arXiv 2108.022442021-08-04hep-phhep-th

超轻轴子凝聚体和轻子尺度与暗物质的联系

Condensates of ultralight axions and a link of leptonic scales to dark matter

Janning Meinert

备注：: 100 pages, 61 figures, master thesis

摘要：

确定超轻轴子的质量是为了得到在普朗克质量量级的Peccei-Quinn标度下的U（1）$_A$对称破缺标度$ Λ$。它被假定为一个星系的质量与低表面亮度的主要贡献是由一个模糊的暗物质（块）的意义上的轴子物种。为了将自转曲线拟合到银河系自转曲线上，我们使用了Soliton-Navarro-Frenk-White模型，该模型根据泊松-薛定谔系统的解，假设在晕中有一个凝聚核和相关的轴子。此外，三种常用的质量密度分布被认为是：Navarro-Frenk-White，伪等温和Burkert模型。一个轴子质量$m_a$的$0.675\times10^{-23}\,$ eV的提取，再现以前的结果在文献中。这意味着一个有效的杨-米尔斯尺度为$Λ\sim 287\,$ eV，它只是一个因子，比用来描述第一轻子族的SU（2）理论的杨-米尔斯尺度小。SU（2）$_{\rm CMB} $宇宙学模型表明，三个SU（2）杨-米尔斯理论，每一个都是关于轻子二重态（e，$ν_e$），（$μ$，$ν_μ$）和（$τ$，$ν_τ$）的形成，对暗物质的电流密度有同样的贡献。孤立块的参数，如引力玻尔半径或维里质量，仅由普朗克质量和相应的轻子质量决定。如果星系中暗物质的主要成分是e-团块，那么$ τ- $和$ μ$ -团块的混合物就可能解释星系中心大质量致密天体的存在，而$ τ$ -团块则可能与球状星团和晕质量有关。这可能为恒星和超大质量黑洞之间的质量差距提供理论解释。

英文摘要：

The mass of ultralight axions is determined in order to get the explicit U(1)$_A$ symmetry breaking scale $ Λ$ at a Peccei-Quinn scale of the magnitude of the Planck mass. It is assumed that the dominant contribution to the mass of a galaxy with low surface brightness is only determined by one axionic species in the sense of fuzzy dark matter (lumps). For rotation curve fits to galactic rotation curves, therefore the Soliton-Navarro-Frenk-White model is used, which assumes a condensate core plus correlated axions in the halo according to the solution of the Poisson-Schrödinger system. In addition, three commonly used mass density profiles are considered: Navarro-Frenk-White, pseudo-isothermal and the Burkert model. An axion mass $m_a$ of $0.675\times10^{-23}\,$eV is extracted, which reproduces previous results in the literature. This implies an effective Yang-Mills scale of $Λ\sim 287\,$ eV, which is only a factor of $15$ smaller than the Yang-Mills scale of an SU(2) theory that is used to describe the first lepton family. The cosmological model SU(2)$_{\rm CMB} $ suggests that three SU(2) Yang-Mills theories, each for the formation of the lepton doublets (e,$ν_e$), ($μ$,$ν_μ$), and ($τ$,$ν_τ$) are equally responsible for contributing to the current density of dark matter. Parameters of an isolated lump, such as the gravitational Bohr radius or the virial mass, are determined solely by the Planck mass and the corresponding lepton mass. If the dominant constituent of the dark mass contained in a galaxy is represented by e-lumps, a mixture of $ τ- $ and $ μ$-lumps could possibly explain the presence of massive compact objects in galactic centers, and $ τ$-lumps could be related to globular clusters and the halo mass. This might provide a theoretical explanation for the mass gap between stellar and super massive black holes.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文