J/A+A/701/A144ivo://CDS.VizieR/J/A+A/701/A144doi:10.26093/cds/vizier/bc-nx/lbeeCDSChen S.-J.Buchner J.Liu T.Hagen S.Waddell S.G.H.Nandra K.,Salvato M.Igo Z.Aydar C.Merloni A.Ni Q.Kang J.-L.Cai Z.-Y.,Wang J.-X.Li R.Ramos-Ceja M.E.Sanders J.Georgakakis A.Zhang Y.2026-08-03T06:57:00Z2025-09-12T07:58:17ZCDS support team

CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France

cds-question@unistra.fractive-galactic-nucleix-ray-sourcesspectroscopyActive galactic nuclei (AGN) stand as extreme X-ray emitters where disk-corona interplay shapes their spectral energy distribution. The soft X-ray excess, a unique feature of AGN in the 0.5-2.0keV, encodes critical information on the "warm corona" structure bridging the disk and hot corona. However, the systematic evolution of this feature with fundamental accretion parameters in large AGN samples - particularly those studied through the spectral stacking technique - remains observationally unconstrained. The eROSITA All-Sky Survey (eRASS:5) provides an unprecedented sample to statistically map AGN spectral properties. We present a multiwavelength investigation of how the average AGN X-ray spectra evolve with accretion parameters ({alpha}_ox_, LUV, {lambda}_Edd_, MBH), and we explore the disk-corona connection by further combining stacked UV data. We have developed Xstack, a novel X-ray spectral stacking code that consistently stacks rest-frame pulse invariant (PI) spectra and associated responses using optimized response weighting to preserve spectral shapes. With Xstack, we stacked 17929 AGNs ("spec-z" sample, total exposure ~23Ms) with similar X-ray loudness, {alpha}_ox_, and UV luminosity, LUV, and 4159 AGNs ("BH-mass" sample, ~3Ms) with similar Eddington ratios, {lambda}_Edd_, and black hole masses, MBH. We analyzed the resulting stacked X-ray spectra with a phenomenological model for both samples. We further fit the stacked optical-UV X-ray SED with the physical AGNSED model on a 3x3M_BH_-{lambda}_Edd_ grid. We observed that the soft excess strength rises strongly with increasing {alpha}_ox_ and {lambda}_Edd_ binning (by a factor of five), while the hard X-ray spectral shape remains largely unchanged, consistent with the interpretation that soft excess is primarily driven by the warm corona rather than reflection. The trends are weaker with LUV binning and reversed for MBH binning. The analysis of the optical-UV X-ray SEDs with AGNSED revealed that the warm corona radius (in units of Rg) generally increases with {lambda}_Edd_ and decreases with MBH, or equivalently the disk-to-warm-corona transition consistently occurs near ~1x10^4^K. The hot corona contracts with {lambda}_Edd_, and the radius remains independent of MBH, aligning with disk evaporation predictions. The soft excess is likely warm-corona dominated, with the disk-to-warm-corona transition potentially linked to hydrogen ionization instability at ~1x10^4^K, which is consistent with previous work utilizing eFEDS-HSC stacked data. Our work highlights the power of spectral stacking for revealing the AGN disk-corona connection.2025A&A...701A.144Chttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/701/A144CatalogResearchIsServedByTAP