采用的Table 3 row
Adopted Table 3 row
2005–2009、|l|>105°的disk-only fit。
The 2005–2009, |l|>105-degree disk-only fit.
Figure 3 · study file
Masaki Ueda et al.（2022）论文档案
Masaki Ueda et al. (2022) study file
The soft X-ray background with Suzaku. I. Milky Way halo
Ueda et al.用Suzaku软X射线背景spectra拟合约0.22 keV Milky-Way-halo component，并给出可沿任意内部视线积分的指数disk density model。M31十四场位于采用fit row的角域内。
Ueda et al. use Suzaku soft-X-ray-background spectra to fit an approximately 0.22 keV Milky-Way-halo component and publish an exponential disk density model that can be integrated along internal sightlines. All fourteen M31 fields lie within the angular domain of the adopted fit row.
Source snapshot: arXiv:2209.01698v1 · 2026-07-15T10:49:33ZSHA-256 dacbf81e477abc660781654a7781fbe035ba5027b0885556d8af0d3162e350a6
先看三张讲解图
Start with the three talk figures
先建立视觉主线；讲稿中的Figure 1–3与这里的顺序严格一致。
Establish the visual story first; Figure 1–3 cues in the talk track follow this exact order.
Ueda directional model在线性plane中
The Ueda directional model in the linear plane
绿色full-height guide是estimator-matched all-field value；水平bar分别保留footprint与n0 sensitivity，不把二者混成一个uncertainty。
The green full-height guide is the estimator-matched all-field value. Horizontal bars retain footprint and n0-sensitivity meanings separately rather than merging them into one uncertainty.
PDF
Ueda在完整foreground尺度中的位置
Ueda on the full foreground scale
log view显示Ueda是in-domain target-footprint model，同时与H&S13 population、eFEDS scenarios和域外模型保持不同evidence labels。
The log view shows Ueda as an in-domain target-footprint model while preserving distinct evidence labels for the H&S13 population, eFEDS scenarios, and out-of-domain models.
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十四场directional prediction与matched estimator
Fourteen directional predictions and the matched estimator
上图分开显示nominal field predictions、deterministic footprint min–max、n0 marginal sensitivity与matched weighted mean；下图给出实际statistical weights。n0 bars不是joint posterior。
The upper panel separates nominal field predictions, deterministic footprint min–max, marginal n0 sensitivity, and the matched weighted mean. The lower panel shows the actual statistical weights. The n0 bars are not a joint posterior.
PDF5-minute presentation · speaker-ready
一句话结论
One-sentence take-home
Ueda et al.的Table 3 N=36 disk-only row提供一个可从太阳内部位置投影到M31十四场的约0.22 keV Milky-Way density model。加入明确的project augmentations并用逐场HI4PI absorption转换后，estimator-matched all-field值为0.311904；footprint 0.289468–0.320667是空间variation，n0范围0.272690–0.339807只是边际sensitivity。
The Ueda et al. Table 3 N=36 disk-only row provides an approximately 0.22 keV Milky-Way density model that can be projected from the Solar position to fourteen M31 fields. After explicit project augmentations and field-specific HI4PI absorption, the estimator-matched all-field value is 0.311904. The 0.289468–0.320667 footprint is spatial variation, while 0.272690–0.339807 is only marginal n0 sensitivity.
统一单位：除非另行注明，Figure 3面亮度均为absorbed 0.5–2.0 keV，单位10−15 erg cm−2 s−1 arcmin−2。Common unit: unless noted otherwise, Figure 3 surface brightnesses are absorbed 0.5–2.0 keV in 10−15 erg cm−2 s−1 arcmin−2.
先记住这六个数字
Six numbers to remember
转移的MWH component
Transferred MWH component
约0.8 keV额外component不进入Figure 3。
The additional approximately 0.8 keV component is not transferred.
disk normalization
Disk normalization
cm^-3；R0=7.0 kpc、z0=2.7 kpc固定。
cm^-3, with R0=7.0 kpc and z0=2.7 kpc fixed.
all-field MW prediction
All-field MW prediction
与observed total使用相同inverse-variance weights。
Uses the same inverse-variance weights as the observed total.
十四场footprint span
Fourteen-field footprint span
deterministic field variation，不是uncertainty。
Deterministic field variation, not uncertainty.
n0 marginal sensitivity
Marginal n0 sensitivity
只变化n0；不是joint posterior。
Only n0 is varied; this is not a joint posterior.
五分钟逐段讲稿
Five-minute talk track
按时间顺序讲；每段先说粗体标题，再用图或数字支撑，不需要另查论文。
Follow the timing in order. State each heading first, then support it with the figure or number; no paper lookup is required.
