Phases of the Bose–Einstein Condensate Dark Matter Model with Both Two- and Three-Particle Interactions

In this paper, we further elaborate on the Bose–Einstein condensate (BEC) dark matter model extended in our previous work [<i>Phys. Rev. D</i> <b>2020</b>, <i>102</i>, 083510] by the inclusion of sixth-order (or three-particle) repulsive self-interaction term. Her...

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Main Authors: Alexandre M. Gavrilik, Andriy V. Nazarenko
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/7/10/359
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author Alexandre M. Gavrilik
Andriy V. Nazarenko
author_facet Alexandre M. Gavrilik
Andriy V. Nazarenko
author_sort Alexandre M. Gavrilik
collection DOAJ
description In this paper, we further elaborate on the Bose–Einstein condensate (BEC) dark matter model extended in our previous work [<i>Phys. Rev. D</i> <b>2020</b>, <i>102</i>, 083510] by the inclusion of sixth-order (or three-particle) repulsive self-interaction term. Herein, our goal is to complete the picture through adding to the model the fourth-order repulsive self-interaction. The results of our analysis confirm the following: while in the previous work the two-phase structure and the possibility of first-order phase transition was established, here we demonstrate that with the two self-interactions involved, the nontrivial phase structure of the enriched model remains intact. For this to hold, we study the conditions which the parameters of the model, including the interaction parameters, should satisfy. As a by-product and in order to provide some illustration, we obtain the rotation curves and the (bipartite) entanglement entropy for the case of a particular dwarf galaxy.
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spelling doaj.art-df5ee3e7e19f490791cc0a114b7964092023-11-22T20:13:51ZengMDPI AGUniverse2218-19972021-09-0171035910.3390/universe7100359Phases of the Bose–Einstein Condensate Dark Matter Model with Both Two- and Three-Particle InteractionsAlexandre M. Gavrilik0Andriy V. Nazarenko1Bogolyubov Institute for Theoretical Physics of NAS of Ukraine, 14b, Metrolohichna Street, 03143 Kyiv, UkraineBogolyubov Institute for Theoretical Physics of NAS of Ukraine, 14b, Metrolohichna Street, 03143 Kyiv, UkraineIn this paper, we further elaborate on the Bose–Einstein condensate (BEC) dark matter model extended in our previous work [<i>Phys. Rev. D</i> <b>2020</b>, <i>102</i>, 083510] by the inclusion of sixth-order (or three-particle) repulsive self-interaction term. Herein, our goal is to complete the picture through adding to the model the fourth-order repulsive self-interaction. The results of our analysis confirm the following: while in the previous work the two-phase structure and the possibility of first-order phase transition was established, here we demonstrate that with the two self-interactions involved, the nontrivial phase structure of the enriched model remains intact. For this to hold, we study the conditions which the parameters of the model, including the interaction parameters, should satisfy. As a by-product and in order to provide some illustration, we obtain the rotation curves and the (bipartite) entanglement entropy for the case of a particular dwarf galaxy.https://www.mdpi.com/2218-1997/7/10/359dark matterhaloBose–Einstein condensatetwo- and three-particle self-interactionstwo-phase structurefirst-order phase transition
spellingShingle Alexandre M. Gavrilik
Andriy V. Nazarenko
Phases of the Bose–Einstein Condensate Dark Matter Model with Both Two- and Three-Particle Interactions
Universe
dark matter
halo
Bose–Einstein condensate
two- and three-particle self-interactions
two-phase structure
first-order phase transition
title Phases of the Bose–Einstein Condensate Dark Matter Model with Both Two- and Three-Particle Interactions
title_full Phases of the Bose–Einstein Condensate Dark Matter Model with Both Two- and Three-Particle Interactions
title_fullStr Phases of the Bose–Einstein Condensate Dark Matter Model with Both Two- and Three-Particle Interactions
title_full_unstemmed Phases of the Bose–Einstein Condensate Dark Matter Model with Both Two- and Three-Particle Interactions
title_short Phases of the Bose–Einstein Condensate Dark Matter Model with Both Two- and Three-Particle Interactions
title_sort phases of the bose einstein condensate dark matter model with both two and three particle interactions
topic dark matter
halo
Bose–Einstein condensate
two- and three-particle self-interactions
two-phase structure
first-order phase transition
url https://www.mdpi.com/2218-1997/7/10/359
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