VizieR generic serviceIsServedByConesearch servicerelated-toJ/A+A/682/A34 : SRG/eROSITA all-sky survey catalogs (eRASS1) (Merloni+, 2024)II/335 : Revised catalog of GALEX UV sources (GUVcat_AIS GR6+7)II/294 : SDSS Photometric Catalog, Release 7 (Adelman-McCarthy+ 2009)http://quasar.astro.illinois.edu/paper_data/DR16Q/ : SDSS DR16Q cataloghttps://datalab.noirlab.edu/data/legacy-surveys : DESI Legacy Survey DR10https://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+A/701/A144https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/701/A144http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/701/A144https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/701/A144https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/701/A144http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/701/A144GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapCone search capability for table J/A+A/701/A144/agn1 (Source catalog)https://vizier.cds.unistra.fr/viz-bin/conesearch/J/A+A/701/A144/agn1?https://vizier.iucaa.in/viz-bin/conesearch/J/A+A/701/A144/agn1?http://vizieridia.saao.ac.za/viz-bin/conesearch/J/A+A/701/A144/agn1?GETtext/xml+votable180.050000true134.432361236125.371221227240.0055555555555555565/1024 1048 1055 1063-1064 1070 1103 1113 1117 1137-1139 1142 1149-1150 1154 1162 1179 1184 1197 1201 1216 1220-1221 1223 1230 1232 1234-1235 1237-1238 1243-1244 1255 1258 1286 1289 1291 1293 1299-1302 1308 1315 1318 1321-1322 1408 1555 2048 2082 2090 2176 2184 5501 5591 6397 6461 6481 6483 6488 6490-6491 6495 6499-6500 6510-6511 6515-6518 6520 6522 6526-6527 6548 6550 6552 6555-6557 6562 6575 6577 6580 6582 6586 6593-6594 6596 6599 6605 6607 6610 6613 6615 6617 6621-6623 6627 6630-6631 6635-6636 6641 6644 6646-6648 6653-6655 6741 6747-6748 6772 6799 6806 6814-6815 6821 6825 6831 6836 6842 6844 6851-6852 6856 6866 6890 6902 6917 6931 6934 6937 6956 6961-6962 6978 6981 6991 6998 7001-7002 7005 7010 7013 7019 7021 7024-7025 7027-7028 7035 7069-7070 7074 7085 7093 7095-7096 7100 7102 7108 7112 7116 7119 7123 7128-7129 7137-7138 7141 7146 7148 9191 9196-9197 9201-9202 9209 6/4100 4104 4106-4107 4109 4114 4116-4118 4120-4121 4123 4126-4127 4132-4133 4135 4144-4146 4148-4150 4155-4156 4158 4161-4165 4168-4169 4172 4174 4176 4178-4179 4182 4184 4186 4199 4201-4205 4209 4211 4213-4214 4216-4217 4219 4233-4236 4238 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28045-28049 28057-28058 28062 28065-28067 28070 28072-28074 28081-28083 28088-28089 28093-28095 28104-28105 28116-28118 28120 28122-28124 28126-28127 28131-28133 28135-28136 28146-28148 28153-28156 28158 28161-28162 28164 28167 28170 28173-28176 28180 28182 28185-28186 28188-28190 28192-28193 28195-28196 28201-28202 28212-28214 28216-28218 28220-28222 28224-28225 28227-28229 28234-28236 28238-28241 28245-28247 28249-28251 28254-28257 28260 28262-28263 28265-28267 28269-28272 28274 28284 28287-28288 28290 28292 28294-28295 28302-28305 28307 28309-28310 28317 28319-28321 28323-28324 28326-28328 28331-28332 28334-28336 28338-28339 28344-28345 28347 28349-28351 28359 28361 28363-28366 28368-28370 28376 28393 28395 28397-28399 28405-28407 28412-28414 28418 28420-28421 28424 