论文标题

使用Feshbach共振,在轴突状暗物质中形成二聚体

Formation of Dimers in Axion-Like Dark Matter Using the Feshbach Resonance

论文作者

Gavrilik, A. M., Nazarenko, A. V.

论文摘要

在自我塑造的玻色 - 烯恒定凝结物(BEC)暗物质(DM)的模型中,有人认为,超轻脂玻色子的轴突样的自我相互作用提供了稀疏和致密相的存在,这是在模型基础上以多项式类似的自我互动来预测的。将BEC DM中的非常短的散射长度与几乎没有DM颗粒的主要参与复合材料相关联,我们尝试使用轴承余弦的势能平滑的$μ$ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $μ$ $μ$,从而使轴突余弦势能形成两个颗粒的二聚体,并以粒子之间的距离替换了与场相关的参数。所获得的结果的一部分涉及具有$ $ $ $ $ $ $ $ $ $的相互作用的潜在两粒子散射,它们使我们能够专注于具有变形参数$μ= 1 $和耦合常数的独特值的特殊选项。在这种情况下具有无限散射长度的电势,我们为基态下的二聚体提供了一个相当简单的解决方案。我们涉及两道通道散射和Feshbach共振,以描述空间中二聚体的形成。指定相互作用的参数,我们揭示了一个长寿命的共振,当一对颗粒在具有近距离能量值的开放式和闭合散射通道之间跳跃时,就会发生。这表明此类二聚体参与形成星系的BEC DM光环有可能。

Within the model of self-gravitating Bose--Einstein condensate (BEC) dark matter (DM) it is argued that the axion-like self-interaction of ultralight bosons provides the existence of rarefied and dense phases, which are predicted earlier on the base of the models with polynomial-like self-interactions. Associating the very short scattering length in BEC DM with the predominant participating composites of few DM particles, we attempt to form a dimer of two particles at a quantum mechanical level, using a smooth $μ$-deformation of the axion cosine-like potential and replacing the field-dependent argument with the distance between particles. Part of the obtained results concerns potential two-particle scattering with $μ$-deformed interaction, and they allow us to focus on a special option with unique values of the deformation parameter $μ=1$ and the coupling constant. In this case of the potential with an infinite scattering length, we get a rather simple solution for the dimer in the ground state. We involve two-channel scattering and Feshbach resonance to describe the formation of a dimer in space. Specifying the parameters of interactions, we reveal a long-lived resonance that occurs when a pair of particles jumps between the open and closed scattering channels with close energy values. This indicates the possibility of participation of such dimers in forming BEC DM halo of galaxies.

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