Cited by 140Galaxies: Formation, Evolution, PhenomenaDark Matter and Cosmic PhenomenaCosmology and Gravitation Theories

Reconciling the Diversity and Uniformity of Galactic Rotation Curves with Self-Interacting Dark Matter

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Ren, Tao, Kwa, Anna, Kaplinghat, Manoj, Yu, Hai-Bo·2019·Physical Review X

Abstract

Galactic rotation curves exhibit diverse behavior in the inner regions while obeying an organizing principle; i.e., they can be approximately described by a radial acceleration relation or the modified Newtonian dynamics phenomenology.We analyze the rotation curve data from the SPARC sample and explicitly demonstrate that both the diversity and uniformity are naturally reproduced in a hierarchical structure formation model with the addition of dark matter self-interactions.The required concentrations of the dark matter halos are fully consistent with the concentration-mass relation predicted by the Planck cosmological model.The inferred stellar mass-to-light (3.6 μm) ratios scatter around 0.5 M ⊙ =L ⊙ , as expected from population synthesis models, leading to a tight radial acceleration relation and a baryonic Tully-Fisher relation.The inferred stellar-halo mass relation is consistent with the expectations from abundance matching.These results provide compelling arguments in favor of the idea that the inner halos of galaxies are thermalized due to dark matter self-interactions.

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  • The SIDM cross-section must be velocity-dependent if dwarf rotation curves are to be explained by this mechanism.

    “The discrepancy in the size of the cross-section implied by cluster and dwarf galaxy observations suggests that the SIDM cross-section must necessarily be a velocitydependent interaction if we wish to explain dwarf rotation curves through this mechanism.”

    From Constraint on dark matter self-interaction from combined strong lensing and stellar kinematics in MACS J0138-2155 (2026) · cites this paper as [19]

    Section II (page unavailable) says galaxy-cluster constraints imply the cross-section may have a mild velocity dependence, but it does not say velocity dependence is necessary. The authors fit the SPARC rotation curves using a constant cross-section, so their results do not establish the claimed requirement for explaining dwarf rotation curves. (LLM, conf=0.88)

    Experimental — accuracy not yet measured
  • Constraints on dwarf and LSB mass scales from fitting rotation curves suggest a higher SIDM cross section, around O(1-10) cm^2/g.

    “Constraints on dwarf and LSB mass scales from fitting rotation curves suggest a higher value, around O (1 -10) cm 2 / g [19].”

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Authors
Ren, T., Kwa, A., Kaplinghat, M., & Yu, H.-B.
Affiliations
  • University of California, Riverside (US)
  • University of California, Irvine (US)
Venue
Physical Review X
Published
2019-08-07
Volume
9
Issue
3
ISSN
2160-3308 (ISSN-L)
OpenAlex
W2887189883
Cited by
140
References
5
Citations by year
2026: 12 · 2025: 21 · 2024: 20 · 2023: 21 · 2022: 19 · 2021: 13 · 2020: 21 · 2019: 12
FWCI
8.58
Type
journal article
Language
en
Open access
Locations
  • Physical Review X (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • eScholarship (California Digital Library) (submittedVersion, cc-by)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Science Foundation (PHY-1620638, PHY-1748958)
  • U.S. Department of Energy (DE-SC0008541)
  • Hellman Foundation
  • UCR Academic Senate Regents
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
Keywords
galaxy rotation curves, dark matter self-interaction, radial acceleration relation, MOND, SPARC sample, dark matter halo concentration, concentration-mass relation, stellar mass-to-light ratio, baryonic Tully-Fisher relation, abundance matching, hierarchical structure formation

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