光弯曲和Shapiro时间延迟对轴对称模糊暗物质的约束
Constraints on axionic fuzzy dark matter from light bending and Shapiro time delay
摘要：
质量为$m_a\in (10^{-21}\rm{eV}-10^{-22}\rm{eV})$且具有轴子衰变常数$f_a\sim 10^{17}\rm{GeV}$的超轻类轴子粒子（ALP）可以作为模糊暗物质（FDM）的候选者。如果像地球和太阳这样的天体沉浸在低质量的轴子FDM势中，并且如果ALP与核子耦合，则轴子场的相干振荡会导致天体外部的长距离轴子头发。轴子介导的Yukawa型第五力的作用范围由地球与太阳之间的距离决定，从而确定了轴子质量的上界为$m_a\lesssim10^{-18}\rm{eV}$ .地球和太阳之间的长程轴子汤川势改变了它们之间的引力势，并对光弯曲和Shapiro时间延迟有贡献。从这些实验的观测不确定性，我们把一个上限的轴子衰变常数为$f_a\lesssim 9.85\times 10^{6}\rm{GeV}$，这是更强的边界得到的夏皮罗时间延迟。这意味着如果ALP是FDM，那么它们不与核子偶联。
英文摘要：
Ultralight axion like particles (ALPs) of mass $m_a\in (10^{-21}\rm{eV}-10^{-22}\rm{eV})$ with axion decay constant $f_a\sim 10^{17}\rm{GeV}$ can be candidates for fuzzy dark matter (FDM). If celestial bodies like Earth and Sun are immersed in a low mass axionic FDM potential and if the ALPs have coupling with nucleons then the coherent oscillation of the axionic field results a long range axion hair outside of the celestial bodies. The range of the axion mediated Yukawa type fifth force is determined by the distance between the Earth and the Sun which fixes the upper bound of the mass of axion as $m_a\lesssim10^{-18}\rm{eV}$. The long range axionic Yukawa potential between the Earth and Sun changes the gravitational potential between them and contribute to the light bending and the Shapiro time delay. From the observational uncertainties of those experiments, we put an upper bound on the axion decay constant as $f_a\lesssim 9.85\times 10^{6}\rm{GeV}$, which is the stronger bound obtained from Shapiro time delay. This implies if ALPs are FDM, then they do not couple to nucleons.
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