发表机构
Jadavpur University（贾达普大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
利用JWST JADES观测的587个星系数据，我们首次直接推导出无尖点、解析且红移依赖的暗物质密度轮廓，发现中心密度在红移1.5至3.5间变化小于15%，揭示宇宙正午暗物质核心饱和密度的普适性。
AI 中文摘要
我们首次展示了直接由詹姆斯·韦布空间望远镜JADES数据发布3的NIRSpec观测推导出的暗物质密度轮廓，该观测涵盖了宇宙正午纪元$1.5 \leq z \leq 3.5$内的$N = 587$个星系。从每个NIRSpec G235M/G395M光谱中，我们提取H$\alpha$发射线速度弥散$\sigma_{\rm ha}$，将星系按四个红移区间（$\Delta z = 0.5$）堆叠，并在广义相对论框架内重建代表性星系群旋转曲线。通过拟合四参数修正指数模型并推导精确的GTR能量密度，我们将轮廓简化为紧凑的$[2/3]$ Padé近似式，其所有系数均由JWST观测以闭合形式确定。该轮廓无尖点、完全解析且依赖于红移。能量条件、因果性和轨道稳定性均得到满足。最引人注目的是，尽管渐近旋转速度下降了$35\\%$，中心密度$\rho(0)$在$z = 1.5$–$3.5$范围内的变化小于$15\\%$，这揭示了宇宙正午时期暗物质核心饱和密度的普适性，且该密度与重子演化脱耦。
英文摘要
We present the first dark matter density profile derived directly from James Webb Space Telescope JADES Data Release~3 NIRSpec observations of $N = 587$ galaxies spanning the cosmic noon epoch $1.5 \leq z \leq 3.5$. From each NIRSpec G235M/G395M spectrum we extract the H$α$ emission-line velocity dispersion $σ_{\rm ha}$, stack galaxies in four redshift bins of $Δz = 0.5$, and reconstruct representative group rotation curves within the General Theory of Relativity. Fitting the four-parameter modified exponential model and deriving the exact GTR energy density, we reduce the profile to a compact $[2/3]$ Padé approximant with all coefficients determined in closed form from JWST observations. The profile is cusp-free, fully analytic, and redshift-dependent. Energy conditions, causality, and orbital stability are all satisfied. Most strikingly, the central density $ρ(0)$ varies by less than $15\%$ across $z = 1.5$--$3.5$ despite a $35\%$ decline in the asymptotic rotation velocity, revealing a universal dark matter core saturation density at cosmic noon decoupled from baryonic evolution.
