标题： 包围超轻暗物质孤子-晕关系 显示英文标题

标题： Bracketing the soliton-halo relation of ultralight dark matter

摘要： 在超轻暗物质理论中，孤立子形成于星系晕的内部区域。 这些孤立子的观测意义取决于孤立子的质量。 已经提出了关于孤立子质量与晕属性之间关系的各种关系。 我们分析了这些关系的含义，并通过一系列数值模拟对其进行检验。 Schive等人（2014年）的关系等价于$(E/M)_{\rm sol}=(E/M)_{\rm halo}$，其中$E_{\rm sol (halo)}$和$M_{\rm sol (halo)}$是孤立子（晕）的能量和质量。 如果晕近似处于virialized状态，这种关系在参数上类似于Chan等人（2022年）的蒸发/生长阈值，因此给出了孤立子质量的粗略下限。 Mocz等人（2017年）提出了另一种关系，等价于$E_{\rm sol}=E_{\rm halo}$，因此在晕能量可以可靠估计的情况下，它给出了孤立子质量的上限。 我们的模拟为此种图景提供了证据，并且在考虑到有限体积下$E_{\rm halo}$定义的模糊性后，与文献中的结果总体一致。 显示英文摘要

摘要： In theories of ultralight dark matter, solitons form in the inner regions of galactic halos. The observational implications of these depend on the soliton mass. Various relations between the mass of the soliton and properties of the halo have been proposed. We analyze the implications of these relations, and test them with a suite of numerical simulations. The relation of Schive et al. 2014 is equivalent to $(E/M)_{\rm sol}=(E/M)_{\rm halo}$ where $E_{\rm sol (halo)}$ and $M_{\rm sol (halo)}$ are the energy and mass of the soliton (halo). If the halo is approximately virialized, this relation is parametrically similar to the evaporation/growth threshold of Chan et al. 2022, and it thus gives a rough lower bound on the soliton mass. A different relation has been proposed by Mocz et al. 2017, which is equivalent to $E_{\rm sol}=E_{\rm halo}$, so is an upper bound on the soliton mass provided the halo energy can be estimated reliably. Our simulations provide evidence for this picture, and are in broad consistency with the literature, in particular after accounting for ambiguities in the definition of $E_{\rm halo}$ at finite volume.