Cited by 317Stellar, planetary, and galactic studiesAstro and Planetary ScienceAstrophysics and Star Formation Studies

BREEDING SUPER-EARTHS AND BIRTHING SUPER-PUFFS IN TRANSITIONAL DISKS

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Lee, Eve J., Chiang, Eugene·2016·The Astrophysical Journal

Abstract

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.

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  • 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)

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Research works printed but not linked: 90

  1. Agnor, C. B., & Ward, W. R. 2002, ApJ, 567, 579 · DOI
  2. 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
  3. Andrews, S. M., Rosenfeld, K. A., Kraus, A. L., & Wilner, D. J. 2013, ApJ, 771, 129 · DOI
  4. Batalha, N. M., Rowe, J. F., Bryson, S. T., et al. 2013, ApJS, 204, 24 · DOI · Paper page
  5. Biddle, L. I., Pearson, K. A., Crossfield, I. J. M., et al. 2014, MNRAS, 443, 1810 · DOI
  6. Blum, J., & Wurm, G. 2000, Icar, 143, 138 · DOI
  7. Bonfils, X., Delfosse, X., Udry, S., et al. 2013, A&A, 549, A109 · DOI · Paper page
  8. Burke, C. J., Christiansen, J. L., Mullally, F., et al. 2015, ApJ, 809, 8 · DOI
  9. Casassus, S., Marino, S., Perez, S., et al. 2015, ApJ, 811, 92 · DOI
  10. Chambers, J. E., Wetherill, G. W., & Boss, A. P. 1996, Icar, 119, 261 · DOI
  11. Chiang, E., & Laughlin, G. 2013, MNRAS, 431, 3444 · DOI
  12. Chiang, E., & Murray-Clay, R. 2007, NatPh, 3, 604 · DOI
  13. Clanton, C., & Gaudi, B. S. 2014, ApJ, 791, 91 · DOI
  14. Clanton, C., & Gaudi, B. S. 2015, arXiv:1508.04434 · arXiv
  15. Clarke, C. J., Gendrin, A., & Sotomayor, M. 2001, MNRAS, 328, 485 · DOI
  16. Crossfield, I. J. M., Barman, T., Hansen, B. M. S., & Howard, A. W. 2013, A&A, 559, A33 · DOI
  17. Cumming, A., Butler, R. P., Marcy, G. W., et al. 2008, PASP, 120, 531 · DOI · Paper page
  18. D'Alessio, P., Calvet, N., & Hartmann, L. 2001, ApJ, 553, 321 · DOI
  19. D'Angelo, G., & Bodenheimer, P. 2013, ApJ, 778, 77 · DOI
  20. Dawson, R., Chiang, E., & Lee, E. 2015a, MNRAS, 453, 1471 · DOI
  21. Dawson, R. I., Lee, E. J., & Chiang, E. 2015b, arXiv:1512.04951 · arXiv
  22. Dong, S., & Zhu, Z. 2013, ApJ, 778, 53 · DOI
  23. Drake, J. J., Ercolano, B., Flaccomio, E., & Micela, G. 2009, ApJL, 699, L35 · DOI
  24. Dressing, C. D., & Charbonneau, D. 2015, ApJ, 807, 45 · DOI
  25. Duffell, P. C., & Chiang, E. 2015, ApJ, 812, 94 · DOI
  26. 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
  27. Ferguson, J. W., Alexander, D. R., Allard, F., et al. 2005, ApJ, 623, 585 · DOI · Paper page
  28. Ford, E. B., & Chiang, E. I. 2007, ApJ, 661, 602 · DOI
  29. Fraine, J., Deming, D., Benneke, B., et al. 2014, Natur, 513, 526 · DOI
  30. Fressin, F., Torres, G., Charbonneau, D., et al. 2013, ApJ, 766, 81 · DOI
  31. Fung, J., Artymowicz, P., & Wu, Y. 2015, arXiv:1505.03152 · arXiv
  32. Gautier, T. N., III, Charbonneau, D., Rowe, J. F., et al. 2012, ApJ, 749, 15 · DOI
  33. Goldreich, P., Lithwick, Y., & Sari, R. 2004, ARA&A, 42, 549 · DOI
  34. Goldreich, P., & Sari, R. 2003, ApJ, 585, 1024 · DOI
  35. Gould, A., Dong, S., Gaudi, B. S., et al. 2010, ApJ, 720, 1073 · DOI
  36. Hadden, S., & Lithwick, Y. 2014, ApJ, 787, 80 · DOI
  37. Hori, Y., & Ikoma, M. 2011, MNRAS, 416, 1419 · DOI