为什么Ueda可空间投影
Why Ueda is spatially projectable
与population median不同，Ueda发布了内部observer可积分的exponential disk density law。采用row的角域覆盖M31十四场，所以它能产生field-by-field directional model，但仍需明确本项目增加的geometry与spectral assumptions。
Unlike a population median, Ueda publish an exponential disk density law that can be integrated for an internal observer. The adopted row's angular domain contains all fourteen M31 fields, so it yields a field-by-field directional model, although project-added geometry and spectral assumptions must remain explicit.
sample hierarchy
Sample hierarchy
130场parent sample覆盖75<l<285°、|b|>15°；25场|b|>35°uniform subset是另一selection。Figure 3采用Table 3的2005–2009、|l|>105°、N=36 disk-only row。M31 fields在这个row的角域内，却不在25场uniform subset。
The 130-field parent sample covers 75<l<285 degrees and |b|>15 degrees; the 25-field |b|>35-degree uniform subset is different. Figure 3 adopts the Table 3 2005–2009, |l|>105-degree, N=36 disk-only row. M31 lies inside that row's domain but outside the 25-field uniform subset.
native EM与density model
Native EM and density model
native quantity是absorbed phabs thermal fit推断的EM=∫n_e n_H ds。adopted disk给n_e0=(3.4±0.1)×10^-3 cm^-3、R0=7.0 kpc、z0=2.7 kpc，χ²/dof=36/35。本项目有意不采用统计略好的disk+spherical composite row。
The native quantity is EM=integral n_e n_H ds inferred from an absorbed phabs thermal fit. The adopted disk has n_e0=(3.4±0.1)e-3 cm^-3, R0=7.0 kpc, z0=2.7 kpc, and chi-square/dof=36/35. The project intentionally does not adopt the slightly better disk-plus-spherical row.
十四场transfer
Fourteen-field transfer
本项目补充|z| midplane symmetry、n_e/n_H=1.2、R_sun=8.2 kpc与Solar-position LOS transform，逐场积分后用Lodders APEC(kT=0.22,Z=1)*phabs(HI4PI)转为absorbed 0.5–2.0，再用CGMsum相同weights汇总。
The project adds |z| midplane symmetry, n_e/n_H=1.2, R_sun=8.2 kpc, and a Solar-position LOS transform. Field integrals are converted with Lodders APEC(kT=0.22,Z=1)*phabs(HI4PI) to absorbed 0.5–2.0 keV and combined with the same weights as CGMsum.
结果与width语义
Result and width semantics
all-field为0.311904。0.289468–0.320667只反映十四场geometry+absorption variation；0.272690–0.339807只变化n0的边际误差。两者都不能称为joint model uncertainty，约0.8 keV component也未包含。
The all-field value is 0.311904. The 0.289468–0.320667 span reflects only field geometry plus absorption, while 0.272690–0.339807 varies only the marginal n0 error. Neither is a joint model uncertainty, and the approximately 0.8 keV component is omitted.
从论文到M31 Figure 3
From the paper to M31 Figure 3
adopted row
Adopted row
N=36 disk-only parameters
N=36 disk-only parameters
n_e=n_e0 e^(−R/R0)e^(−|z|/z0)内部LOS
Internal LOS
从太阳位置积分十四场
Integrate fourteen fields from the Solar position
EM=∫n_e n_H dsthermal bridge
Thermal bridge
kT=0.22、Z=1 APEC
kT=0.22, Z=1 APEC
EM → F_0.5–2field absorption
Field absorption
逐场HI4PI phabs
Field-specific HI4PI phabs
F_i(N_H,i)matched estimator
Matched estimator
使用CGMsum inverse-variance weights
Use CGMsum inverse-variance weights
0.311904Detailed audit below
以下是逐项provenance与解释边界
Itemized provenance and interpretation boundaries follow
仪器与数据
Instrument and data
Suzaku XIS archival diffuse-background observations，spectral fitting区分Local Bubble/SWCX、约0.22 keV MWH、约0.8 keV额外component和CXB。Figure 3只转移约0.22 keV MWH disk。
Archival Suzaku XIS diffuse-background observations, with spectral fits separating Local Bubble/SWCX, the approximately 0.22 keV MWH, an additional approximately 0.8 keV component, and CXB. Figure 3 transfers only the approximately 0.22 keV MWH disk.
观测视线与样本域
Sightlines and sample domain
130场parent sample覆盖75<l<285 deg、|b|>15 deg。25场|b|>35 deg high-latitude uniform subset是另一个selection。本文采用Table 3的2005-2009、|l|>105 deg、N=36 row；M31十四场l约119.5-122.3 deg且|b|约19.9-23.2 deg，位于该角域内但不在25场uniform subset。
The 130-field parent sample covers 75<l<285 deg and |b|>15 deg. The 25-field high-latitude uniform subset at |b|>35 deg is a separate selection. We adopt the Table 3 row for 2005-2009, |l|>105 deg, N=36; the fourteen M31 fields at l about 119.5-122.3 deg and |b| about 19.9-23.2 deg are inside that angular domain but not the 25-field uniform subset.
