目录Contents
当前设计:v19 逐 ObsID 模型与质量筛选Current design: the v19 per-ObsID model and the quality mask
v19 Sherpa 模型(每个 ObsID 一次拟合)The v19 Sherpa model (one fit per ObsID)
对每个 ObsID,脚本把源谱(obj.pi,已减 QPB)与一个「天体 + 仪器」复合模型比对。天体部分(乘以天空面积 skyarea,单位 arcmin²)是:
For each ObsID the script compares the source spectrum (obj.pi, QPB-subtracted) with a compound "sky + instrument" model. The sky part (multiplied by the sky area skyarea, in arcmin²) is:
skyarea * ( LocalBubble + O7 + O8 + FeL
+ MWabs * ( CXB_peg + MWhalo + MWhothalo + Srcabs*SrcApec ) )
+ rsp_flat( skyarea * SoftProton )
+ RSP( skyarea * (mos instrumental lines) )
各分量含义与参数状态(依据 background_spectrum_fitting_2T_basedon_obsid_v19.py 第 812–1471 行):
The components and their parameter states (from lines 812–1471 of background_spectrum_fitting_2T_basedon_obsid_v19.py):
| 分量Component | 物理含义Physical meaning | 参数Parameters | 跨谱联动Linked across spectra? |
|---|---|---|---|
LocalBubble | 本地热泡(0.1 keV,太阳邻域)Local Hot Bubble (0.1 keV, solar neighbourhood) | kT=0.1 冻结(0.08–0.12)、丰度 1 冻结、norm 自由kT=0.1 frozen (0.08–0.12), abundance 1 frozen, norm free | 共享(同一观测内联动)shared (linked within the observation) |
MWhalo | 0.175 keV 共温分量 = CGMsum(MW+M31 之和)the 0.175 keV common component = CGMsum (MW+M31 sum) | kT 自由(0.14–0.4)、丰度 0.3 冻结、norm 自由(逐 arcmin²)kT free (0.14–0.4), abundance 0.3 frozen, norm free (per arcmin²) | 共享shared |
MWhothalo | 热晕(0.7 keV)hot halo (0.7 keV) | kT=0.7 冻结、norm 自由(0–1e-5)kT=0.7 frozen, norm free (0–1e-5) | 共享shared |
CXB_peg | 河外 X 射线背景(幂律,pegged 归一)extragalactic X-ray background (power law, pegged norm) | PhoIndex 1.46(1.0–1.8 自由)、eMin/eMax=0.5/2.0 冻结、norm 自由PhoIndex 1.46 (1.0–1.8 free), eMin/eMax=0.5/2.0 frozen, norm free | 共享shared |
MWabs | 银河系 HI 吸收Galactic HI absorption | nH 冻结 = 该指向 HI4PI 值(15 arcmin 孔径,单位 1e22 cm^-2)nH frozen = that pointing's HI4PI value (15-arcmin aperture, in 1e22 cm^-2) | 共享shared |
SoftProton | 软质子(折断幂律,BreakE=3.2 冻结)soft protons (broken power law, BreakE=3.2 frozen) | PhoIndx1/2、norm 自由PhoIndx1/2, norm free | 逐谱自由(不联动)free per spectrum (not linked) |
mos*_InstLine* | MOS 仪器线(Al 1.49、Si 1.75、1.3 keV)MOS instrumental lines (Al 1.49, Si 1.75, 1.3 keV) | norm 自由;1.4–2.0 keV 的 Al/Si 线 norm=0 冻结(该能带整体剔除)norm free; the 1.4–2.0 keV Al/Si lines have norm=0 frozen (that band is excluded entirely) | 逐探测器per detector |
O7 / O8 / FeL | SWCX/线状发射(0.56/0.65/0.9 keV)SWCX/line emission (0.56/0.65/0.9 keV) | norm=0 冻结(v19 中不拟合)norm=0 frozen (not fitted in v19) | 同观测内联动linked within the observation |
SrcApec | 显式 M31 分量explicit M31 component | norm = 0 冻结frozen | — |
来源:background_spectrum_fitting_2T_basedon_obsid_v19.py 第 812–1471 行(本页写作时读取:LocalBubble 833–842、MWhalo 844–853 与 1409–1413、CXB_peg 876–887 与 1429–1435、MWhothalo 855–863 与 1415–1419、SoftProton 1014–1039、仪器线 915–1012、MWabs 890–893 与 1402–1403、模型表达式 1178–1250)。
Source: background_spectrum_fitting_2T_basedon_obsid_v19.py lines 812–1471 (read when this page was written: LocalBubble 833–842, MWhalo 844–853 and 1409–1413, CXB_peg 876–887 and 1429–1435, MWhothalo 855–863 and 1415–1419, SoftProton 1014–1039, instrumental lines 915–1012, MWabs 890–893 and 1402–1403, model expression 1178–1250).
