusters on the cosmological timescale I. Mass loss and interaction with the nuclear star cluster
• A two-phase model of galaxy formation: III. The formation of globular clusters
• Dark Star Clusters or Ultra-Faint Dwarf galaxies? Revisiting UMa3/U1
• Gravitational wave inference of star cluster properties from intermediate-mass black hole mergers
• Massive star clusters detected by JWST as natural birth places to form intermediate-mass black holes