Ultra-stripped supernovae are diferent from other terminal explosions of massive
stars, as they show little or no ejecta from the actual supernova event1,2
. They are
thought to occur in massive binary systems after the exploding star has lost its surface
through interactions with its companion2
. Such supernovae produce little to no kick,
leading to the formation of a neutron star without loss of the binary companion,
which itself may also evolve into another neutron star2
. Here we show that a recently
discovered high-mass X-ray binary, CPD −29 2176 (CD −29 5159; SGR 0755-2933)3–6
, has
an evolutionary history that shows the neutron star component formed during an
ultra-stripped supernova. The binary has orbital elements that are similar both in
period and in eccentricity to 1 of 14 Be X-ray binaries that have known orbital periods
and eccentricities7
. The identifcation of the progenitors systems for ultra-stripped
supernovae is necessary as their evolution pathways lead to the formation of binary
neutron star systems. Binary neutron stars, such as the system that produced the
kilonova GW170817 that was observed with both electromagnetic and gravitational
energy8
, are known to produce a large quantity of heavy elements
Biopesticide (2).pptx .This slides helps to know the different types of biop...
A high-mass X-ray binary descended from an ultra-stripped supernova
1. Nature | Vol 614 | 2 February 2023 | 45
Article
Ahigh-massX-raybinarydescendedfroman
ultra-strippedsupernova
Noel D. Richardson1✉, Clarissa M. Pavao1
, Jan J. Eldridge2
, Herbert Pablo3
,
André-Nicolas Chené4
, Peter Wysocki5
, Douglas R. Gies5
, George Younes6,7
& Jeremy Hare6
Ultra-strippedsupernovaearedifferentfromotherterminalexplosionsofmassive
stars,astheyshowlittleornoejectafromtheactualsupernovaevent1,2
.Theyare
thoughttooccurinmassivebinarysystemsaftertheexplodingstarhaslostitssurface
throughinteractionswithitscompanion2
.Suchsupernovaeproducelittletonokick,
leadingtotheformationofaneutronstarwithoutlossofthebinarycompanion,
whichitselfmayalsoevolveintoanotherneutronstar2
.Hereweshowthatarecently
discoveredhigh-massX-raybinary,CPD−292176(CD−295159;SGR0755-2933)3–6
,has
anevolutionaryhistorythatshowstheneutronstarcomponentformedduringan
ultra-strippedsupernova.Thebinaryhasorbitalelementsthataresimilarbothin
periodandineccentricityto1of14BeX-raybinariesthathaveknownorbitalperiods
andeccentricities7
.Theidentificationoftheprogenitorssystemsforultra-stripped
supernovaeisnecessaryastheirevolutionpathwaysleadtotheformationofbinary
neutronstarsystems.Binaryneutronstars,suchasthesystemthatproducedthe
kilonovaGW170817thatwasobservedwithbothelectromagneticandgravitational
energy8
,areknowntoproducealargequantityofheavyelements9,10
.
The Be star CPD −29 2176 was found coincident on the sky to SGR
0755-2933 (2SXPS J075542.5−293353) after the object experienced
a magnetar-like burst3–5
(see the Methods section for details).
Ground-based optical spectroscopy of the object was carried out to
analysethemotionoftheBestarandtoprovethattheBestarwasbound
totheneutronstar.ThestarhasbeenclassifiedasbothaB0Ve11–13
anda
hotterO6/8star14
.Ourground-basedspectroscopyonlyshowstheone
HeIIlineat4,686 Å,consistentwithaB0Vestar,asanOstarclassifica-
tionwouldhavemoreHeIIlines.ThespectrumisalsotypicalofaBestar,
showingemissionfromhydrogenBalmerlines,singlyionizedironand
neutralhelium.Ourdataonlyshowthehighexcitationlineofionized
helium at 4,686 Å in absorption, representing the only emission-free
photosphericabsorptionlineintheoptical.Radialvelocitiesofthisline
(ExtendedDataTable1)showaperiodicsignalwithaperiodof59.5 dand
asemi-amplitudeof2.76 km s−1
(Table1).Ourorbitfitsshowthistobea
circularorbitwhenconsideringtheresidualsforbothitandaslightly
eccentricbinary15
,althoughweprovidebothsolutionsinTable1.This
represents a single-lined spectroscopic orbit for the system, which is
shown in Fig. 1. For any spectroscopic orbit, the measured mass func-
tion relates the masses of the two component stars to the inclination
of the system. This function is dependent on the eccentricity, e, the
semi-amplitudeoftheorbitandtheperiod,P,oftheorbitind.Weshow
this relationship for a range of inclinations in Fig. 1. If we assume that
thecompanionisaneutronstarwiththeChandrasekharmassof1.44M☉,
thentheallowedinclinationforanormalmassofaB0Vestarimpliesa
nearly face-on inclination between approximately 10° and 15°. This is
fullyconsistentwiththeobservedemissionlinesinthesystemthatare
narrowforBestars,andarelikeothernearlyface-onclassicalBestars.