拟合流程与统计Fitting flow and statistic
- 统计量 chi2gehrels(对低计数箱误差做了 Gehrels 修正),优化器 levmar(日志与 E003 的 5 阶段流程一致)。Statistic chi2gehrels (Gehrels-corrected errors for low-count bins), optimiser levmar (the log and E003 agree on the 5-stage sequence).
- 能带:先 notice 0.4–8.0,再剔除 1.4–2.0 keV;分组在 0.4/1.4/2.0/8.0 keV 强制边界,剔除带内分组归零。Band: notice 0.4–8.0 first, then exclude 1.4–2.0 keV; grouping forces boundaries at 0.4/1.4/2.0/8.0 keV and zeroes groups inside the excluded band.
- XSPEC 物理配置:angr 丰度表、vern 截面、APECROOT=apec_v3.0.9。XSPEC physics: angr abundances, vern cross-sections, APECROOT=apec_v3.0.9.
- 误差:保存局部 kT–norm 协方差,δ 法传播到吸收流量;不是 profile-likelihood 区间。Errors: the saved local kT–norm covariance propagates to absorbed fluxes by the delta method; these are not profile-likelihood intervals.
来源:logs_obsid_fitting_v19_.../0800730201.log(Statistic = chi2gehrels,本页写作时读取);cognition-os/experiments/E003「Method」第 2–6 条与「Verification」。
Source: logs_obsid_fitting_v19_.../0800730201.log (Statistic = chi2gehrels, read while writing this page); cognition-os/experiments/E003 "Method" items 2–6 and "Verification".
质量筛选:从 22 到 14The quality mask: from 22 to 14
| 级别Level | 判据(拟合完成后才分类,不按结果挑)Criteria (applied only after fitting; never conditioned on the result) | 数目Count |
|---|---|---|
| 技术通过technical pass | 机器验证器恢复会话、滤带/分组/冻结参数全部正确the machine validator restores the session with correct filters/grouping/frozen parameters | 18/22 |
| 数值有效numerical | 技术通过 + dof>0 + Q≥0.01 + kT/norm 有限且误差为正technical pass + dof>0 + Q≥0.01 + finite kT/norm with positive errors | 15 |
| 主样本(primary)primary | 数值有效 + 探测器组恰为 MOS1+MOS2(10 北/NW + 4 南/SE)numerical + the detector set is exactly MOS1+MOS2 (10 North/NW + 4 South/SE) | 14 |
| 严格(strict)strict | 主样本 + dof≥10primary + dof≥10 | 12 |
明确的失败:0800731301 与 0800732201(dof≤0)、0800732601 与 0800732701(fail-closed,Sherpa succeeded=False);Q 剔除 0800730401/1001/2101;0800730101 只有 MOS2,仅作灵敏度参考。
Explicit failures: 0800731301 and 0800732201 (dof≤0); 0800732601 and 0800732701 (fail-closed, Sherpa succeeded=False); Q-based exclusions 0800730401/1001/2101; 0800730101 is MOS2-only and sensitivity-only.
