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A Preprint typeset using LTEX style emulateapj v. 05/12/14

ALMA LONG BASELINE OBSERVATIONS OF THE STRONGLY LENSED SUBMILLIMETER GALAXY HATLAS J090311.6+003906 AT Z =3.042
A L M A PA RT N E R S H I P, C . V L A H A K I S 1,2 , T. R . H U N T E R 3 , J . A . H O D G E 3 , L . M . P è R E Z 4 , P. A N D R E A N I 5 , C . L . B RO G A N 3 , P. C OX 1,2 , S . M A RT I N 6 , M . Z WA A N 5 , S . M AT S U S H I TA 7 , W. R . F. D E N T 1,2 , C . M . V. I M P E L L I Z Z E R I 1,3 , E . B . F O M A L O N T 1,3 , Y. A S A K I 8,9 , D . BA R K AT S 1,2 , R . E . H I L L S 10 , A . H I ROTA 1,8 , R . K N E I S S L 1,2 , E . L I U Z Z O 11 , R . L U C A S 12 , N . M A R C E L I N O 11 , K . NA K A N I S H I 1,8 , N . P H I L L I P S 1,2 , A . M . S . R I C H A R D S 13 , I . T O L E D O 1 , R . A L A D RO 2 , D . B RO G U I E R E 6 , J . R . C O RT E S 1,3 , P. C . C O RT E S 1,3 , D . E S PA DA 1,8 , F. G A L A R Z A 1 , D . G A R C I A - A P PA D O O 1,2 , L . G U Z M A N - R A M I R E Z 2 , A . S . H A L E S 1,3 , E . M . H U M P H R E Y S 5 , T. J U N G 14 , S . K A M E N O 1,8 , R . A . L A I N G 5 , S . L E O N 1,2 , G . M A R C O N I 1,2 , A . M I G NA N O 11 , B . N I KO L I C 10 , L . - A . N Y M A N 1,2 , M . R A D I S Z C Z 1 , A . R E M I JA N 1,3 , J . A . RO D ñ N 2 , T. S AWA DA 1,8 , S . TA K A H A S H I 1,8 , R . P. J . T I L A N U S 15 , B . V I L A V I L A RO 1,2 , L . C . WAT S O N 2 , T. W I K L I N D 1,2 , Y. AO 8 , J . D I F R A N C E S C O 16 , B . H AT S U K A D E 8 , E . H AT Z I M I NAO G L O U 5 , J . M A N G U M 3 , Y. M AT S U DA 8 , E . VA N K A M P E N 5 , A . W O OT T E N 3 , I . D E G R E G O R I O - M O N S A LVO 1,2 , G . D U M A S 6 , H . F R A N C K E 1 , J . G A L L A R D O 1 , J . G A R C I A 1 , S . G O N Z A L E Z 1 , T. H I L L 1,2 , D . I O N O 8 , T. K A M I N S K I 2 , A . K A R I M 17 , M . K R I P S 6 , Y. K U RO N O 1,8 , C . L O N S DA L E 3 , C . L O P E Z 1 , F. M O R A L E S 1 , K . P L A R R E 1 , L . V I D E L A 1 , E . V I L L A R D 1,2 , J . E . H I B BA R D 3 , K . TAT E M AT S U 8

arXiv:1503.02652v3 [astro-ph.GA] 3 Apr 2015

ABSTRACT We present initial results of very high resolution Atacama Large Millimeter/submillimeter Array (ALMA) observations of the z=3.042 gravitationally lensed submillimeter galaxy HATLAS J090311.6+003906 (SDP.81). These observations were carried out using a very extended configuration as part of Science Verification for the 2014 ALMA Long Baseline Campaign, with baselines of up to 15 km. We present continuum imaging at 151, 236 and 290 GHz, at unprecedented angular resolutions as fine as 23 milliarcseconds (mas), corresponding to an un-magnified spatial scale of 180 pc at z=3.042. The ALMA images clearly show two main gravitational arc components of an Einstein ring, with emission tracing a radius of 1.5 . We also present imaging of CO J =10-9, J =8-7, J =5-4 and H2 O (202 - 111 ) line emission. The CO emission, at an angular resolution of 170 mas, is found to broadly trace the gravitational arc structures but with differing morphologies between the CO transitions and compared to the dust continuum. Our detection of H2 O line emission, using only the shortest baselines, provides the most resolved detection to date of thermal H2 O emission in an extragalactic source. The ALMA continuum and spectral line fluxes are consistent with previous Plateau de Bure Interferometer and Submillimeter Array observations despite the impressive increase in angular resolution. Finally, we detect weak unresolved continuum emission from a position that is spatially coincident with the center of the lens, with a spectral index that is consistent with emission from the core of the foreground lensing galaxy. Subject headings: galaxies: high-redshift -- submillimeter: galaxies -- techniques: high angular resolution -- techniques: interferometric -- galaxies: ISM -- galaxies: individual: HATLAS J090311.6+003906 -- gravitational lensing: strong

