Automatic detection of tidal disruption events and other long duration transients in XMM-Newton data
Natalie A. Webb

TL;DR
This paper proposes an automated pipeline for detecting and alerting transient X-ray events, especially tidal disruption events, in XMM-Newton data to enable timely follow-up observations and scientific insights.
Contribution
It introduces a robust software system for automatic transient detection in XMM-Newton data, facilitating rapid follow-up of TDEs and other long-duration X-ray transients.
Findings
Hundreds of TDEs detected serendipitously by XMM-Newton.
Automated alerts could enable follow-up within weeks.
Potential to discover intermediate-mass black holes.
Abstract
XMM-Newton's large field of view and excellent sensitivity have resulted in hundreds of thousands of serendipitous X-ray detections. Whilst their spectra have been widely exploited, their variable nature has been little studied. Part of this is due to the way XMM-Newton currently operates, where observations generally have a 12 month proprietary period. It is often too late to follow-up a serendipitous transient a year after detection. New robust software could be introduced into the pipeline to automatically identify bright transients that are not the target of the observation. Statistically, hundreds of tidal disruption events (TDEs) have been detected serendipitously by XMM-Newton. With prior consent from the PI of the observation, an automatic alert to a new transient could be set up, allowing it to be followed-up within weeks, ideal for TDEs that are bright for about a year. Over…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
\authormark
Webb
\corres
*Corresponding author
Automatic detection of tidal disruption events and other long duration transients in XMM-Newton data
Natalie A. Webb
\orgdivIRAP, \orgnameUniversité de Toulouse, CNRS, CNES, \orgaddress\stateToulouse, \countryFrance
(28 August 2018; 10 October 2018; 10 November 2018)
Abstract
XMM-Newton’s large field of view and excellent sensitivity have resulted in hundreds of thousands of serendipitous X-ray detections. Whilst their spectra have been widely exploited, their variable nature has been little studied. Part of this is due to the way XMM-Newton currently operates, where observations generally have a 12 month proprietary period. It is often too late to follow-up a serendipitous transient a year after detection. New robust software could be introduced into the pipeline to automatically identify bright transients that are not the target of the observation. Statistically, hundreds of tidal disruption events (TDEs) have been detected serendipitously by XMM-Newton. With prior consent from the PI of the observation, an automatic alert to a new transient could be set up, allowing it to be followed-up within weeks, ideal for TDEs that are bright for about a year. Over the next decade, hundreds more TDEs should be detected. Following-up the brightest in quasi-real time would allow constraints to be made on the black hole mass, spin and accretion regime and identify intermediate-mass black holes that are expected to be hidden in faint, low-mass galaxies. This article discusses the advantages that such changes would have on the follow-up of transients and TDEs.
keywords:
X-rays: general, catalogs, accretion, accretion disks, Galaxy: evolution
††articletype: Article Type
\fundingInfo
CNES
1 Introduction
Two varieties of black hole candidates (BHs) have been widely observed to date: stellar mass (3-100 M⊙) black holes (e.g. Bolton, \APACyear1972) and supermassive (106-10 M⊙) black holes (e.g. Lynden-Bell, \APACyear1969), present in the cores of massive galaxies. It is believed that stellar mass black holes are formed from the collapse of massive stars or the mergers of two neutron stars, but how supermassive black holes (SMBH) are formed and evolve is unclear. They can not form from stellar mass black holes, as even continuously accreting at the Eddington limit, they would never reach masses as high as 109 M⊙ observed in a massive quasar at z7.1 (Mortlock \BOthers., \APACyear2011) or the 8108 M⊙ black hole found at z=7.54 (0.69 Gyr, Bañados \BOthers., \APACyear2018). Different theories propose that smaller, intermediate mass black holes (IMBH, 102-5 M⊙) would either merge and/or accrete to create SMBH (see Volonteri, \APACyear2012; Greene, \APACyear2012; Mezcua, \APACyear2017, for reviews). This may be at or above the Eddington rate, although the physical mechanism for super-Eddington accretion is still to be elucidated. If this is the case, we expect to detect IMBHs, as many of them will avoid such mergers or may even be ejected during merger interactions. Indeed, Madau \BBA Rees (\APACyear2001) suggest that there may be as many as 103-104 such black holes in some galaxies. However, until recently, the observational evidence for IMBHs was very weak, making it difficult to study how they accrete matter and validate the theory on how SMBH form.