The orbital separation is an order of magnitude greater than the
expectedBestarradius.Inaddition,themassratiobetweentheneutron
star and the Be star is below 0.1. These factors, by a simple estimate,
suggest the circularization timescale for the binary is of the order
of 100 Myr16
, which is longer than the age of the system. Of note, the
line-of-sightvelocity(γ)ismeasuredtobe58.1 km s−1
,whichislargefor
nearbystars.Suchahighvelocityisoftenassociatedwithrunawaystars,
forwhichthesestarshavemanagedtoobtainavelocitylargeenoughto
leavetheiroriginalorbitsaroundtheGalacticplanebecauseofeither
multi-body interactions or supernovae kicks. However, CPD −29 2176
is not nearby, but instead it is in the outer Galactic plane, where such
velocitiesareexpectedanddonotindicaterunawaystatus.Assuch,it
probablyhasanear-circularorbitintheGalaxy,whichimpliesthatthe
formationoftheneutronstardidnotimpartasubstantialvelocitykick
tothesystem.IthasbeenshownthattheBeX-raybinariesoftenshow
typical kinematics in the Galactic potential17
, making CPD −29 2176 a
normal system with respect to its γ velocity.
To understand the previous and future evolution of this binary sys-
tem, we have searched through the Binary Population and Spectral
Synthesis(BPASS)v.2.2binaryevolutionmodelscalculatedwithsolar
metallicity(Z = 0.02)18,19
.Wefirstsearchedformodelsthatmatchedthe
system as currently observed. To do this, we selected only the BPASS
secondarymodelsforwhichanormalstarorbitsacompactcompanion.
We require that log(Teff) = 4.44 ± 0.05, the orbital period is 59.5 days
andthatthestarisonthemainsequence(whereTeff istheeffectivetem-
perature in kelvin). We constrain the luminosity of the star by assum-
ing a distance of 3.84 kpc for the system and use UBVJHK magnitudes
taken from the SIMBAD (Set of Identifications, Measurements and
https://doi.org/10.1038/s41586-022-05618-9
Received: 1 May 2022
Accepted: 1 December 2022
Published online: 1 February 2023
Check for updates
1
Department of Physics and Astronomy, Embry-Riddle Aeronautical University, Prescott, AZ, USA. 2
Department of Physics, University of Auckland, Auckland, New Zealand. 3
American
Association of Variable Star Observers, Cambridge, MA, USA. 4
Gemini Observatory, Northern Operations Center, Hilo, HI, USA. 5
CHARA and the Department of Physics and Astronomy,
Georgia State University, Atlanta, GA, USA. 6
NASA Goddard Space Flight Center, Greenbelt, MD, USA. 7
Department of Physics, The George Washington University, Washington, DC, USA.
✉e-mail: noel.richardson@erau.edu
2. 46 | Nature | Vol 614 | 2 February 2023
Article
BibliographyforAstronomicalData)database.Weestimateextinction
owing to dust of AV = 1.8 mag according to fits of the stellar spectral
energy distribution.
This search identifies several models that match. For the next step,
wenowconsidertheevolutionthatoccursbeforetheformationofthe
compact companion. Here we search for the BPASS primary models
that give rise to our selected secondary models. To reduce the list of
possible models further we consider what happens at the first super-
nova.Hereweusetheconstraintthatthebinaryistodaycircular,which
requires us to pick out the models that have the smallest ejecta mass
with Mejecta < 0.1 Mtotal so that the orbit remains circular, and the sys-
temicvelocityremainswithinthenormalrangeformassivestarsinthe
Galacticplane.Byapplyingthisfilter,weonlyfindtwomodelsforwhich
theejectamassesaresufficientlysmall,indicatingahighlikelihoodof
being observed today with nearly circular orbits. The parameters of
the two binary models found are given in Table 2.
