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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2021-09-01
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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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