BREEDING SUPER-EARTHS AND BIRTHING SUPER-PUFFS IN TRANSITIONAL DISKS
Open accessAbstract
ABSTRACT The riddle posed by super-Earths (1–4R ⊕, 2–20M ⊕) is that they are not Jupiters: their core masses are large enough to trigger runaway gas accretion, yet somehow super-Earths accreted atmospheres that weigh only a few percent of their total mass. We show that this puzzle is solved if super-Earths formed late, as the last vestiges of their parent gas disks were about to clear. This scenario would seem to present fine-tuning problems, but we show that there are none. Ambient gas densities can span many (in one case up to 9) orders of magnitude, and super-Earths can still robustly emerge after ∼0.1–1 Myr with percent-by-weight atmospheres. Super-Earth cores are naturally bred in gas-poor environments where gas dynamical friction has weakened sufficiently to allow constituent protocores to gravitationally stir one another and merge. So little gas is present at the time of core assembly that cores hardly migrate by disk torques: formation of super-Earths can be in situ. The basic picture—that close-in super-Earths form in a gas-poor (but not gas-empty) inner disk, fed continuously by gas that bleeds inward from a more massive outer disk—recalls the largely evacuated but still accreting inner cavities of transitional protoplanetary disks. We also address the inverse problem presented by super-puffs: an uncommon class of short-period planets seemingly too voluminous for their small masses (4–10R ⊕, 2–6M ⊕). Super-puffs most easily acquire their thick atmospheres as dust-free, rapidly cooling worlds outside ∼1 AU where nebular gas is colder, less dense, and therefore less opaque. Unlike super-Earths, which can form in situ, super-puffs probably migrated in to their current orbits; they are expected to form the outer links of mean-motion resonant chains, and to exhibit greater water content. We close by confronting observations and itemizing remaining questions.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Increasing ∆ beyond 7 requires mergers of multiple cores via giant impacts, but damping from the gas disk prevents orbits from crossing until after the gas disk dissipates.
“Finally, increasing ∆ beyond 7 requires mergers of multiple cores via giant impacts. However, damping from the gas disk prevents orbits from crossing until after the gas disk dissipates.”
From Origins of Hot Jupiters (2018) · cites this paper as Lee & Chiang 2016
Section 3.2 says protocores merge as gas damping weakens, and discusses orbital spacings of 7 and 11 mutual Hill radii; it does not establish a strict threshold at Δ = 7. More importantly, the Summary and Outlook says crossing orbits and mergers can occur in a gas-poor disk just before it disappears completely, contrary to the claim that they must wait until after disk dissipation. Page numbers are unavailable in our copy. (LLM, conf=0.86)
Checked by a reasoning model — may be wrong.
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
UNDERSTANDING THE MASS-RADIUS RELATION FOR SUB-NEPTUNES: RADIUS AS A PROXY FOR COMPOSITION
Lopez, E. D., & Fortney, J. J. (2014) · The Astrophysical Journal · doi:10.1088/0004-637x/792/1/1 · Cited by 722 · see citing works
One or more bound planets per Milky Way star from microlensing observations
Cassan, A., Kubas, D., Beaulieu, J.-P., Dominik, M., Horne, K., Greenhill, J., Wambsganss, J., Menzies, J., Williams, A., Jørgensen, U. G., et al. (2012) · Nature · doi:10.1038/nature10684 · Cited by 584 · see citing works
Flagged first, then by citations
Research works printed but not linked: 90
- Agnor, C. B., & Ward, W. R. 2002, ApJ, 567, 579 · DOI
- Alexander, R., Pascucci, I., Andrews, S., Armitage, P., & Cieza, L. 2014, in Protoplanets and Protostars VI, ed. H. Beuther et al. (Tuscon, AZ: Univ. Arizona Press), 475