We show the evolution of these models in Fig. 2. We see in the
Hertzsprung–Russell diagram that mass transfer occurs towards the
end of the main sequence of the primary star. This leads to efficient
masstransfer,substantiallyincreasingthesecondarymassandreduc-
ingtheprimarytoalow-massheliumstar.Theprimarythencollapses
as a low-mass helium star to form a neutron star. The system is today
observed only a few million years after the supernova. In the future,
the secondary will interact with the neutron star, and the secondary
will become a stripped helium star towards the end of its lifetime.
The source for the low kick in the core-collapse could be related to
thenatureofthesupernova.Inthemodelswepresent,thefinalCOcore
massesareabout1.5M☉.Withthismass,andbecauseitlostitshydrogen
envelopes, the progenitor will not experience an electron-capture
supernova in an ONe core. They will probably proceed towards an
iron-core-collapse20
.Electron-captureprogenitorscouldbepossible,
butwouldrequirelowermassprogenitorsoradifferentmasstransfer
history to obtain a lower core mass for the progenitor21
. However, the
natureofthecore-collapseisnotimportantastheejectamassandthe
resultantkickisalwaysthelimitingconstraintonprovidingthenearly
circularorbit.Furtherstudyoftheneutronstarinthissystemmaygive
insight into the nature of the collapse that led to its formation.
In Fig. 2, we also show how the masses of the two stars and the radii
vary with age. We see that there are two mass transfer events for the
primary.Thefirsteventoccursattheendofitsmainsequenceandasec-
ondepisodeoccursafewmillionyearsaftertheprimarystarattempts
tobecomeacoolsupergiant.Thestaralsoapproachesafinalinterac-
tionwhenitgrowsinradiustobecomeaheliumgiant.Wenotethatin
allcasesthemasstransferisstable,andthesystemneverexperiences
common-envelopeevolution.Giventhatthefinalprimarymassisclose
to2M☉ andthetotalmassofthesystemiscloseto20M☉,weexpectthat
theorbitwillbeminimallyaffectedbythecore-collapseoftheoriginal
primarycomponent.Weseethatafterthefirstsupernova,thesystem
will be observable in its current state for many millions of years.
Thereisofcoursesomeuncertaintyinbinaryevolution,butwebelieve
that this picture is robust with the biggest uncertainty being whether
theoriginalprimarystarexperiencesasupernovaasanultra-stripped
supernovaorifitdirectlycollapsedintotheneutronstar.However,given
that the companion is so massive, the mechanics of the core-collapse
have little impact on the orbit that we observe today. Also, given that
none of the interactions are common-envelope evolution but are all
stable mass transfer, the remaining uncertainties are related to how
muchsystemicmasslossoccursintheinteractions(non-conservative
evolution). The future evolution of the system will see the size of the
orbit shrink as mass is transferred from the Be star towards the neu-
tron star and is then ejected from the system. The current-day Be star
should then explode leaving behind a neutron star to create a binary
neutronstarsystem.WiththeBPASSmodels,wefindthesystemwilllast
Table 1 | Orbital elements of CPD −29 2176
Orbital element Value
(circular solution)
Value
(elliptical solution)
Period, P 59.52±0.55d 59.69±0.15d
Eccentricity, e 0.0 (fixed) 0.06±0.06
Longitude of periastron, ω 0.0° (fixed) 165.9°±4.2°
Semi-amplitude, K1 2.76±0.49kms−1
2.16±0.15kms−1
Line-of-sight velocity, γ 58.07±0.35kms−1
58.62±0.11kms−1
Time of periastron HJD 2458387.64±2.75 HJD 2458353.24±0.70
Root mean square of
residuals
1.65kms−1
1.74kms−1
0 0.5 1.0
Phase
54
56
58
60
62
64
Radial
velocity
(km
s
–1
)
a
0 25 50
M1 (M()
0.5
1.0
1.5
2.0
2.5
M
2
(M
(
)
i = 60º
b
i = 30º
i = 15º
i = 10º
Fig.1|OrbitalpropertiesofCPD−292176.a,Thesingle-linedspectroscopic
orbitofCPD−292176withthecircularorbitalelementsgiveninTable1and1σ
errorbarsforthedata.b,Themassfunctionofthebinarysystemwithanominal
rangeofmassesfortheBestar(verticaldashedlines)andtheChandrasekhar
mass(horizontaldashedline).Themassrelationsforavarietyofinclinations
areshown.