cvlahaki@alma.cl 1 Joint ALMA Observatory, Alonso de CÑrdova 3107, Vitacura, Santiago, Chile 2 European Southern Observatory, Alonso de CÑrdova 3107, Vitacura, Santiago, Chile 3 National Radio Astronomy Observatory, 520 Edgemont Rd, Charlottesville, VA, 22903, USA 4 National Radio Astronomy Observatory, P.O. Box O, Socorro, NM 87801, USA 5 European Southern Observatory, Karl-Schwarzschild-Str. 2, D-85748 Garching bei MÝnchen, Germany 6 IRAM, 300 rue de la piscine 38400 St Martin d'HÕres, France 7 Institute of Astronomy and Astrophysics, Academia Sinica, P.O. Box 23-141, Taipei 106, Taiwan 8 National Astronomical Observatory of Japan, 2-21-1 Osawa, Mitaka, Tokyo 181-8588, Japan 9 Institute of Space and Astronautical Science (ISAS), Japan Aerospace Exploration Agency (JAXA), 3-1-1 Yoshinodai, Chuo-ku, Sagamihara, Kanagawa 252-5210 Japan 10 Astrophysics Group, Cavendish Laboratory, JJ Thomson Avenue, Cambridge, CB3 0HE, UK 11 INAF, Istituto di Radioastronomia, via P. Gobetti 101, 40129 Bologna, Italy 12 Institut de PlanÈtologie et d'Astrophysique de Grenoble (UMR 5274), BP 53, 38041, Grenoble Cedex 9, France 13 Jodrell Bank Centre for Astrophysics, School of Physics and Astronomy, University of Manchester, Oxford, Road, Manchester M13 9PL, UK 14 Korea Astronomy and Space Science Institute, Daedeokdae-ro 776,

Yuseong-gu, Daejeon 305-349, Korea 15 Leiden Observatory, Leiden University, P.O. Box 9513, 2300 RA Leiden, The Netherlands 16 National Research Council Herzberg Astronomy & Astrophysics, 5071 West Saanich Road, Victoria, BC V9E 2E7, Canada 17 Argelander-Institute for Astronomy, Auf dem Hugel 71, D-53121 Bonn, Germany


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ALMA Partnership et al. SV observations. Section 2 describes the observations and data reduction. In Section 3, we present the data and initial results, and in Section 4, we discuss initial conclusions and the potential these rich data offer for detailed future analysis. Throughout this paper, we adopt a cosmology with H0 =67 km s-1 Mpc-1 , m =0.32, =0.68 (Planck et al. 2014).
2. OBSERVATIONS AND DATA REDUCTION

1. INTRODUCTION Dusty star-forming galaxies make up a significant fraction of the star formation rate (SFR) space density of the Universe at z2-3, where they are most numerous (e.g. Chapman 2005; Casey et al. 2014). A powerful probe of their properties is provided by gravitational lensing, with the magnification of both flux and apparent solid angle making it possible to study in detail regions of luminosity-redshift space that would otherwise be inaccessible. Surveys that cover large areas of sky, e.g. the Herschel Astrophysical Terahertz Large Area Survey (H-ATLAS; Eales et al. 2010), Herschel HERMES (Oliver et al. 2012) and the South Pole Telescope Survey (Vieira et al. 2010), have recently uncovered a large population of strongly-lensed sources, confirming previous predictions (Blain 1996; Negrello et al. 2007). Other surveys, e.g. the Herschel Lensing Survey (Egami et al. 2010) are searching for lensed sources in a targeted way. A review is given by Lutz et al. (2014). At submillimeter (submm) wavelengths, the study of redshifted atomic and molecular lines in gravitationally lensed sources provides a useful diagnostic tracer of their interstellar medium (ISM) and star formation properties, active galactic nuclei (AGN), structure and dynamics (e.g. Swinbank et al. 2010, 2011; Riechers et al. 2011a; Fu et al. 2013). In addition to CO lines, the magnification provided by lensing also makes it possible to observe molecular species that would otherwise be difficult to observe at high redshift, such as HCO+ , HCN or H2 O lines (e.g. Gao et al. 2007; Riechers et al. 2011b; Spilker et al. 2014; Omont et al. 2013, hereafter OM13). H2 O emission lines provide some of the strongest molecular lines in local Ultra-luminous Infrared Galaxies (ULIRGs) and starburst galaxies (e.g. Gonzalez-Alfonso et al. 2004; van der Werf et al. 2010), and strong water lines have now been detected in a number of high-z galaxies (OM13 and references therein). HATLAS J090311.6+003906 (hereafter SDP.81) is a gravitationally lensed submm galaxy (SMG) at z=3.042 that was detected in H-ATLAS by Negrello et al. (2010, hereafter NE10). Based on spectroscopic redshifts from observations of several CO lines, NE10 determined that SDP.81 is a background source at z=3.042 that is being lensed by a foreground elliptical galaxy at z=0.299. Lens modeling analysis by Dye et al. (2014) and Bussmann et al. (2013, hereafter BU13) shows a magnification factor µ 11. From NE14, the unmagnified infrared luminosity for the background source is 5.1â1012 L and the estimated intrinsic SFR is 527 M yr-1 . SDP.81 has been studied in dust continuum emission using the Submillimeter Array (SMA) (e.g. NE10) and in molecular lines (CO and H2 O (202 - 111 )) using the IRAM Plateau de Bure interferometer (PdBI; OM13), achieving angular resolutions of 0.6­3 . At this resolution, the dust continuum and molecular emission begin to resolve into multiple components, with the SMA and PdBI images indicating two gravitational arcs. Recently, the Atacama Large Millimeter/submillimeter Array (ALMA) carried out unprecedented high angular resolution continuum and spectral line observations of SDP.81 as part of Science Verification (SV) of its 2014 Long Baseline Campaign. Details of the campaign, whose aim was to demonstrate the scientific capability of ALMA to observe on baselines of 10 km or more, are described in an accompanying paper (ALMA Partnership et al. 2015, hereafter AL15). In this paper, we present the multi-wavelength SDP.81 ALMA