原文测量量
Native measurement
native quantity是通过absorbed phabs thermal spectrum推断的MWH emission measure EM=integral n_e n_H ds，不是直接观测的broadband surface brightness。
The native quantity is MWH emission measure, EM=integral n_e n_H ds, inferred through an absorbed phabs thermal spectrum rather than a directly observed broadband surface brightness.
原文模型
Published model
Table 3 adopted row给n_e0=(3.4+/-0.1)e-3 cm-3，固定R0=7.0 kpc、z0=2.7 kpc；disk law写作n=n0 exp(-R/R0) exp(-z/z0)。该row的chi2/dof=36/35。本项目有意采用这个N=36 disk-only row，而不是同一selection下统计量略优的disk+spherical composite row。
The adopted Table 3 row gives n_e0=(3.4+/-0.1)e-3 cm-3 with fixed R0=7.0 kpc and z0=2.7 kpc; the disk law is printed as n=n0 exp(-R/R0) exp(-z/z0). This row has chi2/dof=36/35. The project intentionally selects this N=36 disk-only row rather than the slightly better-fitting disk-plus-spherical composite row for the same selection.
原文结果
Published results
论文高纬uniform subset给出约kT=0.22 keV、EM约2e-3 cm-6 pc；Figure 3采用的空间normalization来自不同的Table 3 N=36 disk fit，不能把两项selection混写。
The high-latitude uniform subset yields approximately kT=0.22 keV and EM around 2e-3 cm-6 pc. The spatial normalization used in Figure 3 instead comes from the separate Table 3 N=36 disk fit; the two selections must not be conflated.
如何进入M31 Figure 3
Transfer into M31 Figure 3
本项目补充midplane symmetry |z|、n_e/n_H=1.2、R_sun=8.2 kpc和内部observer LOS transform；逐场积分n_e n_H到M31十四场，再用Lodders APEC(kT=0.22,Z=1)*phabs(HI4PI)转换为absorbed 0.5-2.0。按观测total相同weights得到0.311904，footprint 0.289468-0.320667；只变化n0边际误差给0.272690-0.339807。
The project adds midplane symmetry |z|, n_e/n_H=1.2, R_sun=8.2 kpc, and an internal-observer LOS transform; it integrates n_e n_H through each of fourteen M31 fields and converts with Lodders APEC(kT=0.22,Z=1)*phabs(HI4PI) to absorbed 0.5-2.0. Using the same weights as the observed total gives 0.311904 with footprint 0.289468-0.320667; varying only the marginal n0 error gives 0.272690-0.339807.
假设与解释边界
Assumptions and boundaries
|z|、composition ratio、Solar radius和observer transform是本项目augmentations；footprint与n0 sensitivity不是joint posterior。约0.8 keV component未进入Figure 3。
The |z| symmetry, composition ratio, Solar radius, and observer transform are project augmentations. Footprint spread and n0 sensitivity are not a joint posterior. The approximately 0.8 keV component is omitted from Figure 3.
全天 (l, b) 覆盖图
All-sky (l, b) coverage map
淡绿色区域是 parent-sample selection envelope（75<l<285°, |b|>15°），并非连续覆盖；绿色圆点绘出 Ueda+22 Appendix observation log 的130条observation entries的field centers（按发表0.01°坐标有125个不同(l,b)对；重复视线在原位重叠，未jitter）。橙色空心圆是十四个 M31 XMM 视场（l≈119.5-122.3°, |b|≈19.9-23.2°），红色五角星标 M31；中央inset用同一组真实(l,b)坐标放大M31 footprint，未jitter。130条parent observations不等于adopted N=36 fit subset；十四个M31视场位于adopted row的角域内。
Pale-green shading is the parent-sample selection envelope (75<l<285°, |b|>15°), not continuous coverage; green dots plot all 130 observation centers in the Ueda+22 Appendix observation log (125 distinct l,b pairs at the published 0.01-degree precision; repeat sightlines overlap in place without jitter). Orange open circles are the fourteen M31 XMM fields (l≈119.5-122.3°, |b|≈19.9-23.2°), and the red star marks M31; the central inset magnifies the same true l,b coordinates without jitter. The 130 parent observations are not the adopted N=36 fit subset; all fourteen M31 fields lie within the adopted row's angular domain.
PDF · CSV本论文对应的Figure 3数据点
Figure 3 points from this study
Ueda+22 disk projected to M31
0.311904 [0.289468, 0.320667]
fit-domain内的directional conditional model；footprint不是uncertainty。
An in-domain directional conditional model; the footprint is not an uncertainty interval.
Primary-source证据地图
Primary-source evidence map
| Location | Claim | Link |
|---|---|---|
| Abstract and sample selection | Parent and high-latitude sample definitions plus thermal-component results. | primary source |
| Table 3 | Adopted N=36 disk normalization, fixed scale lengths, and fit statistic. | primary source |
| Equation 1 and adjacent text | Published exponential disk law and EM definition. | primary source |
| Appendix observation log | All 130 parent-sample OBSIDs, target names, and published Galactic field-center coordinates. | primary source |