IMBH are thought to originate either from the implosion of massive population III stars, the first stars to be formed in the Universe, creating IMBH of 100 M⊙, or from the direct collapse of low metallicity dust clouds, again in the early Universe, creating IMBH of 1000 M⊙ (Miller \BBA Colbert, \APACyear2004). Their presence in the early Universe is thought to have contributed significantly to the ultra-violet background, as the IMBHs would have shone brightly as they accreted matter (Kawaguchi, \APACyear2003), implying that IMBHs may have participated in the cosmological re-ionisation (Madau \BOthers., \APACyear2004). Finding relic IMBHs or measuring the masses of the black holes at the lower end of the massive black holes range will allow us to understand the mass of the black hole seed. For example, Greene (\APACyear2012) and references therein show that if the IMBHs originate from 1000 M⊙ black holes created for example through the collapse of low metallicity dust clouds in the early Universe, by the present day, those that have avoided merging with other IMBHs would be found in low mass galaxies of 109 M⊙ and about half would have had the opportunity to accrete matter and to reach masses of 105 M⊙ today. If the IMBHs form from less massive seeds of 100 M⊙, those that have avoided merger would again be in the low mass galaxies 109 M⊙, but in this case 90% of the massive black holes in their centres would have a mass of 104 M⊙.
It is however difficult to find IMBH, as they are often accreting at a very low level and/or are located at large distances. Traditionally they have been searched for in the centres of low mass galaxies, as the mass of the central black hole has been shown to scale with the galaxy mass (Ferrarese \BBA Merritt, \APACyear2000), or in the centres of stellar clusters (e.g. Hut \BOthers., \APACyear1992). Alternatively, they maybe found in the outskirts of galaxies or clusters as they merge with the central SMBH, or they may be the compact object in the brightest ( erg s*-1*) ultra luminous X-ray sources (ULXs) Mezcua (\APACyear2017).
Hyper Luminous X-ray source 1 (HLX-1) is an example of an extreme ultra luminous X-ray source which has a maximum X-ray luminosity of 1.2 1041 erg s*-1* (Godet \BOthers., \APACyear2009). It was discovered in the XMM-Newton serendipitous source catalogue whilst searching for new Galactic and extra-galactic stellar mass compact objects (Farrell \BOthers., \APACyear2009). The subsequent validation of HLX-1 as an intermediate mass black hole (N. Webb \BOthers., \APACyear2012; Godet \BOthers., \APACyear2014; Yan \BOthers., \APACyear2015; N\BPBIA. Webb \BOthers., \APACyear2017, and references therein) was the first step in identifying the population of IMBH that we expect to detect. We can use what we have learnt from this object to search out and validate other IMBH. One of the major difficulties in detecting IMBH using electromagnetic observations is that they are only bright when they are accreting significant amounts of material, which is difficult to achieve (e.g. Miller \BBA Colbert, \APACyear2004). Indeed, HLX-1 is only periodically bright, when sufficient material is available for accretion, probably through tidal stripping of a companion star at periastron (Lasota \BOthers., \APACyear2011; Godet \BOthers., \APACyear2014). For a system to be in such a configuration is rare, which could explain why similar systems have not been detected in large numbers. Indeed, similar objects have been looked for and although some good candidates have been identified, they are not yet confirmed as bonified IMBH (e.g. Zolotukhin \BOthers., \APACyear2016; Sutton \BOthers., \APACyear2012).
HLX-1 is exceptional in as much as it appears that the companion star has avoided total tidal disruption. A star approaching the black hole slightly closer would be ripped apart (a tidal disruption event, TDE), with approximately half of the matter falling on to the massive black hole Rees (\APACyear1988) and causing the system to become brighter by several decades in luminosity in X-rays and at other wavelengths before decaying back to the original luminosity over years, e.g. Holoien \BOthers. (\APACyear2014); Blagorodnova \BOthers. (\APACyear2017); Cenko \BOthers. (\APACyear2012); Lin \BOthers. (\APACyear2011), and see also the Open TDE database111https://tde.space/. A typical TDE X-ray lightcurve can be seen in Fig. 1, upper panel, with its characteristic exponential decay in luminosity proportional to time*-5/3* (e.g. Evans \BBA Kochanek, \APACyear1989), reflecting the timescale on which the stellar debris eventually returns to pericentre, shown with a solid line.
