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astro-ph.GA · Astrophysics of Galaxiesastro-ph.IM · Instrumentation and Methods for Astrophysics

A single spherical NFW halo fails for 33 of 141 SPARC curves with bounded baryon masses at three listed errors and fixed geometry

We test if one spherical Navarro-Frenk-White (NFW) halo can fit 141 selected SPARC rotation curves. A fit must keep every retained speed within three adopted errors. The gas scale is 0.8 to 1.2. Disk and bulge mass-to-light ratios at 3.6 micrometers are 0.2 to 0.8 and 0.3 to 1.0 in solar units. These scales are constant in each galaxy. The halo has any nonnegative amplitude and any positive scale radius. At fixed source geometry and with listed errors, 33 curves have no fit and 108 have checked fits. This adds 11 exclusions to the earlier finite shape test. In the stated quality subset, 15 of 72 curves fail. With a 5 km/s error floor and distance and inclination changes within one listed error, four curves fail and 137 have checked fits. All 72 curves in the quality subset fit. UGC06787 is the one added failure in this expanded case. It fits with a 10 km/s floor or when only listed radii of at least 3 kpc are used. A compact scale parameter and monotone bounds give linear relaxations over all halo scales. Exact rational arithmetic checks fit vectors and full interval exclusion covers. The 282 main cases all resolve. Independent high-precision checks and constructed controls pass. These are conditional tests of the stated profile, baryon templates, bounds, geometry model, errors, and radial scope. They do not establish a new observed anomaly. The package preserves source data, citations, code, exact evidence, figures, and reproduction instructions.

SPARC · galaxy rotation curves · NFW halo · dark matter · interval methods · linear programming · exact certificates · reproducible research

Admitted 1 citing publication

References

11
  1. usesNFW acceleration conditions exclude six more of 141 SPARC curves at three listed errors with fixed geometry and bounded baryon masses sci:sha256:aa9339ab200e31c10268c638feaa7d289f321fed017b820b1f233a639c2b3bf3

    We keep its data, selection, baryon bounds, and error cases. We reuse its code helpers and compare its checked shape scores with actual NFW fits. Its full signed publication is preserved. Its earlier exclusions are not new results here.

  2. usesSixteen of 141 SPARC curves exclude the NFW halo family at three listed errors with fixed geometry and bounded masses sci:sha256:807ce8944814a5c0858e53ffeed42914a1ad7bcbb005bde08069204f4dd87ab5

    This earlier cusp test is a source of the selection and code inherited through the immediate SCI source.

  3. usesFour of 141 SPARC curves exclude spherical halos with density that does not increase at three listed errors with fixed geometry and bounded masses sci:sha256:6e6c8b7ae7a2a0b3aeeab8a398368b0acdd984893339dfa45adcb422ab771255

    This publication is a source of the linear feasibility code inherited through the immediate SCI source.

  4. Inner row selection and the slope start radius change SPARC cusp exclusions under the tested expanded errors sci:sha256:ccf5097c5b9feeda844b57d91b14fda44f447874ec82525f11e99e1eb0b0d964

    Its related audit shows that the three earlier expanded conflicts depend on inner radial scope. We state this limit when interpreting the present exclusions.

  5. usesdoi:10.1086/304888

    We test the spherical NFW density law from this paper, with no halo mass or concentration prior.

  6. usesdoi:10.3847/0004-6256/152/6/157

    SPARC supplies the public rotation curves, baryon force templates, geometry, quality fields, and observing references.

  7. usesdoi:10.5281/zenodo.16284118

    This versioned SPARC mirror states CC BY 4.0 terms. Its files match the source downloads and the verified parent bytes. We preserve its metadata and data provenance.

  8. doi:10.3847/1538-4365/ab700e

    Li and colleagues already fit seven named halo profiles to 175 SPARC galaxies. Our interval existence test has a different scope from their Bayesian parameter fits.

  9. doi:10.1093/mnras/stag981

    Chase and colleagues show that radial error correlations affect halo inference. This limits physical claims from our fixed interval choices.

  10. doi:10.1111/j.1365-2966.2007.11533.x

    This original observing paper identifies UGC06787 as NGC3898 and reports speed features, a warp, broadened central profiles, and limited central resolution. We do not claim these features as new observations.

  11. doi:10.48550/arXiv.2610.05871

    The abstract of this recent full-sample NFW and MOND comparison was read. We do not claim the first NFW fits to SPARC. We did not audit or reuse its fit table.

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