Table 2 | Binary model parameters for evolutionary history
discussed in the text
Parameter Model 1 Model 2
M1 (initial) 12.0M☉ 12.0M☉
M2 (initial) 9.6M☉ 8.4M☉
log[P (days)] (initial) 0.4 0.4
M1 (remnant) 1.4M☉ 1.4M☉
M2 (post-supernova) 19.0M☉ 18.0M☉
log[P (days)] (post-supernova) 1.8 1.8
4. Article
Methods
ChandraX-rayObservatory
The Chandra X-ray Observatory observed SGR 0755-2933 by using
the Advanced CCD Spectrometer (ACIS)24
on 2019 October 3 (MJD
58759.2; obsID 22454) for 29.69 ks. The source was imaged on the
front-illuminated ACIS-I3 chip in timed exposure mode and the data
were telemetered by using the FAINT format. The data were reduced
and analysed by using the Chandra Interactive Analysis of Obser-
vations (CIAO) software v.4.12 with CALDB v.4.9.2.1. Before analy-
sis, the Chandra event file was reprocessed by using the CIAO tool
chandra_repro.
The CIAO tool wavdetect was run on the 0.5–8 keV energy band
image to locate all sources in the field of view. In total, 31 sources
were detected at a signal-to-noise ratio (S/N) larger than 3. SGR 0755-
2933 was by far the brightest source detected in the field with a S/N
of 756. The 90% absolute astrometric accuracy of Chandra is 0.8 arc-
secs (https://cxc.harvard.edu/cal/ASPECT/celmon/). However, this
can be partially corrected for by cross-matching X-ray sources with
GaiaopticalsourcesandcorrectingtheabsoluteastrometryofChan-
dra (https://cxc.cfa.harvard.edu/ciao/threads/reproject_aspect/).
WefoundfourX-raysources(excludingSGR0755-2933),locatedwithin
6 arcmin of the aim point and detected at a S/N > 5, with Gaia optical
counterpartslocatedwithin1”oftheX-raysourceposition.Beforeany
astrometriccorrection,theaverageoffsetbetweenthefourChandra
sourcesandtheirGaiacounterpartswas0.56”.WethenusedtheCIAO
tools wcs_match, to calculate an updated astrometric solution, and
wcs_updatetoapplythecoordinatetransformtotheeventfile.Anoff-
setof0.54”(Δα = −0:47”,Δδ = −0:27”)wasfoundandcorrectedfor.After
applyingthecorrection,theaverageoffsetbetweenthefourChandra
sourcesandtheirGaiacounterpartsimprovedto0.18”.Weadoptthis
averageresidualoffsetastheremainingsystematic1σuncertaintyon
the absolute astrometry.
After correcting the astrometry we reran the CIAO tool wavdetect
on the 0.5–8.0 keV energy filtered image. SGR 0755-2933 is detected
at a position of right ascension = 07 h 55 min 42.479 s, declination =
−29° 33′ 53.46″. We calculate positional uncertainty of the source
by adding the statistical uncertainties of the right ascension and
declinationtothesystematicresidualuncertaintiesfromtheabsolute
astrometry in quadrature, and find the positional uncertainty of the
source to be 0.4” at the 2σ level.
Multi-wavelengthcounterpart
Thereisasinglepotentialmulti-wavelengthcounterpartlocatedwithin
1” of the Chandra source position of SGR 0755-2933. This source has
a Gaia position offset from the X-ray position of only 0.09’’. The Gaia
measuredparallax,π = 0.26 ± 0.03 mas,andpropermotion,μα cos δ =
−2.66 ± 0.04 mas yr−1
, μδ = 2.68 ± 0.05 mas yr−125
, of the source place
it at a distance of 3.36 ± 0.16 kpc based on the inference method that
has been implemented26
. The source is relatively bright having a Gaia
G-band magnitude, G = 9.94, and has been classified as a B0Ve-type
starthroughopticalspectroscopy11–13
.TheBe-typestarstypicallyhave
a‘decretion’diskduetotheirfastrotation27
.Inaddition,thesourceflux
has also been observed to be variable28,29
.
