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ABSTRACT We use the Spitzer Photometry and Accurate Rotation Curves (SPARC) database to study the relation between the central surface density of stars Σ ⋆ ( 0 ) and dynamical mass Σ dyn ( 0 ) in 135 disk galaxies (S0 to dIrr). We find that Σ dyn ( 0 ) correlates tightly with Σ ⋆ ( 0 ) over 4 dex. This central density relation can be described by a double power law. High surface brightness galaxies are consistent with a 1:1 relation, suggesting that they are self-gravitating and baryon dominated in the inner parts. Low surface brightness (LSB) galaxies systematically deviate from the 1:1 line, indicating that the dark matter contribution progressively increases but remains tightly coupled to the stellar one. The observed scatter is small (∼0.2 dex) and largely driven by observational uncertainties. The residuals show no correlations with other galaxy properties like stellar mass, size, or gas fraction.
Lelli et al. (Tue,) studied this question.
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