来源:cognition-os/experiments/E003「Technical results」与「Method」第 8 条;cognition-os/insights/I012「Measurement」。
Source: cognition-os/experiments/E003 "Technical results" and "Method" item 8; cognition-os/insights/I012 "Measurement".
为什么只用 MOS(不用 pn)Why MOS only (no pn)
初步 pn 分支有 22 个源谱,但只有 21 个同分支 QPB 匹配,17/22 的净曝光 < 10 ks。XMM-ESAS 指南指出:pn 的角区(corner)统计有限、有 out-of-time 事件、对软质子耀斑更敏感,此情形下 pn QPB 归一可能有偏(甚至过减)。这是产品就绪度决定,不是说 pn 仪器本身不可用,也不是光学漏光(I016)。
The preliminary pn branch has 22 source spectra but only 21 same-branch QPB matches, and 17/22 cleaned exposures are < 10 ks. XMM-ESAS guidance: pn corner statistics are limited, out-of-time events contaminate, and pn corner data are more sensitive to soft-proton flares, so the pn QPB normalisation can be biased (including oversubtraction) in this regime. This is a product-readiness decision — not a claim that pn is unusable, and not an optical light leak (I016).
来源:cognition-os/insights/I016(22/21/17 三个数与 ESAS「The Corner Problem」引用)。
Source: cognition-os/insights/I016 (the 22/21/17 numbers and the ESAS "The Corner Problem" citation).
计划中的 E013 联合空间似然The planned E013 joint spatial likelihood
MW 与 M31 热发射共享 kT、丰度与吸收,谱形相同——只有空间形状能区分。因此:
MW and M31 thermal emission share kT, abundance and absorption, so they are spectrally identical — only the spatial shape separates them. Therefore:
- 阶段 A1(运行中):对每个场,在 (kT, norm) 网格上冻结 CGMsum 分量、重拟合其余一切,得到 Δstat 曲面。Stage A1 (running): for each field, freeze the CGMsum component on a (kT, norm) grid and re-fit everything else, giving Δstat surfaces.
- 阶段 A2(Claude):联合似然 Σ_fields Δstat_i(kT, norm_i = N_MW(b_i) + A·g(r_i; r_c, β)),对银河系项 N_MW(常数或线性 b)、M31 幅度 A 做 profile;A=0 边界用模拟校准单侧上限。Stage A2 (Claude): the joint likelihood Σ_fields Δstat_i(kT, norm_i = N_MW(b_i) + A·g(r_i; r_c, β)), profiling over the MW term N_MW (constant or linear in b) and the M31 amplitude A; one-sided limits on A calibrated at the A=0 boundary by simulation.
来源:cognition-os/experiments/E013_joint_spatial_profile_likelihood.md(设计全文);.agent/jobs/2026-10-14-e013-joint-profile/BRIEF.md(A1 网格与验收)。
Source: cognition-os/experiments/E013_joint_spatial_profile_likelihood.md (the design); .agent/jobs/2026-10-14-e013-joint-profile/BRIEF.md (the A1 grid and acceptance).
6. 动画:谱的叠加6. Animation: stacking the spectrum
这是一个玩具示意(非真实响应):勾选各分量、拖动 QPB 残差,看总谱如何形成。真实的逐 ObsID 拟合见上文模型表。
This is a toy illustration (not the real response): tick the components and drag the QPB residual to see how the total forms. The real per-ObsID fit uses the model table above.
来源:曲线为教学示意(本页自带 JS,无外部数据);分量集合与剔除带对应 v19 模型(background_spectrum_fitting_2T_basedon_obsid_v19.py)。
Source: the curves are a teaching toy (this page's own JS, no external data); the component set and the excluded band follow the v19 model (background_spectrum_fitting_2T_basedon_obsid_v19.py).