Bose–Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials

Abstract We consider the effects of an uncorrelated random potential on the properties of Bose–Einstein Condensate (BEC) dark matter halos, which acts as a source of disorder, and which is added as a new term in the Gross–Pitaevskii equation, describing the properties of the halo. By using the hydro...

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Main Authors: Tiberiu Harko, Eniko J. Madarassy
Format: Article
Language:English
Published: SpringerOpen 2022-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10344-7
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author Tiberiu Harko
Eniko J. Madarassy
author_facet Tiberiu Harko
Eniko J. Madarassy
author_sort Tiberiu Harko
collection DOAJ
description Abstract We consider the effects of an uncorrelated random potential on the properties of Bose–Einstein Condensate (BEC) dark matter halos, which acts as a source of disorder, and which is added as a new term in the Gross–Pitaevskii equation, describing the properties of the halo. By using the hydrodynamic representation we derive the basic equation describing the density distribution of the galactic dark matter halo, by also taking into account the effects of the baryonic matter, and of the rotation. The density, mass and tangential velocity profiles are obtained exactly in spherical symmetry by considering a simple exponential density profile for the baryonic matter, and a Gaussian type disorder potential. To test the theoretical model we compare its predictions with a set of 39 galaxies from the Spitzer Photometry and Accurate Rotation Curves (SPARC) database. We obtain estimates of the relevant astrophysical parameters of the dark matter dominated galaxies, including the baryonic matter properties, and the parameters of the random potential. The BEC model in the presence of baryonic matter and a random confining potential gives a good statistical description of the SPARC data. The presence of the condensate dark matter could also provide a solution for the core/cusp problem.
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spelling doaj.art-1a112ad9014b4c2b9c52b1591d3b16282022-12-22T00:19:20ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-05-0182512810.1140/epjc/s10052-022-10344-7Bose–Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentialsTiberiu Harko0Eniko J. Madarassy1Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering (IFIN-HH)Department of Physics, Babes-Bolyai UniversityAbstract We consider the effects of an uncorrelated random potential on the properties of Bose–Einstein Condensate (BEC) dark matter halos, which acts as a source of disorder, and which is added as a new term in the Gross–Pitaevskii equation, describing the properties of the halo. By using the hydrodynamic representation we derive the basic equation describing the density distribution of the galactic dark matter halo, by also taking into account the effects of the baryonic matter, and of the rotation. The density, mass and tangential velocity profiles are obtained exactly in spherical symmetry by considering a simple exponential density profile for the baryonic matter, and a Gaussian type disorder potential. To test the theoretical model we compare its predictions with a set of 39 galaxies from the Spitzer Photometry and Accurate Rotation Curves (SPARC) database. We obtain estimates of the relevant astrophysical parameters of the dark matter dominated galaxies, including the baryonic matter properties, and the parameters of the random potential. The BEC model in the presence of baryonic matter and a random confining potential gives a good statistical description of the SPARC data. The presence of the condensate dark matter could also provide a solution for the core/cusp problem.https://doi.org/10.1140/epjc/s10052-022-10344-7
spellingShingle Tiberiu Harko
Eniko J. Madarassy
Bose–Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials
European Physical Journal C: Particles and Fields
title Bose–Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials
title_full Bose–Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials
title_fullStr Bose–Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials
title_full_unstemmed Bose–Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials
title_short Bose–Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials
title_sort bose einstein condensate dark matter models in the presence of baryonic matter and random confining potentials
url https://doi.org/10.1140/epjc/s10052-022-10344-7
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