Given the neutron star nature of SGR 0755-2933, it is important to
understandwhetherornotthispotentialopticalcounterpartcouldbea
binarycompaniontotheneutronstarorifitisjustachancecoincidence
overlap.Tocalculatethechancecoincidenceprobabilityoftheneutron
star and Be star being spatially collocated, we calculate the probabil-
ity of one or more Gaia sources landing within the 2σ X-ray positional
uncertaintyofSGR0755-2933(thatis,Δr2
2σ)bychance.Thisprobability
is PGaia = 1 − exp(−ρGaiaπΔr2
2σ), where ρGaia is the density of Gaia sources
withina5′radiussurroundingSGR0755-2933.ByusingtheGaiasource
densityof7 × 10−3
arcsec−2
,wefindachancecoincidenceprobabilityof
PGaia ≈ 0.4%. If instead we only consider bright optical sources (that is,
G < 10), which are relatively rare, the chance coincidence probability
dropstoPGaia ≈ 4 × 10−4
%.Therefore,itisunlikelythatthesesourcesare
collocatedbychance,anditismuchmoreprobablethatabrightoptical
source is the binary companion to SGR 0755-2933.
Radialvelocitiesandaspectroscopicorbit
Ouropticalspectroscopydatawerecollectedwiththe1.5 mtelescope
andtheCHIRONspectrograph30
fromtheCerroTololoInteramerican
Observatory. The data were reduced with the standard pipeline for
reductionsthatwasrecentlydescribedintheliterature31
.Weextracted
the order containing the He II λ4686 absorption profile, and we fit
the line with a Gaussian profile to measure the centroid position.
AnexamplefitisshowninExtendedDataFig.1,andourmeasurements
aretabulatedinExtendedDataTable1.Wefoundthattheerrorsinthese
measurements were 2.4 km s−1
on average.
We derive a period by using Fourier analysis. We used the Period04
software32
toderivetheperiodofthesystemof59.57 ± 0.55 d,whichisa
peakwithasignal-to-noiseratioof3.14,representinga3σsignificance,
asshowninExtendedDataFig.2.Theσisdescribedindepthinapaper
describingthebinarysolutionofthelate-OstarιOri33
,andwecalculated
the significance by using both these methods and the methods built
into the Period0432
software, yielding similar results, thus giving us
99% confidence in the period derived.
Themeasuredpositionswerefitwithanorbitbyusingmultiplefitting
routinessuchasPHOEBE34
andthepythonpackageBinaryStarSolver35
.
The results were similar and within the 1σ errors for both solutions
and we report our best fit circular orbit in Table 1. Furthermore, we
considered if eccentric orbits could better describe the system, but
with the statistical methods for orbital solutions15
, we find that the
orbit of the system should be considered circular as the root mean
squareofthecircularorbitissmallerthanthatoftheeccentricsolution.
Theeccentricityderivedwas1σofcircular,withe = 0.06 ± 0.06,giving
further confidence in our derivation of a circular orbit.
KinematicsofthesystemintheGalacticplane
ThesystemislocatedatGalacticcoordinates(l,b) = (246.2,−0.6)anda
distanceofd = 3.36 ± 0.16 kpcfromGaiaDR326
.Thisplacesthesystem
closetotheGalacticplanez = −36.0 ± 1.7 pcintheouterPerseusarmof
theGalaxy36
,andthereareanumberofmassiveOBstarsinitsvicinity11
.
We used the coordinates, proper motion and distance from Gaia DR3
together with the systemic velocity, γ, from Table 1 to find the com-
ponents of peculiar velocity relative to its local standard of rest. The
estimatesweremadebyusingthemethodspreviouslyusedtosearch
for high velocity Be stars37
. We find a peculiar tangential velocity of
5.8 ± 0.4 km s−1
and a peculiar radial velocity of 14.2 ± 3.0 km s−1
, yield-
ing a total peculiar space velocity of 15.3 ± 3.0 km s−1
. This is similar
to but smaller than a previous estimate of the peculiar space velocity
found to be 26.1 ± 15.7 km s−1
(ref. 38
). The modest peculiar velocity is
consistentwithitslocationnearitspresumedbirthplaceintheplane,
anditisalsoconsistentwiththerelativelylowrunawayvelocitiesofBe
X-raybinaries(averagepeculiartangentialvelocityof11 ± 7 km s−1
)18,39
.