- Andrews, S. M., Rosenfeld, K. A., Kraus, A. L., & Wilner, D. J. 2013, ApJ, 771, 129 · DOI
- Batalha, N. M., Rowe, J. F., Bryson, S. T., et al. 2013, ApJS, 204, 24 · DOI · Paper page
- Biddle, L. I., Pearson, K. A., Crossfield, I. J. M., et al. 2014, MNRAS, 443, 1810 · DOI
- Blum, J., & Wurm, G. 2000, Icar, 143, 138 · DOI
- Bonfils, X., Delfosse, X., Udry, S., et al. 2013, A&A, 549, A109 · DOI · Paper page
- Burke, C. J., Christiansen, J. L., Mullally, F., et al. 2015, ApJ, 809, 8 · DOI
- Casassus, S., Marino, S., Perez, S., et al. 2015, ApJ, 811, 92 · DOI
- Chambers, J. E., Wetherill, G. W., & Boss, A. P. 1996, Icar, 119, 261 · DOI
- Chiang, E., & Laughlin, G. 2013, MNRAS, 431, 3444 · DOI
- Chiang, E., & Murray-Clay, R. 2007, NatPh, 3, 604 · DOI
- Clanton, C., & Gaudi, B. S. 2014, ApJ, 791, 91 · DOI
- Clanton, C., & Gaudi, B. S. 2015, arXiv:1508.04434 · arXiv
- Clarke, C. J., Gendrin, A., & Sotomayor, M. 2001, MNRAS, 328, 485 · DOI
- Crossfield, I. J. M., Barman, T., Hansen, B. M. S., & Howard, A. W. 2013, A&A, 559, A33 · DOI
- Cumming, A., Butler, R. P., Marcy, G. W., et al. 2008, PASP, 120, 531 · DOI · Paper page
- D'Alessio, P., Calvet, N., & Hartmann, L. 2001, ApJ, 553, 321 · DOI
- D'Angelo, G., & Bodenheimer, P. 2013, ApJ, 778, 77 · DOI
- Dawson, R., Chiang, E., & Lee, E. 2015a, MNRAS, 453, 1471 · DOI
- Dawson, R. I., Lee, E. J., & Chiang, E. 2015b, arXiv:1512.04951 · arXiv
- Dong, S., & Zhu, Z. 2013, ApJ, 778, 53 · DOI
- Drake, J. J., Ercolano, B., Flaccomio, E., & Micela, G. 2009, ApJL, 699, L35 · DOI
- Dressing, C. D., & Charbonneau, D. 2015, ApJ, 807, 45 · DOI
- Duffell, P. C., & Chiang, E. 2015, ApJ, 812, 94 · DOI
- Espaillat, C., Muzerolle, J., Najita, J., et al. 2014, in Protostars and Planets VI, ed. H. Beuther et al. (Tuscon, AZ: Univ. of Arizona Press), 497
- Ferguson, J. W., Alexander, D. R., Allard, F., et al. 2005, ApJ, 623, 585 · DOI · Paper page
- Ford, E. B., & Chiang, E. I. 2007, ApJ, 661, 602 · DOI
- Fraine, J., Deming, D., Benneke, B., et al. 2014, Natur, 513, 526 · DOI
- Fressin, F., Torres, G., Charbonneau, D., et al. 2013, ApJ, 766, 81 · DOI
- Fung, J., Artymowicz, P., & Wu, Y. 2015, arXiv:1505.03152 · arXiv
- Gautier, T. N., III, Charbonneau, D., Rowe, J. F., et al. 2012, ApJ, 749, 15 · DOI
- Goldreich, P., Lithwick, Y., & Sari, R. 2004, ARA&A, 42, 549 · DOI
- Goldreich, P., & Sari, R. 2003, ApJ, 585, 1024 · DOI
- Gould, A., Dong, S., Gaudi, B. S., et al. 2010, ApJ, 720, 1073 · DOI
- Hadden, S., & Lithwick, Y. 2014, ApJ, 787, 80 · DOI
- Hori, Y., & Ikoma, M. 2011, MNRAS, 416, 1419 · DOI
- Howard, A. W., Marcy, G. W., Johnson, J. A., et al. 2010, Sci, 330, 653 · DOI · Paper page
- Ikoma, M., & Hori, Y. 2012, ApJ, 753, 66 · DOI
- Ikoma, M., Nakazawa, K., & Emori, H. 2000, ApJ, 537, 1013 · DOI
- Inamdar, N. K., & Schlichting, H. E. 2015, MNRAS, 448, 1751 · DOI
- Iwasaki, K., Tanaka, H., Nakazawa, K., & Hiroyuki, E. 2001, PASJ, 53, 321 · DOI
- Jontof-Hutter, D., Lissauer, J. J., Rowe, J. F., & Fabrycky, D. C. 2014, ApJ, 785, 15 · DOI
- Jontof-Hutter, D., Rowe, J. F., Lissauer, J. J., Fabrycky, D. C., & Ford, E. B. 2015, Natur, 522, 321 · DOI
- Knutson, H. A., Benneke, B., Deming, D., & Homeier, D. 2014, Natur, 505, 66 · DOI
- Kominami, J., & Ida, S. 2002, Icar, 157, 43 · DOI
- Kornet, K., Wolf, S., & Różyczka, M. 2006, A&A, 458, 661 · DOI
- Kreidberg, L., Bean, J. L., Désert, J.-M., et al. 2014, Natur, 505, 69 · DOI
- Laughlin, G., Bodenheimer, P., & Adams, F. C. 2004, ApJL, 612, L73 · DOI
- Lee, E. J., & Chiang, E. 2015, ApJ, 811, 41 · DOI
- Lee, E. J., Chiang, E., & Ormel, C. W. 2014, ApJ, 797, 95 · DOI
- Line, M., & Parmentier, V. 2015, arXiv:1511.09443 · arXiv
- Lopez, E. D., & Fortney, J. J. 2013, ApJ, 776, 2 · DOI
- Mamajek, E. E. 2009, in AIP Conf. Ser. 1158, Exoplanets and Disks: Their Formation and Diversity, ed. T. Usuda, M. Tamura & M. Ishii (Melville, NY: AIP), 3