TDEs are intrinsically interesting as accretion is expected to exceed the Eddington limit at the outset (Evans \BBA Kochanek, \APACyear1989). Studying the emission may provide clues to the physical mechanism behind this phenomenon, helping us to understand the growth of SMBH. Observing TDEs could also help us understand why the majority show soft X-ray spectra (see for example the lower panels in Fig. 1), but a few show hard X-ray emission. This may be due to a jet pointing towards us (e.g. Auchettl \BOthers., \APACyear2017), but other mechanisms are also suggested (Hryniewicz \BBA Walter, \APACyear2016). Further observations may also help us to understand if the viewing angle causes some TDEs to be seen in the optical domain and not in the X-ray e.g. PTF-09ge, whilst others in the X-ray and not the optical, and others still are seen in both (Auchettl \BOthers., \APACyear2017), as suggested by Dai \BOthers. (\APACyear2018). To further complicate things, very recently, a TDE event was observed in the radio domain, but not in optical or X-rays (Mattila \BOthers., \APACyear2018).
However, as the tidal radius of the black hole must be outside of the Schwarzschild radius for us to observe the tidal disruption event, TDEs with main sequence stars are generally only detected for the lower mass black holes ( 108 M⊙ Rees, \APACyear1988). A reasonable proportion of the detected TDEs will be IMBH, as the number density of lower mass galaxies, which have a tendency to house the lower mass black holes, dominates over that of the more massive galaxies (see e.g. Torrey \BOthers., \APACyear2015). Therefore searching for TDEs is a good way to identify new IMBH and detecting them with X-ray observations, it is possible to determine the mass of the black hole by fitting the soft thermal emission with disc models, e.g. Lin, Strader, Carrasco, Page\BCBL \BOthers. (\APACyear2018); Lin \BOthers. (\APACyear2015); Godet \BOthers. (\APACyear2012). If the event is close enough and therefore bright enough to detect an iron line in the spectrum, this would also allow us to put limits on the mass and the spin (e.g. Karas et al. 2014).
2 Tidal disruption events in XMM-Newton data
Many TDEs have been identified through exploring XMM-Newton data, e.g. Lin \BOthers. (\APACyear2011); Saxton \BOthers. (\APACyear2015); Lin, Godet\BCBL \BOthers. (\APACyear2017); Saxton \BOthers. (\APACyear2017); Lin, Strader, Carrasco, Page\BCBL \BOthers. (\APACyear2018) and notably through exploring the XMM-Newton catalogue (Rosen \BOthers., \APACyear2016), produced by the XMM-Newton Survey Science Centre222http://xmmssc.irap.omp.eu/ (SSC) (Watson \BOthers., \APACyear2001). The most recent version of this catalogue is 3XMM-DR8 and was released in May 2018333http://xmmssc.irap.omp.eu/Catalogue/3XMM-DR8/3XMM_DR8.html. It contains 775153 X-ray detections, where objects have been detected as many as 59 times over the 17 years from February 2000 to November 2017. 332 columns of information are provided for each detection, including coordinates, observation date, time and mode, exposure and background information, counts, fluxes and rates in 7 energy bands, maximum likelihoods of detection, quality and variability flags, as well as multi-band images, lightcurves and spectra. The distribution of X-ray detections in 3XMM-DR8 on the sky can be seen in Fig. 2. More recently still, the SSC has released the first stacked catalogue of sources, 3XMM-DR7s444http://xmmssc.irap.omp.eu/Catalogue/3XMM-DR7s/3XMM_DR7stack.html (Traulsen \BOthers., \APACyear2018), where for each source identified from the stacked detections, information regarding each detection is provided, along with a long term lightcurve, allowing easy access to the long term variability of sources.
