---
res:
  bibo_abstract:
  - "The early growth of black holes (BHs) in atomic-cooling haloes is likely influenced
    by feedback on the surrounding gas. While the effects of radiative feedback are
    well-documented, mechanical feedback, particularly from active galactic nucleus
    (AGN) jets, has been comparatively less explored. Building on our previous work
    that examined the growth of a 100 M BH in a constant density environment regulated
    by AGN jets, we expand the initial BH mass range from 1 to 104 M and adopt a more
    realistic density profile for atomic-cooling haloes. We reaffirm the validity
    of our analytic models for jet cocoon propagation and feedback regulation. We
    identify several critical radii – namely, the terminal radius of jet cocoon propagation,
    the isotropization radius of the jet cocoon, and the core radius of the atomic-cooling
    halo – that are crucial in determining BH growth given specific gas properties
    and jet feedback parameters. In a significant portion of the parameter space,
    our findings show that jet feedback substantially disrupts the halo’s core during
    the initial feedback episode, preventing BH growth beyond 104 M.\r\nConversely,
    conditions characterized by low jet velocities and high gas densities enable sustained
    BH growth over extended periods. We provide a prediction for the BH mass growth
    as a function of time and feedback parameters. We found that, to form a supermassive
    BH (> 106 M) within 1 Gyr entirely by accreting gas from an atomic-cooling halo,
    the jet energy feedback\r\nefficiency must be  10−4M˙ BHc2 even if the seed BH
    mass is 104 M.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Kung-Yi
      foaf_name: Su, Kung-Yi
      foaf_surname: Su
  - foaf_Person:
      foaf_givenName: Greg L
      foaf_name: Bryan, Greg L
      foaf_surname: Bryan
  - foaf_Person:
      foaf_givenName: Zoltán
      foaf_name: Haiman, Zoltán
      foaf_surname: Haiman
      foaf_workInfoHomepage: http://www.librecat.org/personId=7c006e8c-cc0d-11ee-8322-cb904ef76f36
    orcid: 0000-0003-3633-5403
  bibo_doi: 10.1093/mnras/staf228
  bibo_issue: '1'
  bibo_volume: 538
  dct_date: 2025^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0035-8711
  - http://id.crossref.org/issn/1365-2966
  dct_language: eng
  dct_publisher: Oxford University Press@
  dct_title: 'Self-regulation of high-redshift black hole accretion via jets: Challenges
    for SMBH formation@'
...