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# Mass inventory of the giant-planet formation zone in a solar nebula analogue

## Abstract

The initial mass distribution in the solar nebula is a critical input to planet formation models that seek to reproduce today’s Solar System1. Traditionally, constraints on the gas mass distribution are derived from observations of the dust emission from disks2,3, but this approach suffers from large uncertainties in dust opacity and gas-to-dust ratio2. On the other hand, previous observations of gas tracers only probe surface layers above the bulk mass reservoir4. Here we present the first partially spatially resolved observations of the 13C18O J = 3–2 line emission in the closest protoplanetary disk, TW Hydrae, a gas tracer that probes the bulk mass distribution. Combining it with the C18O J = 3–2 emission and the previously detected HD J = 1–0 flux, we directly constrain the mid-plane temperature and optical depths of gas and dust emission. We report a gas mass distribution with radius, R, of ${13}_{-5}^{+8}×{\left(R/\mathrm{20}.5\text{au}\right)}^{-{0.9}_{-0.3}^{+0.4}}$ g cm−2 in the expected formation zone of gas and ice giants (5–21 au). We find that the mass ratio of total gas to millimetre-sized dust is 140 in this region, suggesting that at least 2.4M of dust aggregates have grown to centimetre sizes (and perhaps much larger). The radial distribution of gas mass is consistent with a self-similar viscous disk profile but much flatter than the posterior extrapolation of mass distribution in our own and extrasolar planetary systems.

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## Acknowledgements

This paper makes use of the following ALMA data: ADS/JAO.ALMA#2015.1.00308.S. ALMA is a partnership of the European Southern Observatory (ESO, representing its member states), National Science Foundation (NSF, United States) and National Institutes of Natural Sciences (Japan), together with the National Research Council (Canada), the National Science Council and Academia Sinica Institute of Astronomy and Astrophysics (Taiwan), and the Korea Astronomy and Space Science Institute (Republic of Korea), in cooperation with the Republic of Chile. The Joint ALMA Observatory is operated by ESO, Associated Universities Inc./National Radio Astronomy Observatory, and the National Astronomical Observatory of Japan. We thank T. Tsukagoshi for sharing radial brightness temperature profiles of ALMA 145 and 233-GHz continuum observations of the TW Hya disk. This work was supported by funding from NSF grant AST-1514670 and NASA NNX16AB48G. L.I.C. acknowledges the support of NASA through Hubble Fellowship grant HST-HF2-51356.001.

## Author information

Authors

### Contributions

K.Z. led the data processing, analysis and manuscript preparation. E.A.B. led the preparation of the observing proposal, and K.R.S. assisted with the parameterized modelling. All authors were participants in elaborating the observing proposal, discussion of results, determination of the conclusions and revision of the manuscript.

### Corresponding author

Correspondence to Ke Zhang.

## Ethics declarations

### Competing interests

The authors declare no competing financial interests.

## Supplementary information

### Supplementary Information

Supplementary Table 1, Supplementary Figures 1–8, Supplementary References (PDF 1112 kb)

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Zhang, K., Bergin, E., Blake, G. et al. Mass inventory of the giant-planet formation zone in a solar nebula analogue. Nat Astron 1, 0130 (2017). https://doi.org/10.1038/s41550-017-0130

• Accepted:

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• DOI: https://doi.org/10.1038/s41550-017-0130

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