Observations of SDP.81 in continuum, CO lines and an H2 O line were carried out in 2014 October as part of the 2014 ALMA Long Baseline Campaign using ALMA's most extended configuration to date. These data are publicly available from the ALMA Science Portal18 . The ALMA array consisted of 23 nominal long baseline antennas in a preliminary configuration, plus a number of other antennas at shorter baselines (see AL15). During the periods of observation, between 2236 antennas were in the array (with the number of available antennas varying with observing band) and baseline lengths ranged from 15 m to 15 km. Only 10% of the baselines were shorter than 200 m. Observations were carried out in Band 4 (2 mm), Band 6 (1.3 mm) and Band 7 (1.0 mm). Initial test observations in Band 3 (3 mm) proved unfruitful, primarily due to the faintness of the continuum in this band due to the steep falloff of the thermal dust spectrum. For each of Bands 4, 6, and 7, the total available 7.5 GHz bandwidth was divided into four spectral windows (spws): three 15.6 MHz channel width spws for the 2.0, 1.3, and 1.0 mm continuum, respectively, and one spw for the targeted spectral line. For Band 4, a 0.976 MHz channel width spw was centered on the redshifted CO J =5-4 line (vrest = 576.267 GHz); for Band 6, a 0.976 MHz or 1.95 MHz channel width spw (online spectral averaging was applied for some executions) was centered on the redshifted low-excitation water line H2 O (202 - 111 ) (vrest = 987.927 GHz (Eup = 101 K)); for Band 7, a 1.95 MHz channel width spw covered the redshifted CO J =10-9 line (vrest = 1151.985 GHz). In Band 6, one of the spectral windows included the CO J =8-7 line (vrest = 921.799 GHz). Observed frequencies are given in Tables 1 and 3. Other details of the observations, tunings and correlator setup are given in AL15 and Appendix A. U v-coverage was critically important for imaging this target, due to both its complex morphology and its location near the celestial equator that resulted in non-optimal horizontal uv-tracks19. A relatively large amount of total observing time (9-12 hours per band, or 9-12 executions of the scheduling block) was therefore necessary to achieve the good hour angle coverage needed for good image quality. The total on-source integration times were 5.9, 4.4 and 5.6 hours in Bands 4, 6, and 7, respectively. The data were reduced using the Common Astronomy Software Application package (CASA20 ; McMullin et al. 2007). The procedure is described in the scripts available on the ALMA Science Portal21 . Imaging was carried out using a robust=1 weighting of the visibilities. Given the preliminary antenna configuration, there was a lack of uv-coverage for 200-500 m baselines, and thus the use of robust weighting (robust=1) was critical for achieving acceptable image quality (see Appendix A and AL15 for further details). None of the
18 19 20 21

http://www.almascience.org http://casaguides.nrao.edu/index.php?title=ALMA2014_LBC_SVDATA http://casa.nrao.edu http://www.almascience.org


ALMA Long Baseline Observations of SDP.81 at z=3.042

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0 9 .0 D e c lin a t io n ( J 2 0 0 0 ) 0 8 .0 0 7 .0 0 6 .0 0 5 .0 + 0 :3 9 :0 4 .0

2.0 mm

1.3 m m

1.0 mm

1 1 .6 8 1 1 .6 0 1 1 .5 2 9 :0 3 :1 1 .4 4 R ig h t A s c e n s io n ( J2 0 0 0 )

F I G . 1 . -- High resolution ALMA images of SDP.81: 2.0 mm (Band 4), 1.3 mm (Band 6) and 1.0 mm (Band 7) continuum. The smallest synthesized beam is 31â23 mas, for the Band 7 data. See Table 1 for other beam sizes. In addition to the gravitational arc structures, weak unresolved emission is also detected at a position that is coincident with the center of the foreground lensing galaxy.

