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Extracting the Possible Intrinsic Relation between the Radiative Efficiency and Mass of QSOs: A Maximum Likelihood Method and its Application to the SDSS DR7 QSOs
Zhang,Fupeng1,2,3,4; Lu,Youjun5,6
2020-10-01
Source PublicationThe Astrophysical Journal
ISSN0004-637X
Volume902Issue:1
AbstractAbstract Radiative efficiencies of QSOs and their distribution encode rich information on the evolution of both masses and spins of massive black holes (MBHs) across cosmic time. In this paper, we develop a maximum likelihood method to statistically extract the intrinsic relation between radiative efficiency (?) and mass (M?) of QSOs from their distribution on the luminosity–(empirically estimated virial) mass plane. By using mock samples, we find that strong constraint can be put on the ?–M? relation at redshift z???0.4 from uniform QSO samples similar to those in the Sloan Digital Sky Survey (SDSS) and from QSO samples at z?~?0.6 (or ?1.0) if the magnitude limit of the survey can be ~1–2 (or 2–3) magnitude deeper. Applying this method to the SDSS DR7 QSOs with z???0.7, we find (or ) correlation for QSOs with the masses obtained according to the H β (or Mg ii) empirical mass estimator. These contradictory results may be due to the unknown systematic errors in the two mass estimators, preventing an accurate constraint on the ?–M? relation by using current available QSO samples. We find that both the estimates of MBH mass and Eddington ratio distribution functions can be affected by the ?– relation, suggesting that the determination of this relation is important for understanding the accretion and growth history of MBHs. In the future, the intrinsic ?–M? relation is expected to be strongly constrained by using QSO samples obtained from surveys deeper than the SDSS if the host galaxy contamination and systematic errors of the mass estimator(s) can be well modeled or removed.
KeywordQuasars black hole physics Supermassive black holes Accretion Galaxy accretion disks
DOI10.3847/1538-4357/abb46a
Language英语
WOS IDIOP:0004-637X-902-1-abb46a
PublisherThe American Astronomical Society
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Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/62049
Collection中国科学院国家天文台
Corresponding AuthorZhang,Fupeng
Affiliation1.School of Physics and Materials Science, Guangzhou University, 510006 Guangzhou, People's Republic of China; zhangfupeng@gzhu.edu.cn
2.School of Physics and Astronomy, Sun Yat-Sen University, Guangzhou 510275, People's Republic of China
3.Key Laboratory for Astronomical Observation and Technology of Guangzhou, 510006 Guangzhou, People's Republic of China
4.Astronomy Science and Technology Research Laboratory of Department of Education of Guangdong Province, Guangzhou 510006, People's Republic of China
5.CAS Key Laboratory for Computational Astrophysics, National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100101, People's Republic of China; luyj@nao.cas.cn
6.School of Astronomy and Space Sciences, University of Chinese Academy of Sciences, No. 19A Yuquan Road, Beijing 100049, People's Republic of China
Recommended Citation
GB/T 7714
Zhang,Fupeng,Lu,Youjun. Extracting the Possible Intrinsic Relation between the Radiative Efficiency and Mass of QSOs: A Maximum Likelihood Method and its Application to the SDSS DR7 QSOs[J]. The Astrophysical Journal,2020,902(1).
APA Zhang,Fupeng,&Lu,Youjun.(2020).Extracting the Possible Intrinsic Relation between the Radiative Efficiency and Mass of QSOs: A Maximum Likelihood Method and its Application to the SDSS DR7 QSOs.The Astrophysical Journal,902(1).
MLA Zhang,Fupeng,et al."Extracting the Possible Intrinsic Relation between the Radiative Efficiency and Mass of QSOs: A Maximum Likelihood Method and its Application to the SDSS DR7 QSOs".The Astrophysical Journal 902.1(2020).
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