Several TDEs have been detected in the XMM-Newton slew survey (e.g. Saxton \BOthers., \APACyear2008, \APACyear2012, \APACyear2014). This is thanks to a systematic comparison of slew survey detections as they are found, with the same region of the sky observed by previous missions. The comparison is made with the Rosat All Sky Survey (RASS Voges \BOthers., \APACyear1999, \APACyear2000; Boller \BOthers., \APACyear2016), which has a similar depth and position error to the slew survey (Saxton \BOthers., \APACyear2008), as well as the Einstein slew survey, the Exosat slew survey, the HEAO-1/A2 and RXTE slew surveys, which have shallower flux limits (Saxton \BOthers., \APACyear2008). This approach is very successful as it allows the follow-up of the TDE rapidly whilst the source is still bright and not a year or years later, when the source is examined as a part of the catalogue. TDEs have none the less been detected using the XMM-Newton catalogue e.g. Khabibullin \BBA Sazonov (\APACyear2014); Lin \BOthers. (\APACyear2015); Feng \BOthers. (\APACyear2015); Lin, Guillochon\BCBL \BOthers. (\APACyear2017), even though no systematic comparison has been carried out at the time of the detection. Further, limited information can be extracted from the observations as no follow-up was done within a year of the detection, due to the data proprietary time of 12 months.
The median flux in the XMM-Newton soft band (0.2-2.0 keV) for the latest catalogue release, 3XMM-DR8, is 5.210*-15* erg cm*-2* s*-1*. These pointed observations are much deeper than the typical flux limit of the RASS of 310*-13* erg cm*-2* s*-1* (0.2-2.4 keV) (Voges \BOthers., \APACyear2000). Only 21136 sources in 3XMM-DR8 (3%) have 0.2-2.0 keV fluxes greater than the RASS flux limit, thus limiting the number of new TDE identifications by comparing the XMM-Newton flux to similar regions of the sky observed with Rosat, as for the XMM-Newton slew survey. However 100000 3XMM-DR8 sources have been observed at least twice (and up to 59 times) and further sources have been observed with Chandra, which reaches similar flux limits to XMM-Newton, over a baseline of 18 years. This is the equivalent of 1300 fields, based on the number of detections in 3XMM-DR8 and the number of fields observed. Assuming that the observations were in full frame mode (where 79% of MOS 2 observations are in full frame mode), means that 260∘ squared have been surveyed at least twice with XMM-Newton, and more if we consider fields observed with XMM-Newton and Chandra.
In an average length XMM-Newton observation of 37 ks (average value from 3XMM-DR8) we can detect a TDE out to z1.5 (for a luminosity of 1043 erg s*-1*, typical of TDEs at the Eddington luminosity for a black hole of 105 M⊙) and supposing that the absorption towards the galaxy is not excessively high. In the XMM-Newton 30’ diameter field of view, there are about 105 galaxies out to z1.5, based on the Hubble Deep Field observations and the number of galaxies per square degree per redshift, e.g. Sanders (\APACyear2005). However, given that the TDE rate is 1.7\pm$${}^{\scriptscriptstyle+2.85}_{\scriptscriptstyle-1.27} 10*-4* gal*-1* yr*-1* (90% confidence, Hung \BOthers., \APACyear2017), in an average length XMM-Newton observation, there is then a probability of 0.05 that a detectable TDE is occurring in a field. As TDEs remain bright for about a year, this increases the number. Taking into account 71% of 3XMM-DR8 observations are above and below the Galactic plane (15∘, see also Fig. 2), where most TDEs will be observed, around 700 TDEs should exist in current XMM-Newton data. However, to identify them we require another ’deep’ X-ray observation for comparison. Statistically, this will available for the 1300 fields, as described above, so around 100 TDEs should be detectable using XMM-Newton data only. Using Chandra data and other X-ray observations will increase the number that can be identified. An observation has on average 76 X-ray detections (calculated from the number of observations and detections in 3XMM-DR8) and TDEs are variable and often show low energy thermal emission in X-rays, so it is much easier to identify the TDE in X-rays than in the optical.
Technically, it is possible for XMM-Newton to continue observing for another 10 years or so (until 2029/2030). At least 50 new TDEs should be detectable in this time using only XMM-Newton as a baseline. However, as of 2019, eROSITA (Predehl \BOthers., \APACyear2011) will fly and the all sky survey will have a flux limit of 110*-14* erg cm*-2* s*-1* (0.5-2.0 keV Predehl, \APACyear2014), close to the median XMM-Newton observations, and thus providing a point of comparison for most XMM-Newton pointings and allowing around 200 new TDEs to be identified. If these new TDEs can be followed up rapidly, this would help us identify new IMBH, see Sec. 1.