data were self-calibrated, since our attempts to perform selfcalibration showed that there was insufficient signal-to-noise on the longest baseline antennas. The resulting synthesized beam sizes range from 23­60 mas. For the spectral lines, it was necessary to taper the CO line uv data to 1000 k in order to achieve good detections, resulting in coarser angular resolutions of 170 mas. For the H2 O data, it was necessary to taper the uv data further, to 200 k (0.9 resolution). The CO data were binned spectrally into channels 21 km s-1 wide. For the narrower H2 O line, we binned the data into 10.5 km s-1 channels. All the spectral line data were continuum subtracted and were imaged using rest frequencies corresponding to z=3.042. The resulting synthesized beam sizes and rms noise levels for the continuum and spectral line images are given in Tables 1 and 3, respectively.
3. RESULTS

within apertures that matched the spatial extent of the continuum emission in each band using the tapered images. The tapered Band 6, Band 7 and combined Band 6&7 continuum images also show a suggestion of low S/N features that appear to trace out a more complete ring in addition to the two main arcs; due to the low significance of these features we did not include them in our flux measurement apertures. Peak fluxes were measured from the high resolution images. The ALMA 2.0 mm (236 GHz) continuum flux density is in agreement with the PdBI 244 GHz value (27±1.2 mJy; OM13) within the uncertainties. The 1.0, 1.14, 1.3 and 2.0 mm flux densities are consistent with the SED of the background source presented by NE14. 3.1.1. Detection of continuum emission at the central position of
the foreground lens

3.1. Dust continuum emission In Figure 1 we present the high resolution continuum images at 151, 236 and 290 GHz. The highest angular resolution achieved, 23 mas, is an impressive increase of a factor of 20­80 in angular resolution compared to previous SMA and PdBI observations of this source and corresponds to an unmagnified spatial scale of 180 pc at z=3.042 (or of the order of a few tens of parsecs in the source plane). Continuum images tapered to a similar resolution as the spectral line images (170 mas) are presented in Figure 2. Two main gravitational arc components of an Einstein ring are observed in all images: a larger eastern arc (E) that contains the highest peak intensity, and a smaller western arc (W). Several distinct surface brightness peaks are observed in each arc. The morphology is consistent with previous observations at similar wavelengths with the PdBI and SMA (OM13, NE10). The locations of the arc components in the highest resolution (236 and 290 GHz) images lie on a ring of 1.55 radius that is consistent with values for the Einstein radius E =1.52 ­1.62 derived by NE10, BU13 and Dye et al. (2014) from SMA 880 µm or HST data. Measured ALMA flux densities, both spatially integrated over all the arc components and for the major arc components (E and W) separately, are given in Table 1. These were computed

In all three bands, we have detected continuum emission located at the central position of the foreground lens (SDSS J090311.57+003906.5). This is visible in all the images in Figure 1 and the 2 mm continuum tapered image in Figure 2. From the 236 GHz image, the centroid of the emission peak is at 09h 03m 11s .57 +00 39 06 .53 (J2000). The angular distance from this position to the eastern arc is 1.52±0.02, which is consistent with the E values determined by previous authors. The emission is unresolved, even at 290 GHz, where the beam size is only 31â23 mas. At the redshift of the lens (z=0.299; NE10), 23 mas corresponds to a spatial scale of 100 pc. The detection of this central emission suggests two main possibilities: a previously undetected AGN in the lens or an additional image of the background source that is predicted to arise close to the center of the lensing galaxy (e.g. Hezaveh et al. 2015, and references therein). The ALMA continuum flux values at this positon differ by orders of magnitude from the SED predictions of both the lens and source in NE14, and we also note that we do not detect the central source in the CO or H2 O line data. Although the elliptical galaxy is massive (NE10 find a mass within the Einstein radius of log(ME )=11.56 M ), we find no evidence in the literature of any AGN activity. However, the spectral index we derive from the ALMA 151, 236 and 290 GHz flux densities in Table 2 and the 1.4 GHz FIRST flux density (0.61 mJy) is -0.49±0.13, which implies that the majority of the emission we have detected originates from the core of the foreground


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C O J = 5- 4

C O J = 8- 7

CO J=10-9

0 9 .0 D e c lin a t io n ( J 2 0 0 0 ) 0 8 .0 0 7 .0 0 6 .0 0 5 .0 + 0 :3 9 :0 4 .0 3 .5 3 .0 S p e c tr a l In d e x 2 .5 2 .0 1 .5

2.0 m m

1.3 m m

1.0 mm

B6&7 spectral index

1.14 m m ( B 6& 7)

H2O

1 1 .6 8 1 1 .6 0 1 1 .5 2 9 :0 3 :1 1 .4 4 R ig h t A s c e n s io n ( J2 0 0 0 )
F I G . 2 . -- ALMA images with uv-tapering to 1000 k (CO lines and continuum) or 200 k (H2 O line). Top: CO J =5-4, 8-7 and 10-9 velocity integrated intensity. Middle: 2.0 mm, 1.3 mm, and 1.0 mm continuum. Bottom: Band 6&7 spectral index, 1.14mm continuum (combined Band 6 & 7 data; see Appendix A), and H2 O velocity integrated intensity. Beam sizes are 170 mas, except for H2 O which has a larger 0.9 beam (see Table 3 for spectral line details).

elliptical galaxy. 3.1.2. Spectral index The combined Band 6 and Band 7 spectral index image, obtained from data tapered to 1000 k (see Section 2), is shown in Figure 2. Pixels <4 have been masked. The mean spectral index in the unmasked regions is 2.34±0.61, with the mean value measured in the W and E arcs comparable within the uncertainties (2.45±0.72 compared to 2.30±0.57). The range of values is consistent with dust spectral indices from 1.4-4. We note, however, that from the flux densities given in Table 1, which represent the total emission region as opposed to the higher S/N regions defined by the spectral index image, the average spectral index is 1.8±0.2.

