Abstract
In this paper, we further elaborate on the Bose–Einstein condensate (BEC) dark matter model extended in our previous work [Phys. Rev. D 2020, 102, 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.
Highlights
The concept of dark matter (DM) is a widely accepted one, its precise nature still needs elucidating
The μdeformed analog of the Bose-gas model developed in [14], with the so-called μ-calculus as a base, has clearly manifested the following preferable features: (i) the evaluated mass of a DM halo appears more realistic; (ii) the obtained critical temperature of the condensation of μ-Bose gas TC(μ) depends on the deformation parameter μ, μ > 0, and is higher [15] than the usual TC; (iii) the μ-deformation-based description of the rotation curves [16] fits better than the curves inferred within the ordinary Bose–Einstein condensate (BEC) model
Since we suggest taking into account the three-particle interaction in the relatively dense DM of light bosons with masses of the order of 10−22 eV c−2, ranges of the parameters can be found by considering the DM of galactic cores with a central mass density ρ0 = m 0 of the Universe 2021, 7, 359 order of 10−20 kg m−3, in the region of radius r0 smaller than 1 kpc
Summary
The concept of dark matter (DM) is a widely accepted one, its precise nature still needs elucidating. The μdeformed analog of the Bose-gas model developed in [14], with the so-called μ-calculus as a base, has clearly manifested the following preferable features: (i) the evaluated mass of a DM halo appears more realistic; (ii) the obtained critical temperature of the condensation of μ-Bose gas TC(μ) depends on the deformation parameter μ, μ > 0, and is higher [15] than the usual TC; (iii) the μ-deformation-based description of the rotation curves [16] fits better than the curves inferred within the ordinary BEC model It is worth mentioning the recent work [17] which uses the concept of deformed spatial commutation relations for a scalar field in order to develop a class of generalization of the Bose-condensate DM model. We present a discussion of the results
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