28426-28427 28429-28430 28436-28437 28440 28442-28444 28446-28447 28454-28455 28457-28460 28462-28463 28468 28470-28472 28475 28485 28487 28489-28490 28496-28498 28504 28506 28521-28525 28527-28528 28544 28547 28558-28560 28562-28563 28568-28569 28571-28573 28575-28578 28580-28582 28588 28591 28596 28602 28610-28612 28616 31395 31402-31403 36703 36718-36719 36721 36723 36725 36727-36730 36732-36733 36759 36763 36774-36775 36800 36802-36803 36814-36816 36818 36833 36835 40959 45043 45046 45049-45054https://cdsarc.cds.unistra.fr/viz-bin/moc/J/A+A/701/A144?format=asciiX-raydefaultJ/A+A/701/A144/agn1Source catalogrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintSkyTileSky tile ID from eRASS1 (SkyTile)obs.fieldintIdSrcSource ID in each sky tile from eRASS1 (IdSrc)meta.idintRAJ2000Right ascension (J2000) from eRASS1 (RAEro)degpos.eq.ra;meta.mainL2keVRest-frame 2keV monochromatic luminosity in erg/s/keV, corrected for Galactic-NH (L2keV)0.1nW/eVphys.luminosity;em.X-raydoublee_L2keV1-sigma uncertainty in L2keV (e_L2keV)0.1nW/eVstat.errordoublee_L2500AA1-sigma uncertainty in L2500AA (e_L2500AA)kW/mstat.errordoubleDEJ2000Declination (J2000) from eRASS1 (DEEro)degpos.eq.dec;meta.mainePosPositional uncertainty from eRASS1 (PosErrEro)arcsecstat.error;posdoubleDetLike0Detection likelihood in 0.2-2.3keV band (DetLike0)stat.likelihooddoubleMLcts1Source net counts in 0.2-2.3keV band (MLcts1)ctphot.count;em.X-raydoubleMLFlux1Source flux in 0.2-2.3keV band (MLFlux1)mW.m**-2phot.flux;em.X-ray.softdoublee_MLFlux1? 1-sigma uncertainty in MLFlux1 (e_MLFlux1)mW.m**-2stat.errordoublenullableMLFluxP4Source flux in 2.0-5.0keV band (MLFluxP4)mW.m**-2phot.flux;em.X-ray.mediumdoublee_MLFluxP41-sigma uncertainty in MLFluxP4 (e_MLFluxP4)mW.m**-2stat.errordoubleRALdegRight ascension (J2000) of the counterpart from LS10 (RALS10)degpos.eq.raDELdegDeclination (J2000) of the counterpart from LS10 (DELS10)degpos.eq.deceLposPositional uncertainty from LS10: sqrt(1/RA_IVAR+1/DEC_IVAR) (PosErrLS10)arcsecstat.error;posdoublePlatePlate ID from SDSS DR16Q (SDSSPlate)meta.id;instr.plateintMJDMJD from SDSS DR16Q (SDSSMJD)time.epochintFiberFiber ID from SDSS DR16Q (SDSSFiberId)meta.idintNUVexpExposure time for GALEX NUV (NUVexp)stime.duration;obs.exposurefloatz? Spectroscopic redshift from compilation (Salvato+, in prep.) (z)src.redshiftdoublenullablee_z? Uncertainty in z (e_z)stat.error;src.redshiftdoublenullablelogEddLog Eddington ratio from Wu&Shen22 (logEdd)phys.luminosity;arith.ratiodoublee_logEddUncertainty in logEdd (e_logEdd)stat.errordoublelogMBHLog BH mass from Wu & Shen (2022ApJS..263...42W), prefering Hbeta otherwise MgII (logMBH)log(solMass)phys.massfloate_logMBHUncertainty in logMBH (e_logMBH)log(solMass)stat.errordoublelogLbolLog bolometric luminosity from Wu & Shen (2022ApJS..263...42W) (logLbol)log(1e-07W)phys.luminositydoublee_logLbolUncertainty in logLbol (e_logLbol)log(1e-07W)stat.errordoubleE(B-V)Galactic extinction E(B-V) reddening from Schlegel et al. (1998ApJ...500..525S) (EBV)phot.color.excessdoubleGalNHTotal Galactic absorption column density (GalNH)cm**-2physdoubleFNUVObserver-frame NUV-band monochromatic flux in erg/cm^2/s/Hz (FNUV)mW.m**-2.Hz**-1phot.flux;em.UVdoublee_FNUV1-sigma uncertainty in FNUV (e_FNUV)mW.m**-2.Hz**-1stat.errordoubleFu? Observer-frame u-band monochromatic flux in erg/cm^2^/s/Hz (Fu)mW.m**-2.Hz**-1phot.flux.densitydoublenullablee_Fu? 1-sigma uncertainty in Fu (e_Fu)mW.m**-2.Hz**-1stat.errordoublenullableFg? Observer-frame g-band monochromatic flux in erg/cm^2^/s/Hz (Fg)mW.m**-2.Hz**-1phot.flux.densitydoublenullablee_Fg? 1-sigma uncertainty in Fg (e_Fg)mW.m**-2.Hz**-1stat.errordoublenullabler_zReferences for redshift (1)meta.ref;pos.framecharL2500AARest-frame 2500 angstrom monochromatic luminosity in erg/s/AA, corrected for Galactic extinction (L2500AA)kW/mphys.luminositydoublea-oxSlope of line connecting 2500 angstrom and 2keV (stronger X-ray means smaller alpha_ox) (a-ox)arith.graddoublee_a-ox1-sigma uncertainty in alpha_ox (e_a-ox) (2)stat.errordoubleIAUNameOfficial IAU name from eRASS1 (IAUName)meta.id;meta.maincharDetUIdDetection ID from eRASS1 (DetUId)meta.idcharSDSSSource name from SDSS DR16Q (SDSSName)meta.idcharJ/A+A/701/A144/ecftableEnergy conversion factor tablee_FP04Lower error of FP02 (16th-50th quantile) (e_FP04)stat.error;stat.minfloatrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordinte_logMBHLower edge of log BH mass binlog(solMass)stat.error;stat.minfloatE_logMBHUpper edge of log BH mass bilog(solMass)stat.error;stat.maxfloate_logEdd[] Lower edge of log Eddington ratio binstat.error;stat.minfloatE_logEdd[] Upper edge of log Eddington ratio binstat.error;stat.maxfloate_zLower edge of redshiftstat.error;stat.minfloatE_zUpper edge of redshiftstat.error;stat.maxfloatCRbandObserved-frame energy range (keV) from which to calculate count rate (CountrateBand)meta.codechargammaPhoton index in "CRband" band (gamma)spect.indexfloate_gammaLower error of gamma (16th-50th quantile) (e_gamma)stat.error;stat.minfloatE_gammaUpper error of gamma (50th-84th quantile) (E_gamma)stat.error;stat.maxfloatlogecfEroLog10 energy conversion factor from flux (erg/cm^2^/s) to count rate (logecfEro) (1)mW.m**-2arith.factorfloate_logecfEroLower error of logecfEro (16th-50th quantile) (e_logecfEro)mW.m**-2stat.error;stat.minfloatE_logecfEroUpper error of logecfEro (50th-84th quantile) (E_logecfEro)mW.m**-2stat.error;stat.maxfloatFP00Rest-frame 0.1-10.0 keV flux to observed-frame "CRband" band flux ratio (FP00)phot.flux;em.X-rayfloate_FP00Lower error of FP00 (16th-50th quantile) (e_FP00)stat.error;stat.minfloatE_FP00Upper error of FP00 (50th-84th quantile) (E_FP00)stat.error;stat.maxfloatFP01Rest-frame 0.2-0.5 keV flux to observed-frame "CRband" band flux ratio (FP01)phot.flux;em.X-rayfloate_FP01Lower error of FP01 (16th-50th quantile) (e_FP01)stat.error;stat.minfloatE_FP01Upper error of FP01 (50th-84th quantile) (E_FP01)stat.error;stat.maxfloatFP02Rest-frame 0.2-2.0 keV flux to observed-frame "CRband" band flux ratio (FP02)phot.flux;em.X-rayfloate_FP02Lower error of FP02 (16th-50th quantile) (e_FP02)stat.error;stat.minfloatE_FP02Upper error of FP02 (50th-84th quantile) (E_FP02)stat.error;stat.maxfloatFP03Rest-frame 0.2-2.3 keV flux to observed-frame "CRband" band flux ratio (FP03)phot.flux;em.X-rayfloate_FP03Lower error of FP02 (16th-50th