3.2. CO J =10-9, J =8-7 and J =5-4 line emission 3.2.1. Properties of the CO images CO J =10-9, J =8-7 and J =5-4 velocity integrated intensity images are presented in Figure 2. The CO morphology is broadly consistent with the overall two-arc morphology seen in continuum, with a larger and higher surface brightness E arc and a smaller and generally lower surface brightness W arc. The symmetric distribution of the continuum peaks, however, is not matched in CO, with the CO emission appearing more clumpy throughout the arc structures. The CO emission also appears to trace a somewhat more extended and less welldefined ring than the continuum at the same angular resolution. For CO J =5-4, the peak integrated intensities are com-


ALMA Long Baseline Observations of SDP.81 at z=3.042
TA B L E 1 ALMA Band 4 6 7 6&7 Frequency (GHz) 151 (2.0 mm) 236 (1.3 mm) 290 (1.0 mm) 262 (1.14 mm) Component Total E W Total E W Total E W Total E W
C O N T I N U U M PA R A M E T E R S F O R

5

S D P. 8 1 S [mJy] 3.5±0.1 2.8±0.1 0.7±0.1 26.3±1.3 19.3±1.3 7.0±0.4 37.7±1.5 27.7±1.0 10.0±0.2 32.9±1.0 23.5±0.5 7.0 ±0.2 rms [µ Jy] 11 21 21 15 t a per [mas (deg)] 134â118 (61) 164â114 (47) 170â106 (43) 163â110 (44)

S pk [µJy beam-1 ] ... 520± 8 353±8 ... 141±10 112±10 ... 124±9 112±9 ... 806±15 627±15

rms [µ Jy] 8 10 9 ... ... ...

b [mas (deg)] 56â50 (18) 39â30 (20) 31â23 (16) ... ... ...

N OTE. -- Column (3) Spatial components: eastern arc (E), western arc (W) and the total over all the emission. (4) Peak flux density in the specified arc component. Values were measured in the high resolution images whose beam sizes, b , are listed in column (6), except for the combined Band 6&7 data for which we used the uv-tapered image (see Section 2). Uncertainties are 1 where is the RMS noise level in the high resolution images, given in (5). For Band 6&7 the 1 uncertainty is the RMS noise value given in (8). (7) The integrated flux density over the E and W arcs separately, and the total emission over all the arc components (see Section 3.1). Values are measured in the tapered images, whose beam sizes, t a per , are given in column (9). Uncertainties were calculated from the larger of either the rms variation of the flux density in apertures placed at source-free locations in the images or [no. independent beams]0.5 â3 where is the RMS noise level given in (8). Values do not include 5% absolute flux calibration uncertainty. (8) RMS noise level in the uv-tapered images. Synthesized beam sizes of the high resolution and tapered images, and the beam position angle, are given in (6) and (9), respectively.

TA B L E 2 ALMA
FL U X D E N S I T I E S AT T H E P O S I T I O N O F T H E F O R E G RO U N D L E N S

Frequency S pk (GHz) (µJy beam-1 ) 4 151 (2.0 mm) 60±8 6 236 (1.3 mm) 50±10 7 290 (1.0 mm) 43±9 N OT E. -- Frequency is the observed frequency. Peak fluxes were measured in the high resolution images whose beam sizes are given in Table 1. Uncertainties are 1 where is the rms noise level given in Table 1 and do not include 5% absolute flux calibration uncertainty.

Band

parable in both arcs and the morphology bears more similarity to the continuum. The peak CO J =10-9 and CO J =8-7 intensities, however, are respectively observed in the E and W arcs, and the CO J =10-9 emission exhibits a different spatial morphology altogether, with several compact regions of emission along the arc structures. This may be due to differences in the spatial origin of the higher-J CO emission, or simply due to the lower S/N in the CO J =10-9 data. Notably, the spatial locations of peak intensity are not coincident between the CO transitions. Fitted spectral profiles, spatially integrated over the two arc components, are given in Figure 3. The spectra were produced by spatially integrating the CO emission over a polygon region encompassing the E and W arcs as defined on CO integrated intensity images produced from all pixels with a S/N>3 in the channels containing emission. All parameters were derived from images that had first been smoothed to the same resolution (0.2). The CO parameters derived from Gaussian fits are given in Table 3. For comparison, integrated intensity values for the E and W components are also given, and were measured directly on the integrated intensity images. For all measurements we do not include any low level emission outside the main arc components (see Section 3.1). The ALMA CO J =5-4 integrated intensity measured over both the arc components, peak intensity and spectral shape are consistent with the PdBI CO J =5-4

F I G . 3 . -- ALMA CO J =5-4, CO J =8-7, CO J =10-9 and H2 O (202 - 111 ) spectra for SDP.81. Spectra were spatially integrated over regions containing the E and W arc components (except for H2 O, for which we only included E; see Section 3.1) in the uv-tapered images and the resulting spectra fitted with Gaussians. The two, redshifted and blue-shifted, components found for the CO transitions are marked with `R' and `B', respectively.

results presented by OM13 (the PdBI integrated intensity is 7.0±0.4 Jy km s-1 ). The three CO transitions have asymmetrical line profiles (Figure 3), with a red-shifted component (R) that is stronger than the blue-shifted component (B), which is again consistent with OM13. The B component is relatively brighter than R in the higher-J CO lines, suggesting that the B emission originates from hotter gas than the R component. The line widths are in good agreement with the CO J =1-0 and CO J =5-4 values found by Frayer et al. (2011) and OM13, and are within the range found for other typical SMGs (e.g. Greve et al. 2005).


