Consequences for the Scalar Field Dark Matter model from The McGaugh Observed-Baryon Acceleration Correlation

TL;DR

This paper analyzes the scalar field dark matter model's ability to match observed galactic acceleration correlations, showing that including baryonic matter and other elements can resolve previous discrepancies and fitting the Milky Way's rotation curve.

Contribution

It demonstrates that the scalar field dark matter model can align with observations when accounting for baryons and other non-dark-matter components, addressing prior limitations.

Findings

Scalar field dark matter can reproduce observed galactic acceleration correlations.

Including baryonic matter alleviates core surface density discrepancies.

A particle mass of approximately 1.41 x 10^{-22} eV/c^2 fits the Milky Way rotation curve.

Abstract

Although the standard cosmological model, the so-called $\Lambda$ Cold Dark Matter ("$\Lambda$CDM"), appears to fit well observations at the cosmological level, it is well known that it possesses several inconsistencies at the galactic scales. In order to address the problems of the $\Lambda$CDM at small scales, alternative models have been proposed, among the most popular ones the proposal of dark matter in the Universe being made of ultra-light bosons is a strong candidate nowadays. At this work, we study through an analytical approach the consequences arising from confronting the SPARC catalogue observed-baryon acceleration correlation with the scalar field dark matter model. We carry out such analysis either considering the features of galactic haloes extracted from structure formation simulations either from considering the existence of other non-dark-matter elements in the whole system (such as baryons or a supermassive black hole). Specifically, we address a recent claim that the model is not capable of reproducing a constant surface density in the core in contrast to what observations suggest for a host of galaxies with different sizes and morphologies. In this direction, we show that this discrepancy can be alleviated once the contributions of no-dark-matter constituents in the whole galactic system are taken into account. Additionally, we find that a mass of $m \simeq 1.41 \times 10^{-22}\ eV/c^2$ is capable of reproducing all our findings and correctly adjusting the rotation curves coming from the Milky Way galaxy.