3 Discussion
So how would we go about following up TDEs (and other transients) rapidly? Firstly, during the pipeline processing of the XMM-Newton data, the flux of each source should be automatically compared to previous X-rays observations of the same region of sky. Sources showing extreme flux variations compared to previous pointings, would be noted. The coincidence with the centre of a known galaxy would point to a TDE, although changing look AGN can also show significant variability, but this is invariably a factor of a few (e.g. Ricci \BOthers., \APACyear2016; Zetzl \BOthers., \APACyear2018; Hernández-García \BOthers., \APACyear2015) and not the factor of hundreds or thousands that is often associated with TDEs, e.g. Lin, Strader, Carrasco, Godet\BCBL \BOthers. (\APACyear2018); Saxton \BOthers. (\APACyear2012); Auchettl \BOthers. (\APACyear2017). Some ULXs exhibiting luminosity variability of a factor 1000 are also found towards the centres of galaxies Walton \BOthers. (\APACyear2015), but it has been shown that the central compact object is a neutron star and the maximum X-ray luminosity does not generally exceed erg s*-1* (e.g. Bachetti \BOthers., \APACyear2014; Israel \BOthers., \APACyear2017; Fürst \BOthers., \APACyear2016), so these should be fairly easy to distinguish from TDEs.
With prior consent from the PI of the observation, similar to when PIs gave prior consent to the SSC to follow-up serendipitously detected X-ray sources that were not the target of the observation (at the beginning of the mission), an automatically generated message could alert the PI, or even the community at large, to the new transient, allowing it to be followed-up within weeks, ideal for TDEs that are usually bright for about a year.
Obviously other highly significant transient events could be identified in a similar way, such as the electromagnetic counterparts to gravitational wave events, -ray burst (afterglows), cataclysmic variable outbursts, supernovae, X-ray binary outbursts, magnetar bursts, etc. Whilst the follow-up of a magnetar would not be feasible given their short outburst duration, this method would allow them to be identified automatically. The transient nature of the other objects is usually weeks to years, allowing them to be followed. This would add a new dimension to the use of XMM-Newton, which can detect much fainter objects than for instance MAXI which reaches 710*-10* erg cm*-2* s*-1* (2-30 keV) per orbit (Matsuoka \BOthers., \APACyear2009) or the Neil Gehrels Swift Observatory (Swift) which reaches 110*-13* erg cm*-2* s*-1* for blind searches in a 10 ks observation (0.2-10 keV)555https://swift.gsfc.nasa.gov/about_swift/xrt_desc.html, for example.
Other software could also be developed to robustly detect very short duration outbursts that may not be identified using the current variability tests enabled in the pipeline, or which may have too few counts to be detected as a source in a long observation, because of the background contribution. Examples of such objects are distant short gamma-ray bursts (2 s) which would have much of their redshifted emission in the X-ray domain, the electromagnetic counterparts of gravitational wave events, type-I X-ray bursts from neutron stars in other galaxies, or possibly X-ray counterparts to fast radio bursts. Again the PI could be alerted of these events in their data. Having this information shortly after the observation may also allow the follow-up of gamma-ray burst afterglows, identify if a gravitational wave event was observed serendipitously in the XMM-Newton field of view or give clues to the nature of the as yet unknown nature of the fast radio bursts (e.g. Hessels, \APACyear2018).
4 Concluding remarks
Identifying more TDEs with XMM-Newton will not only help to increase the number of known IMBH, it will also be one way to help understand the relationship between the X-ray and optical/UV emission as the OM points in the same direction as the X-ray telescopes, allowing many TDEs to have contemporary X-ray and optical/UV observations. In addition, studying the X-ray spectra of TDEs when they are bright will allow us to probe the physical mechanism behind super-Eddington accretion, which may have played a significant role in the growth of SMBH.
Whilst IMBH in orbit with another compact object could instead be detected with gravitational waves, current facilities can not detect black holes with masses in excess of a few hundred solar masses (e.g. Aasi \BOthers., \APACyear2014) and therefore most of the IMBH mass range can not be exploited. Only future facilities, such as LISA will be able to detect IMBH (Barausse \BOthers., \APACyear2015), but these observations will not take place for more than fifteen years. It is therefore timely to exploit X-ray observations today to maximise our understanding of IMBHs and the formation and evolution of massive black holes. It is clear that if XMM-Newton were to function as suggested here, it would also be beneficial for finding other highly variable X-ray emitting objects and allowing their rapid follow up.