quantile) (e_FP03)stat.error;stat.minfloatE_FP03Upper error of FP02 (50th-84th quantile) (E_FP03)stat.error;stat.maxfloatFP04Rest-frame 0.2-12.0 keV flux to observed-frame "CRband" band flux ratio (FP04)phot.flux;em.X-rayfloatE_FP04Upper error of FP02 (50th-84th quantile) (E_FP04)stat.error;stat.maxfloatFP05Rest-frame 0.5-1.0 keV flux to observed-frame "CRband" band flux ratio (FP05)phot.flux;em.X-rayfloate_FP05Lower error of FP02 (16th-50th quantile) (e_FP05)stat.error;stat.minfloatE_FP05Upper error of FP02 (50th-84th quantile) (E_FP05)stat.error;stat.maxfloatFP06Rest-frame 0.5-1.2 keV flux to observed-frame "CRband" band flux ratio (FP06)phot.flux;em.X-rayfloate_FP06Lower error of FP02 (16th-50th quantile) (e_FP06)stat.error;stat.minfloatE_FP06Upper error of FP02 (50th-84th quantile) (E_FP06)stat.error;stat.maxfloatFP07Rest-frame 0.5-2.0 keV flux to observed-frame "CRband" band flux ratio (FP07)phot.flux;em.X-rayfloate_FP07Lower error of FP02 (16th-50th quantile) (e_FP07)stat.error;stat.minfloatE_FP07Upper error of FP02 (50th-84th quantile) (E_FP07)stat.error;stat.maxfloatFP08Rest-frame 0.5-4.5 keV flux to observed-frame "CRband" band flux ratio (FP08)phot.flux;em.X-rayfloate_FP08Lower error of FP02 (16th-50th quantile) (e_FP08)stat.error;stat.minfloatE_FP08Upper error of FP02 (50th-84th quantile) (E_FP08)stat.error;stat.maxfloatFP09Rest-frame 0.5-7.0 keV flux to observed-frame "CRband" band flux ratio (FP09)phot.flux;em.X-rayfloate_FP09Lower error of FP02 (16th-50th quantile) (e_FP09)stat.error;stat.minfloatE_FP09Upper error of FP02 (50th-84th quantile) (E_FP09)stat.error;stat.maxfloatFP10Rest-frame 1.0 keV monochromatic flux to observed-frame "CRband" band flux ratio (FP10)phot.flux;em.X-rayfloate_FP10Lower error of FP02 (16th-50th quantile) (e_FP10)stat.error;stat.minfloatE_FP10Upper error of FP02 (50th-84th quantile) (E_FP10)stat.error;stat.maxfloatFP11Rest-frame 1.0 keV monochromatic flux (soft excess removed) to observed-frame "CRband" band flux ratio (FP11)phot.flux;em.X-rayfloatE_FP11Lower error of FP02 (16th-50th quantile) (e_FP11)stat.error;stat.maxfloate_FP11Upper error of FP02 (50th-84th quantile) (E_FP11)stat.error;stat.minfloatFP12Rest-frame 1.0-2.0 keV flux to observed-frame "CRband" band flux ratio (FP12)phot.flux;em.X-rayfloate_FP12Lower error of FP02 (16th-50th quantile) (e_FP12)stat.error;stat.minfloatE_FP12Upper error of FP02 (50th-84th quantile) (E_FP12)stat.error;stat.maxfloatFP13Rest-frame 1.2-2.0 keV flux to observed-frame "CRband" band flux ratio (FP13)phot.flux;em.X-rayfloatE_FP13Lower error of FP02 (16th-50th quantile) (e_FP13)stat.error;stat.maxfloate_FP13Upper error of FP02 (50th-84th quantile) (E_FP13)stat.error;stat.minfloatFP14Rest-frame 2.0-4.5 keV flux to observed-frame "CRband" band flux ratio (FP14)phot.flux;em.X-rayfloate_FP14Lower error of FP02 (16th-50th quantile) (e_FP14)stat.error;stat.minfloatE_FP14Upper error of FP02 (50th-84th quantile) (E_FP14)stat.error;stat.maxfloatFP15Rest-frame 2.0-5.0 keV flux to observed-frame "CRband" band flux ratio (FP15)phot.flux;em.X-rayfloate_FP15Lower error of FP02 (16th-50th quantile) (e_FP15)stat.error;stat.minfloatE_FP15Upper error of FP02 (50th-84th quantile) (E_FP15)stat.error;stat.maxfloatFP16Rest-frame 