Analysis of dark matter profiles in the halos of spiral galaxies

Kurmanov Y. Boshkayev K. Konysbayev T. Muccino M. Urazalina A. Ikhsan G. Saiyp N. Rabigulova G. Karlinova M. Suliyeva G. Taukenova A. Beissen N.
27 October 2023 al-Farabi Kazakh State National University

Physical Sciences and Technology
2023 #10 Issue 3-4 4 - 16 pp.

The dark matter content in the spiral galaxies with low surface brightness U5750, U11454, U11819, and U11648 is analyzed by utilizing well-established density profiles from existing literature. These profiles include the Beta, Brownstein, Burkert, exponential sphere, pseudo-isothermal, and Persic profiles. For simplicity, without accounting for the intricate structural complexities in the aforementioned galaxies, we assume that the dark matter distribution is spherically symmetric. For each density profile, the data points from the rotation curves of the galaxies under consideration are fitted. We infer model-free quantities, such as the central (characteristic) density and scale radius, from the rotation curves employing Markov Chain Monte Carlo analyses. This enables us to estimate the total dark matter mass in the galactic halos. We exploit the Bayesian Information Criterion to determine the best-fit profile. Additionally, we adopt the nonlinear least squares approach of Levenberg-Marquardt for comparison and completeness. Through our statistical analysis, we offer a physical interpretation behind the selection of specific profiles, based on the insights obtained from the analyses.

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National Nanotechnology Laboratory of Open Type, Almaty, Kazakhstan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
International Engineering Technological University, Almaty, Kazakhstan
Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati, Frascati, Italy

National Nanotechnology Laboratory of Open Type
Al-Farabi Kazakh National University
International Engineering Technological University
Istituto Nazionale di Fisica Nucleare

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