- Marcy, G. W., Isaacson, H., Howard, A. W., et al. 2014, ApJS, 210, 20 · DOI
- Masuda, K. 2014, ApJ, 783, 53 · DOI
- Mizuno, H. 1980, PThPh, 64, 544 · DOI
- Mordasini, C., Klahr, H., Alibert, Y., Miller, N., & Henning, T. 2014, A&A, 566, A141 · DOI
- Morley, C. V., Fortney, J. J., Kempton, E. M.-R., et al. 2013, ApJ, 775, 33 · DOI
- Nettelmann, N., Fortney, J. J., Kramm, U., & Redmer, R. 2011, ApJ, 733, 2 · DOI
- Ogihara, M., Ida, S., & Morbidelli, A. 2007, Icar, 188, 522 · DOI
- Ormel, C. W. 2014, ApJL, 789, L18 · DOI
- Ormel, C. W., Shi, J.-M., & Kuiper, R. 2015, MNRAS, 447, 3512 · DOI
- Owen, J. E., Clarke, C. J., & Ercolano, B. 2012, MNRAS, 422, 1880 · DOI
- Owen, J. E., Ercolano, B., & Clarke, C. J. 2011, MNRAS, 412, 13 · DOI
- Owen, J. E., & Wu, Y. 2013, ApJ, 775, 105 · DOI
- Papaloizou, J. C. B., & Larwood, J. D. 2000, MNRAS, 315, 823 · DOI
- Petigura, E. A., Marcy, G. W., & Howard, A. W. 2013, ApJ, 770, 69 · DOI
- Piso, A.-M. A., & Youdin, A. N. 2014, ApJ, 786, 21 · DOI
- Piso, A.-M. A., Youdin, A. N., & Murray-Clay, R. A. 2015, ApJ, 800, 82 · DOI
- Pollack, J. B., Hubickyj, O., Bodenheimer, P., et al. 1996, Icar, 124, 62 · DOI
- Pu, B., & Wu, Y. 2015, ApJ, 807, 44 · DOI
- Rogers, L. A., & Seager, S. 2010a, ApJ, 712, 974 · DOI
- Rogers, L. A., & Seager, S. 2010b, ApJ, 716, 1208 · DOI
- Rosenfeld, K. A., Chiang, E., & Andrews, S. M. 2014, ApJ, 782, 62 · DOI
- Rowe, J. F., Bryson, S. T., Marcy, G. W., et al. 2014, ApJ, 784, 45 · DOI
- Steffen, J. H. 2015, arXiv:1510.04750 · arXiv
- Steffen, J. H., Batalha, N. M., Borucki, W. J., et al. 2010, ApJ, 725, 1226 · DOI
- Steffen, J. H., Fabrycky, D. C., Agol, E., et al. 2013, MNRAS, 428, 1077 · DOI
- Stevenson, D. J. 1982, P&SS, 30, 755 · DOI
- Stevenson, D. J. 1984, in Lunar and Planetary Science Conf., Lunar and Planetary Inst. Technical Report, Vol.15, 822
- Sumi, T., Bennett, D. P., Bond, I. A., et al. 2010, ApJ, 710, 1641 · DOI
- Van Eylen, V., & Albrecht, S. 2015, ApJ, 808, 126 · DOI
- Venturini, J., Alibert, Y., Benz, W., & Ikoma, M. 2015, A&A, 576, A114 · DOI
- Weiss, L. M., & Marcy, G. W. 2014, ApJL, 783, L6 · DOI · Paper page
- Windmark, F., Birnstiel, T., Ormel, C. W., & Dullemond, C. P. 2012, A&A, 544, L16 · DOI
- Wolfgang, A., & Lopez, E. 2015, ApJ, 806, 183 · DOI
- Wolfgang, A., Rogers, L. A., & Ford, E. B. 2015, arXiv:1504.07557 · arXiv
- Wu, Y., & Lithwick, Y. 2013, ApJ, 772, 74 · DOI · Paper page
- Zhou, J.-L., Lin, D. N. C., & Sun, Y.-S. 2007, ApJ, 666, 423 · DOI
Cited by
Sorted by citations
Dawson, R. I., & Johnson, J. A. (2018) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-081817-051853 · Cited by 622 · see citing works
- Authors
- Lee, E. J., & Chiang, E.
- Affiliations
- University of California, Berkeley (US)
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2016-01-22
- Volume
- 817
- Issue
- 2
- Pages
- 90
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W1935903374
- Cited by
- 317
- References
- 2
- Citations by year
- 2026: 17 · 2025: 31 · 2024: 28 · 2023: 33 · 2022: 30 · 2021: 34 · 2020: 41 · 2019: 32 · 2018: 32 · 2017: 26 · 2016: 12 · 2015: 1
- FWCI
- 16.26
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- The Astrophysical Journal (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Funders
- National Science Foundation (0909210, 1411954)
- National Aeronautics and Space Administration (NNX13AI57G)
- Natural Sciences and Engineering Research Council of Canada (PGSD‐3)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astro and Planetary Science
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysics and Star Formation Studies
- Keywords
- super-Earths, transition disks, planet formation, runaway gas accretion, core accretion, in situ generation, planet migration, mean motion resonance, moisture content, planetary atmospheres
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review