2.0-7.0 keV flux to observed-frame "CRband" band flux ratio (FP16)phot.flux;em.X-rayfloate_FP16Lower error of FP02 (16th-50th quantile) (e_FP16)stat.error;stat.minfloatE_FP16Upper error of FP02 (50th-84th quantile) (E_FP16)stat.error;stat.maxfloatFP17Rest-frame 2.0-10.0 keV flux to observed-frame "CRband" band flux ratio (FP17)phot.flux;em.X-rayfloate_FP17Lower error of FP02 (16th-50th quantile) (e_FP17)stat.error;stat.minfloatE_FP17Upper error of FP02 (50th-84th quantile) (E_FP17)stat.error;stat.maxfloatFP18Rest-frame 2.0-12.0 keV flux to observed-frame "CRband" band flux ratio (FP18)phot.flux;em.X-rayfloate_FP18Lower error of FP02 (16th-50th quantile) (e_FP18)stat.error;stat.minfloatE_FP18Upper error of FP02 (50th-84th quantile) (E_FP18)stat.error;stat.maxfloatFP19Rest-frame 4.0-10.0 keV flux to observed-frame "CRband" band flux ratio (FP19)phot.flux;em.X-rayfloate_FP19Lower error of FP02 (16th-50th quantile) (e_FP19)stat.error;stat.minfloatE_FP19Upper error of FP02 (50th-84th quantile) (E_FP19)stat.error;stat.maxfloatFP20Rest-frame 4.5-12.0 keV flux to observed-frame "CRband" band flux ratio (FP20)phot.flux;em.X-rayfloate_FP20Lower error of FP02 (16th-50th quantile) (e_FP20)stat.error;stat.minfloatE_FP20Upper error of FP02 (50th-84th quantile) (E_FP20)stat.error;stat.maxfloatFP21Rest-frame 5.0-8.0 keV flux to observed-frame "CRband" band flux ratio (FP21)phot.flux;em.X-rayfloate_FP21Lower error of FP02 (16th-50th quantile) (e_FP21)stat.error;stat.minfloatE_FP21Upper error of FP02 (50th-84th quantile) (E_FP21)stat.error;stat.maxfloatFP22Rest-frame 5.1-6.1 keV flux to observed-frame "CRband" band flux ratio (FP22)phot.flux;em.X-rayfloate_FP22Lower error of FP02 (16th-50th quantile) (e_FP22)stat.error;stat.minfloatE_FP22Upper error of FP02 (50th-84th quantile) (E_FP22)stat.error;stat.maxfloatFP23Rest-frame 6.2-7.1 keV flux to observed-frame "CRband" band flux ratio (FP23)phot.flux;em.X-rayfloate_FP23Lower error of FP02 (16th-50th quantile) (e_FP23)stat.error;stat.minfloatE_FP23Upper error of FP02 (50th-84th quantile) (E_FP23)stat.error;stat.maxfloatFP24Rest-frame 7.2-8.2 keV flux to observed-frame "CRband" band flux ratio (FP24)phot.flux;em.X-rayfloate_FP24Lower error of FP02 (16th-50th quantile) (e_FP24)stat.error;stat.minfloatE_FP24Upper error of FP02 (50th-84th quantile) (E_FP24)stat.error;stat.maxfloatJ/A+A/701/A144/bctableBolometric correction tablerecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintBandWhich band to bolometric? (1)meta.codechare_logMBHLower edge of log BH mass binlog(solMass)stat.error;stat.minfloatE_logMBHUpper edge of log BH mass binlog(solMass)stat.error;stat.maxfloate_logEdd[] Lower edge of log Eddington ratio binstat.error;stat.minfloatE_logEdd[] Upper edge of log Eddington ratio binstat.error;stat.maxfloatbcBolometric correction factor (2)phot.mag.bcdoublee_bcLower error of BC (16-50)stat.error;stat.mindoubleE_bcUpper error of BC (50-84)stat.error;stat.maxdoubleJ/A+A/701/A144/listList of fits filesrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintFileNameName of the fits file in subdirectory fits (1)meta.id;meta.fitscharTitleTitle of the filemeta.title;meta.filechar