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TA B L E 3 ALMA CO
AND

H2 O

L I N E PA R A M E T E R S F O R

SD P. 8 1

t a per Il pk Il Vl V µLl µLl /1010 (mJy beam-1 ) (Jy km s-1 ) (km s-1 ) (km s-1 ) (108 L ) (K km s-1 pc2 ) [mas (deg)] 4 CO J =5-4 Total (fit) ... 9.2±1.2 ... ... 9.6±0.3 15.6±0.5 155â121 (57) R 26.5±0.2 6.5±0.3 231±6 72±5 6.8±0.3 11.0±0.5 ... B 9.0±0.2 2.7±0.3 282±40 -174±19 2.8±0.3 4.6±0.5 ... E ... 7.2±0.2 ... ... ... ... ... W ... 1.2±0.2 ... ... ... ... ... 6 CO J =8-7 228.055 Total (fit) ... 9.3±0.4 ... ... 15.5±0.7 6.2±0.3 169 â 117 (47) R 28.0±0.2 6.6±0.4 221±11 77±6 11.0±0.7 4.4±0.3 ... B 10.2±0.2 2.7±0.4 249±44 -204±15 4.5±0.7 1.8±0.3 ... E ... 7.2±0.4 ... ... ... ... ... W ... 2.0±0.1 ... ... ... ... ... H2 O (202 - 111 ) 244.415 Total (fit) 9.4±0.9 2.0±0.1 196±15 76±7 3.6±0.2 1.2±0.1 852â721 (45) E ... 1.6±0.1 ... ... ... ... ... W ... 0.15±0.06 ... ... ... ... ... 285.004 Total (fit) ... 3.2±0.2 ... ... 6.7±0.1 1.4±0.1 172â112 (42) 7 CO J =10-9 R 10.1±0.3 1.8±0.2 170±18 75±8 3.7±0.1 0.8±0.1 ... B 6.7±0.3 1.3±0.2 188±30 -204±12 2.7±0.1 0.6±0.1 ... E ... 1.2±0.1 ... ... ... ... ... W ... 0.4±0.1 ... ... ... ... ... N OT E. -- Parameters and errors for the CO and H2 O lines are derived from Gaussian fits (Figure 3) for the two spectral components R and B (Section 3.2). All values are derived from the uv-tapered images, whose beam sizes and position angles are listed in the final column. obs is the observed frequency at z=3.042, which corresponds to zero velocity offset. Il is the velocity-integrated intensity of the CO or H2 O line and Vl is the line width (FWHM). Luminosities, Ll , are calculated following Solomon et al. (1992). µ is the magnification factor (Section 1). Values of the integrated intensity for the two main spatial components (E and W arcs; Section 3.1) are also given, measured directly on the integrated intensity images (Section 3.2.1). Uncertainties on Il pk are 1, where is the rms noise level per channel. Rms noise levels for CO J =5-4, CO J =8-7 and CO J =10-9 are 0.20, 0.15 and 0.25 mJy per 21 km s-1 channel, respectively. For H2 O, the rms noise level is 0.9 mJy per 10.5 km s-1 channel. Error values do not include 5% absolute flux calibration uncertainty.

Band

Line

obs (GHz) 142.570

Component

3.2.2. Velocity structure In Figure 4, we show the CO J =8-7 channel maps corresponding to the R component seen in Figure 3, in which a north-south velocity gradient is observed for the E arc. We do not show channel maps for the B component since organized velocity structures are not clearly discernible in B. Similar properties are seen for the CO J =5-4 emission. This velocity structure of R is also demonstrated by CO J =8-7 integrated intensity and velocity field images produced separately for the R and B components (Figure 5). Here, in addition to the N-S velocity gradient seen for R, it is also clear that the R and B image components have different spatial locations in the image plane. Spatially, the E arc corresponds predominantly to the R spectral component, with only a small part of the E arc that is blue-shifted. The emission in the W arc, conversely, has a symmetrical profile with roughly equal contributions from the B and R components. A velocity gradient is apparent for the W arc that encompasses both the B and R components, which can be seen in the velocity field image in Figure 4. The presence of two distinct spectral components, and the observed velocity structure in Figures 4 and 5, is suggestive of complexity in the source structure, which has been previously suggested from lens modelling analysis (e.g. BU13). 3.2.3. CO line ratios From the CO line luminosities given in Table 3, we find CO line brightness temperature ratios of r85 =0.5±0.1, r108 =0.2±0.1 and r105 =0.1±0.1. Taking the CO J =1-0 value of 1.1 Jy km s-1 from Frayer et al. (2011) we also find a ratio r51 =0.3±0.1. This is consistent with the value r31 =0.5 reported by Frayer et al. (2011). Lupu et al. (2012) detected high-J CO lines in SDP.81 but some were blended with other lines so we do not include them here. The values of the line ratios suggest the presence of a low-excitation gas component, which is consistent with results found for other SMGs