The reference list from the paper itself. Each links out to its DOI / PubMed record.
- 1Aasi \B Others . ( \APA Cyear 2014) \APA Cinsertmetastar aasi 14 {APA Crefauthors} Aasi, J., Abbott, B \BPBI P., Abbott, R. et al. \APA Cref Year Month Day 2014 \APA Cmonth 05, \APA Cjournal Vol Num Pages Phys. Rev. D 8910102006. {APA Cref DOI} 10.1103/Phys Rev D.89.102006 \Print Back Refs \Current Bib · doi ↗
- 2Auchettl \B Others . ( \APA Cyear 2017) \APA Cinsertmetastar auch 17 {APA Crefauthors} Auchettl, K., Guillochon, J. \BCBL \BBA Ramirez-Ruiz, E. \APA Cref Year Month Day 2017 \APA Cmonth 04, \APA Cjournal Vol Num Pages Ap J 838149. {APA Cref DOI} 10.3847/1538-4357/aa 633b \Print Back Refs \Current Bib · doi ↗
- 3Bañados \B Others . ( \APA Cyear 2018) \APA Cinsertmetastar bana 18 {APA Crefauthors} Bañados, E., Venemans, B \BPBI P., Mazzucchelli, C. et al. \APA Cref Year Month Day 2018 \APA Cmonth 01, \APA Cjournal Vol Num Pages Nature 553473-476. {APA Cref DOI} 10.1038/nature 25180 \Print Back Refs \Current Bib · doi ↗
- 4Bachetti \B Others . ( \APA Cyear 2014) \APA Cinsertmetastar bach 14 {APA Crefauthors} Bachetti, M., Harrison, F \BPBI A., Walton, D \BPBI J. et al. \APA Cref Year Month Day 2014 \APA Cmonth 10, \APA Cjournal Vol Num Pages Nature 514202-204. {APA Cref DOI} 10.1038/nature 13791 \Print Back Refs \Current Bib · doi ↗
- 5Barausse \B Others . ( \APA Cyear 2015) \APA Cinsertmetastar bara 15 {APA Crefauthors} Barausse, E., Bellovary, J., Berti, E., Holley-Bockelmann, K., Farris, B., Sathyaprakash, B. \BCBL \BBA Sesana, A. \APA Cref Year Month Day 2015 \APA Cmonth 05, \BBOQ \APA Crefatitle Massive Black Hole Science with e LISA Massive Black Hole Science with e LISA. \BBCQ \B In \APA Crefbtitle Journal of Physics Conference Series Journal of Physics Conference Series \BVOL 610, \BPG 012001. {APA Cref D · doi ↗
- 6Blagorodnova \B Others . ( \APA Cyear 2017) \APA Cinsertmetastar blag 17 {APA Crefauthors} Blagorodnova, N., Gezari, S., Hung, T. et al. \APA Cref Year Month Day 2017 \APA Cmonth 07, \APA Cjournal Vol Num Pages Ap J 84446. {APA Cref DOI} 10.3847/1538-4357/aa 7579 \Print Back Refs \Current Bib · doi ↗
- 7Boller \B Others . ( \APA Cyear 2016) \APA Cinsertmetastar boll 16 {APA Crefauthors} Boller, T., Freyberg, M \BPBI J., Trümper, J., Haberl, F., Voges, W. \BCBL \BBA Nandra, K. \APA Cref Year Month Day 2016 \APA Cmonth 04, \APA Cjournal Vol Num Pages A&A 588A 103. {APA Cref DOI} 10.1051/0004-6361/201525648 \Print Back Refs \Current Bib · doi ↗
- 8Bolton ( \APA Cyear 1972) \APA Cinsertmetastar bolt 72 {APA Crefauthors} Bolton, C \BPBI T. \APA Cref Year Month Day 1972 \APA Cmonth 02, \APA Cjournal Vol Num Pages Nature 235271-273. {APA Cref DOI} 10.1038/235271 b 0 \Print Back Refs \Current Bib · doi ↗
