标题： 自相互作用超轻暗物质中圆轨道的动力摩擦和Fornax球状星团 显示英文标题

标题： Dynamical friction for circular orbits in self-interacting ultralight dark matter and Fornax globular clusters

摘要： 我们研究了超轻暗物质（ULDM）中的排斥自相互作用对ULDM晕中圆轨道的动力摩擦的影响及其对Fornax矮椭球星系的球状星团的含义。利用Gross-Pitaevskii-Poisson方程，我们推导出考虑非相互作用和强自相互作用ULDM的孤子密度剖面的动力摩擦力。我们的结果显示，自相互作用进一步减少了动力摩擦效应，超过了非相互作用ULDM和标准冷暗物质模型。此外，我们推导了低马赫数近似以简化亚音速运动中的分析，在该运动中动力摩擦的切向分量占主导地位。将这些发现应用于Fornax矮椭球星系，我们计算了球状星团的坠落时间尺度，表明强烈的自相互作用可以更有效地解决时间问题。我们限制了ULDM粒子质量和自耦合常数的参数空间，这与其他来自天文学和宇宙学观测的约束一致。 显示英文摘要

摘要： We investigate the impact of repulsive self-interaction in ultralight dark matter (ULDM) on dynamical friction in circular orbits in ULDM halos and its implications for the Fornax dwarf spheroidal (dSph) galaxy's globular clusters. Using the Gross-Pitaevskii-Poisson equations, we derive the dynamical friction force considering soliton density profiles for both non-interacting and strongly self-interacting ULDM. Our results show that self-interactions reduce the dynamical friction effect further than both the non-interacting ULDM and standard cold dark matter models. Furthermore, we derive the low Mach number approximation to simplify the analysis in the subsonic motion, where the tangential component of dynamical friction dominates. Applying these findings to the Fornax dSph, we calculate the infall timescales of globular clusters, demonstrating that strong self-interaction can address the timing problem more effectively. We constrain the parameter space for ULDM particle mass and self-coupling constant, which are consistent with other constraints from astronomical and cosmological observations.