(e.g. Carilli et al. 2010; Danielson 2011; Hodge et al. 2013; Bothwell et al. 2013) and the suggestion that most SMGs contain a significant proportion of cool, moderate-density, extended gas (e.g. Ivison et al. 2011). Taking the total IR luminosity µLI R =5.4â1013 L (uncorrected for magnification) from NE14, the ratio LI R /LCO is 346±62 L (K km s-1 pc2 )-1 for CO J =5-4, which is towards the upper end of the range for local ULIRGS (Solomon et al. 1997) and in good agreement with the value found for typical SMGs (e.g. Greve et al. 2005, (360±140 L (K km s-1 pc2 )-1 )). 3.3. Water emission The H2 O (202 - 111 ) image is shown in Figure 2. Emission is clearly detected in the E arc and exhibits a morphology that appears consistent with those seen in continuum and CO. Despite the tapering required to achieve a good detection, this is the highest resolution detection of thermal H2 O emission in this source to date. For the W arc, there is a suggestion of possible emission, with integrated and peak intensities that are 2 in the integrated intensity image. The velocity range associated with this feature (200 km s-1 ) is consistent with the B component. Due to the low significance of the W arc detection we do not include it in our spectrally fitted measurement. The ALMA integrated intensity and spectral profile are in good agreement with the PdBI value (1.8±0.5 Jy km s-1 ). The spectrum (Figure 3) shows that the H2 O emission originates from the R component. The central velocity of the H2 O line profile agrees with all the CO line profiles within the uncertainties of the fits.

3.3.1. H2 O line ratios The H2 O/high-J CO line ratio is widely considered a useful diagnostic of PDR versus XDR conditions (e.g. Gonzalez-Alfonso et al. 2010). We find an H2 O/CO J =8-7


ALMA Long Baseline Observations of SDP.81 at z=3.042

7

-13 km/s

8 km/s

29 km/s

50 km/s

71 km/s

92 km/s

113 km/s

134 km/s

155 km/s

09.0 Declination (J2000) 08.0 07.0 06.0

176 km/s

197 km/s

mom 1

240 160 80 0 - 80 Velocity (km/s)

+0:39:05.0 11.68 11.60 11.529:03:11.44 Right Ascension (J2000)

-160 -240

F I G . 4 . -- Channel maps for the CO J =8-7 emission, showing the red-shifted component, R. The R component was defined from -55 to 239 km s-1 based on the spectral profiles in Figure 3. Note that for clarity of the figure we do not plot the three outermost channel ranges. As a guide, contours of the combined Band 6&7 continuum emission are shown in one panel, at 0.2 and 0.4 mJy beam-1 (15 and 30). Last panel: CO J =8-7 velocity field, for both B and R components.

line ratio, IH2 O /ICO of 0.2±0.1. This is relatively low compared to results in the literature for other active galaxies. Omont et al. (2011) find a value of 0.5±0.2 for SDP.17b, while values of 0.4±0.2 and 0.75±0.23 have been found for the Cloverleaf and Mrk231 (Bradford et al. 2009; Gonzalez-Alfonso et al. 2010). Taking a value of LI R as in Section 3.2.3, we find an LH 2O /LI R ratio of 6.7â10-6, which is similar to the value found for Arp 220 (OM13 and references therein). Both the intrinsic values of LH 2O and LI R are at the lower end of the range for other high-z sources in the sample of OM13.
4. DISCUSSION

The results presented here on SDP.81 provide a first view of the wealth of information contained in these ALMA data. Providing a leap in angular resolution compared to previous

observations, these data demonstrate the power of ALMA to image gravitationally lensed systems with high resolution and high fidelity. With the continuum images, we have presented strong detections of thermal dust emission from the z=3.042 background source at unprecedented angular resolutions, with beam sizes as small as 23 mas corresponding to spatial scales in the source on the order of an impressive few tens of parsecs. At this high angular resolution we clearly detect the two main arc structures of the Einstein ring, but using only the shorter baselines we find evidence of low-level emission that traces a more complete ring. We have also detected weak (5 ) continuum emission that is spatially coincident with the center of the foreground lens, and find a 1.4­290 GHz spectral index of -0.5 that implies we have detected emission from an AGN in the foreground


8

ALMA Partnership et al.

CO(8-7) Blue

C O ( 8- 7) R e d

0 9 .0 0 8 .0 D e c lin a t io n ( J2 0 0 0 ) 0 7 .0 0 6 .0

240 160 Velocity (km/s) 80 0 -80

+ 0 :3 9 :0 5 .0 1 1 .6 8 1 1 .6 0 1 1 .5 2 9 :0 3 :1 1 .4 4 R ig h t A s c e n s io n ( J2 0 0 0 )

-160 -240

F I G . 5 . -- CO J =8-7 integrated intensity (top) and velocity field (bottom) images for the B and R components. The B and R components were defined from -307 to -76 km s-1 and -55 to 239 km s-1 , respectively, based on their spectral profiles (Figure 3).

