具有三相结构的玻色-爱因斯坦凝聚体暗物质模型
Bose-Einstein condensate dark matter model with three-particle interaction and two-phase structure
摘要：
我们探讨了在玻色-爱因斯坦凝聚体暗物质模型或模糊暗物质模型中引入排斥性三粒子相互作用的后果。这种基于适当修正的Gross-Pitaevskii方程的模型旨在描述暗物质粒子在高密度区域的分布，这些区域对应于星系核和/或碰撞星系的重叠。具体来说，我们处理的$ϕ^6$模型的宏观波函数的凝聚，其中的相互作用的局部性是保证了一个大的相关长度假设举行。计算后的主要物理特性，我们发现强有力的证据存在的两个不同的阶段的暗物质，在其核心，分开的不稳定区域之间的两个不同的特殊值的压力作用在模型中。讨论了由两相的存在和相关的一级相变所产生的一些影响。
英文摘要：
We explore the consequences of including the repulsive three-particle interaction in the model of Bose-Einstein condensate dark matter model or fuzzy dark matter. Such a model based on properly modified Gross-Pitaevskii equation is intended to describe the distribution of dark matter particles in the highly dense regions, which correspond to the galaxy core and/or to the overlap of colliding galaxies. Specifically, we deal with the $ϕ^6$-model in terms of the macroscopic wave function of the condensate, where a locality of interaction is guaranteed by a large correlation length assumed to hold. After calculation of main thermodynamical characteristics, we find strong evidence of the existence of two distinct phases of dark matter, within its core, separated by the instability region lying between two differing special values of the pressure acting in the model. Some implications stemming from the existence of two phases and the related first-order phase transition are discussed.
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