The DECam Ecliptic Exploration Project (DEEP) is a deep survey of the trans-Neptunian solar system being carried out on the 4 m Blanco telescope at the Cerro Tololo Inter-American Observatory in Chile using the Dark Energy Camera (DECam). By using a shift-and-stack technique to achieve a mean limiting magnitude of r ∼ 26.2, DEEP achieves an unprecedented combination of survey area and depth, enabling quantitative leaps forward in our understanding of the Kuiper Belt populations. This work reports results from an analysis of 20, 3 deg² DECam fields along the invariable plane. We characterize the efficiency and false-positive rates for our moving-object detection pipeline, and use this information to construct a Bayesian signal probability for each detected source. This procedure allows us to treat all of our Kuiper Belt object (KBO) detections statistically, simultaneously accounting for efficiency and false positives. We detect approximately 2300 candidate sources with KBO-like motion with signal-to-noise ratios > 6.5. We use a subset of these objects to compute the luminosity function of the Kuiper Belt as a whole, as well as the cold classical (CC) population. We also investigate the absolute magnitude (H) distribution of the CCs, and find consistency with both an exponentially tapered power law, which is predicted by streaming instability models of planetesimal formation, and a rolling power law. Finally, we provide an updated mass estimate for the CC Kuiper Belt of MCC(Hr<12)=0.0017−0.0004+0.0010M⊕ , assuming albedo p = 0.15 and density ρ = 1 g cm⁻³.

中文翻译：

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DECam 黄道勘探项目 (DEEP)。五、冷古典柯伊伯带的绝对星等分布

DECam 黄道探索项目 (DEEP) 是一项对跨海王星太阳系的深度调查，正在智利托洛洛山美洲天文台的 4 m Blanco 望远镜上使用暗能量相机 (DECam) 进行。通过使用移位和堆栈技术来实现平均极限幅度r∼ 26.2，DEEP 实现了调查面积和深度的前所未有的结合，使我们对柯伊伯带人口的理解取得了质的飞跃。这项工作报告了沿不变平面的20、3 deg ² DECam 场的分析结果。我们描述了移动物体检测管道的效率和误报率，并使用此信息为每个检测到的源构建贝叶斯信号概率。此过程使我们能够对所有柯伊伯带天体 (KBO) 检测进行统计处理，同时考虑效率和误报。我们检测到大约 2300 个具有类 KBO 运动且信噪比 > 6.5 的候选源。我们使用这些天体的子集来计算整个柯伊伯带以及冷经典 (CC) 总体的光度函数。我们还研究了绝对大小（H）CC 的分布，并发现与指数递减幂律（通过星子形成的流不稳定性模型预测）和滚动幂律的一致性。最后，我们提供了 CC 柯伊伯带的更新质量估计 中号抄送（Hr<12）=0.0017-0.0004+0.0010中号⊕ ，假设反照率p= 0.15 和密度ρ= 1 g cm ^-3。