Dataavailability
Thereducedspectroscopicdatathatsupporttheplotswithinthispaper
and other findings of this study are available from the corresponding
author upon request. The raw data are available from the NOIR Lab
archive. BPASS results and stellar models are available from bpass.
auckland.ac.nz.
Codeavailability
Thedataanalysiscodeusedinthisanalysisisallopen-sourcesoftware.
BPASS results and stellar models are available from bpass.auckland.
ac.nz.
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SPIE 4851, 28 (2003).
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properties. Astron. Astrophys. 616, 1 (2018). 1804.09365.
26. Bailer-Jones, C. A. L. et al. Estimating distance from parallaxes. IV. Distances to 1.33 billion
stars in Gaia data release 2. Astron. J. 156, 58 (2018).
27. Rivinius, T. H. et al. Classical Be stars. Rapidly rotating B stars with viscous Keplerian
decretion disks. Astron. Astrophys. Rev. 21, 69 (2013).
28. Watson, C. L. et al. The international variable star index (VSX). In Proc. 25th Annual
Conference of the Society for Astronomical Sciences, Vol. 25 (eds Warner B. D. et al.)
47–56 (Society for Astronomical Sciences, 2006).
29. Samus’, N. N. et al. General catalogue of variable stars: version GCVS 5.1. Astron. Rep. 61,
80 (2017).
30. Tokovinin, A. et al. CHIRON—a fiber fed spectrometer for precise radial velocities. Publ.
Astron. Soc. Pac. 125, 1336 (2013). 1309.3971.
31. Parades, L. et al. The solar neighborhood XLVIII: nine giant planets orbiting nearby K dwarfs,
and the CHIRON spectrograph’s radial velocity performance. Astron. J. 162, 176 (2021).
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33. Pablo, H. et al. The most massive heartbeat: an in-depth analysis of Orionis. Mon. Not. R.
Astron. Soc. 467, 2494 (2017).
34. Prša, A. et al. Physics of eclipsing binaries. II. Toward the increased model fidelity.
Astrophys. J. Suppl. Ser. 227, 29 (2016). 1609.08135.
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Astrophysics Source Code Library, record ascl:2012.004 (https://ascl.net/2012.004;
2020).
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photogeometric distances to 1.47 billion stars in gaia early data release 3. Astron. J. 161,
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Acknowledgements C.P. acknowledges support from the Embry-Riddle Aeronautical
University’s Undergraduate Research Institute and the Arizona Space Grant. This research was
partially supported through the Embry-Riddle Aeronautical University’s Faculty Innovative
Research in Science and Technology (FIRST) Program. The spectroscopy from CTIO was
collected through the NOIR Lab program nos. 2018B-0137 and 2020A-0054. This research has
used data from the CTIO/SMARTS 1.5m telescope, which is operated as part of the SMARTS
Consortium by RECONS (www.recons.org) members T. Henry, H. James, W.-C. Jao and
L. Paredes. At the telescope, observations were carried out by R. Aviles and R. Hinojosa.
Author contributions The project was started and the spectroscopy was proposed by H.P.,
N.D.R. and A.-N.C. J.H. and G.Y. confirmed the astrometry of the neutron star with Swift and
Chandra observations, showing it to be coincident with the Be star. C.P. reduced and analysed
the spectroscopic data with guidance from N.D.R. The Galactic kinematics were done by P.W.
and D.R.G. J.J.E. modelled the binary evolution of the system. All authors discussed and
commented on the manuscript.
Competing interests The authors declare no competing interests.
Additional information
Correspondence and requests for materials should be addressed to Noel D. Richardson.
Peer review information Nature thanks John Antoniadis and the other, anonymous, reviewer(s)
for their contribution to the peer review of this work.
Reprints and permissions information is available at http://www.nature.com/reprints.