elliptical galaxy that must have a very low accretion rate. Our detection of H2 O (202 - 111 ) in SDP.81, at 0.9 resolution, is the highest resolution detection to date of thermal water emission in an extragalactic source. H2 O emission from the W component is tentatively detected for the first time, with a contribution to the total H2 O emission of only a few per cent. We have also presented detections of three transitions of CO, J =5-4, J =8-7, and J =10-9, at 170 mas resolution, and shown that while they spectrally have similar red- and blueshifted components, their spatial morphologies are rather different. The properties of the CO and H2 O line data indicate that SDP.81 may be a complex source, as was suggested by previous authors (e.g. BU13, Dye et al. 2014). The overall similarity in the spatial and spectral distributions of the CO and H2 O lines suggests that both species may have a common origin, although the sub-thermal (1) CO line ratios and strong detections of high-J CO lines could suggest the presence of an extended cool and moderate-density gas component (e.g. Harris et al. 2010). Our CO line measurements suggest that the higher-J CO lines are less luminous, which may indicate that any AGN present would be subdominant, and thus that a complex mixture of PDRs and XDRs would be required to adequately describe the excitation in SDP.81. The H2 O/CO(8-7) ratio is lower in SDP.81 than for other high-z sources in the literature (e.g. Omont et al. 2011, OM13), which suggests that either we are missing significant extended H2 O emission or that the H2 O and CO excitation is relatively low. The former does not seem likely, given the similarity between the ALMA and PdBI results. It is possible that

differential lensing (e.g. Blain 1999; Serjeant 2012) is playing a role in the relatively weak H2 O emission in the W component. Without detailed modeling, any effect from differential magnification cannot be quantified, and in a highly magnified system such as SDP.81, differential lensing could potentially lead to, for example, changes in the spectral indices, the CO ladder or line ratios. Future studies will be able to quantify this effect in SDP.81 through detailed foreground mass modelling (Serjeant 2012; Bourne et al. 2014), and the combination of this high angular resolution ALMA data with near-IR data will provide constraints on the differential lensing between the stellar and dust emission (e.g. Calanog et al. 2014). Detailed lens modelling is beyond the scope of this work, but will be crucial for understanding the full nature of these ALMA observations. This paper makes use of the following ALMA data: ADS/JAO.ALMA#2011.0.00016.SV. ALMA is a partnership of ESO (representing its member states), NSF (USA) and NINS (Japan), together with NRC (Canada), NSC and ASIAA (Taiwan), and KASI (Republic of Korea), in cooperation with the Republic of Chile. The Joint ALMA Observatory is operated by ESO, AUI/NRAO and NAOJ. The National Radio Astronomy Observatory is a facility of the National Science Foundation operated under cooperative agreement by Associated Universities, Inc. This research made use of Astropy, a community-developed core Python package for Astronomy (Astropy Collaboration et al. 2013). We thank Alastair Edge for helpful comments. Facilities: ALMA.


ALMA Long Baseline Observations of SDP.81 at z=3.042 APPENDIX DATA R E D U C T I O N D E TA I L S

9

The phase center was 09 03 11 .61 +00 39 06 .7 (J2000). Precipitable water vapor (PWV) values at zenith varied in the ranges 0.6-3.2, 0.5-3.1 and 0.3-0.7 mm for Bands 4, 6, and 7, respectively, which is better than average weather conditions for the given Band. The Band 6 and Band 7 data were corrected with the most accurate antenna pad positions that were measured by the end of the campaign (see AL15). The phase calibrator, J0909+0121, was 1.65 away from the target and was typically observed every 78 s for all three bands. Bandpass and flux calibration were performed using observations of the quasars J0825+0309 and J0854+2006 (or in a few cases J0750+1231 or J1058+0133), respectively, in each execution of the scheduling block (SB). For each dataset, between one and four antennas were flagged during the calibration process. Continuum images were integrated over a bandwidth of 7 GHz and produced using multi-frequency synthesis, a robust=1 weighting of the visibilities, and nterms=1. The use of robust weighting (robust=1) was found to be critical for achieving acceptable image quality given the lack of uv-coverage for 200-500 m baselines due to the preliminary antenna configuration (since a limited number of antenna relocations were possible during the period of the campaign; AL15). The total number of antennas in the array depended on observing band, with fewest antennas in Band 4, due to fewer available Band 4 receivers on antennas on the shortest baselines. Multi-scale imaging (Cornwell 2008) was used, with scales of 0, 5 and 15 for both the continuum and spectral line imaging (0, 5, 15 and 45 in Band 4). As the source lies sufficiently close to the phase center, the images have not been corrected for the effect of primary beam attenuation. This effect will be <5% in all bands, and thus smaller than the overall flux calibration uncertainty. We experimented with imaging the combined Band 6 and Band 7 uv data with CLEAN mode nt erms=2, which attempts to account for the spectral index of emission across the observed frequency band (Rau & Cornwell 2011). The SNR of the fullresolution uv data was found to be too low for the algorithm to determine the spectral index, except around the strong peaks of emission, which resulted in a flux scale in the combined image that was not reliable. We were, however, able to make a combined (1.14 mm) image using Band 6&7 continuum images that were uv-tapered to match the resolution of the spectral line data, which yielded a robust spectral index image at 170 mas resolution.
h m s

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