Reconciling the Diversity and Uniformity of Galactic Rotation Curves with Self-Interacting Dark Matter
Open accessAbstract
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 measuredConstraints 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].”
From Constraint on dark matter self-interaction from combined strong lensing and stellar kinematics in MACS J0138-2155 (2026) · cites this paper as [19]
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The Structure of Cold Dark Matter Halos
Navarro, J. F., Frenk, C. S., & White, S. D. M. (1996) · The Astrophysical Journal · doi:10.1086/177173 · Cited by 8,544 · see citing works
A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
Milgrom, M. (1983) · The Astrophysical Journal · doi:10.1086/161130 · Cited by 3,316 · see citing works
THE AVERAGE STAR FORMATION HISTORIES OF GALAXIES IN DARK MATTER HALOS FROM <i>z</i> = 0-8
Behroozi, P. S., Wechsler, R. H., & Conroy, C. (2013) · The Astrophysical Journal · doi:10.1088/0004-637x/770/1/57 · Cited by 2,167 · see citing works
SPARC: MASS MODELS FOR 175 DISK GALAXIES WITH SPITZER PHOTOMETRY AND ACCURATE ROTATION CURVES
Lelli, F., McGaugh, S. S., & Schombert, J. M. (2016) · The Astronomical Journal · doi:10.3847/0004-6256/152/6/157 · Cited by 835 · see citing works
Radial Acceleration Relation in Rotationally Supported Galaxies
McGaugh, S. S., Lelli, F., & Schombert, J. M. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.201101 · Cited by 665 · see citing works
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Cited by
Sorted by citations
O’Donnell, J. H., Jeltema, T. E., Roberts, M. G., Nightingale, J., Flowers, A., & Aldas, D. (2026) · Physical Review D · doi:10.1103/hfgd-245k · Cited by 5 · see citing works
- 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
- Publisher
- American Physical Society (APS)
- 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
- gold
- doi.org
- Licence
- 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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