  38. Howard, A. W., Marcy, G. W., Johnson, J. A., et al. 2010, Sci, 330, 653 · DOI · Paper page
  39. Ikoma, M., & Hori, Y. 2012, ApJ, 753, 66 · DOI
  40. Ikoma, M., Nakazawa, K., & Emori, H. 2000, ApJ, 537, 1013 · DOI
  41. Inamdar, N. K., & Schlichting, H. E. 2015, MNRAS, 448, 1751 · DOI
  42. Iwasaki, K., Tanaka, H., Nakazawa, K., & Hiroyuki, E. 2001, PASJ, 53, 321 · DOI
  43. Jontof-Hutter, D., Lissauer, J. J., Rowe, J. F., & Fabrycky, D. C. 2014, ApJ, 785, 15 · DOI
  44. Jontof-Hutter, D., Rowe, J. F., Lissauer, J. J., Fabrycky, D. C., & Ford, E. B. 2015, Natur, 522, 321 · DOI
  45. Knutson, H. A., Benneke, B., Deming, D., & Homeier, D. 2014, Natur, 505, 66 · DOI
  46. Kominami, J., & Ida, S. 2002, Icar, 157, 43 · DOI
  47. Kornet, K., Wolf, S., & Różyczka, M. 2006, A&A, 458, 661 · DOI
  48. Kreidberg, L., Bean, J. L., Désert, J.-M., et al. 2014, Natur, 505, 69 · DOI
  49. Laughlin, G., Bodenheimer, P., & Adams, F. C. 2004, ApJL, 612, L73 · DOI
  50. Lee, E. J., & Chiang, E. 2015, ApJ, 811, 41 · DOI
  51. Lee, E. J., Chiang, E., & Ormel, C. W. 2014, ApJ, 797, 95 · DOI
  52. Line, M., & Parmentier, V. 2015, arXiv:1511.09443 · arXiv
  53. Lopez, E. D., & Fortney, J. J. 2013, ApJ, 776, 2 · DOI
  54. 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
  55. Marcy, G. W., Isaacson, H., Howard, A. W., et al. 2014, ApJS, 210, 20 · DOI
  56. Masuda, K. 2014, ApJ, 783, 53 · DOI
  57. Mizuno, H. 1980, PThPh, 64, 544 · DOI
  58. Mordasini, C., Klahr, H., Alibert, Y., Miller, N., & Henning, T. 2014, A&A, 566, A141 · DOI
  59. Morley, C. V., Fortney, J. J., Kempton, E. M.-R., et al. 2013, ApJ, 775, 33 · DOI
  60. Nettelmann, N., Fortney, J. J., Kramm, U., & Redmer, R. 2011, ApJ, 733, 2 · DOI
  61. Ogihara, M., Ida, S., & Morbidelli, A. 2007, Icar, 188, 522 · DOI
  62. Ormel, C. W. 2014, ApJL, 789, L18 · DOI
  63. Ormel, C. W., Shi, J.-M., & Kuiper, R. 2015, MNRAS, 447, 3512 · DOI
  64. Owen, J. E., Clarke, C. J., & Ercolano, B. 2012, MNRAS, 422, 1880 · DOI
  65. Owen, J. E., Ercolano, B., & Clarke, C. J. 2011, MNRAS, 412, 13 · DOI
  66. Owen, J. E., & Wu, Y. 2013, ApJ, 775, 105 · DOI
  67. Papaloizou, J. C. B., & Larwood, J. D. 2000, MNRAS, 315, 823 · DOI
  68. Petigura, E. A., Marcy, G. W., & Howard, A. W. 2013, ApJ, 770, 69 · DOI
  69. Piso, A.-M. A., & Youdin, A. N. 2014, ApJ, 786, 21 · DOI
  70. Piso, A.-M. A., Youdin, A. N., & Murray-Clay, R. A. 2015, ApJ, 800, 82 · DOI
  71. Pollack, J. B., Hubickyj, O., Bodenheimer, P., et al. 1996, Icar, 124, 62 · DOI
  72. Pu, B., & Wu, Y. 2015, ApJ, 807, 44 · DOI
  73. Rogers, L. A., & Seager, S. 2010a, ApJ, 712, 974 · DOI
  74. Rogers, L. A., & Seager, S. 2010b, ApJ, 716, 1208 · DOI
  75. Rosenfeld, K. A., Chiang, E., & Andrews, S. M. 2014, ApJ, 782, 62 · DOI
  76. Rowe, J. F., Bryson, S. T., Marcy, G. W., et al. 2014, ApJ, 784, 45 · DOI
  77. Steffen, J. H. 2015, arXiv:1510.04750 · arXiv
  78. Steffen, J. H., Batalha, N. M., Borucki, W. J., et al. 2010, ApJ, 725, 1226 · DOI
  79. Steffen, J. H., Fabrycky, D. C., Agol, E., et al. 2013, MNRAS, 428, 1077 · DOI
  80. Stevenson, D. J. 1982, P&SS, 30, 755 · DOI
  81. Stevenson, D. J. 1984, in Lunar and Planetary Science Conf., Lunar and Planetary Inst. Technical Report, Vol.15, 822
  82. Sumi, T., Bennett, D. P., Bond, I. A., et al. 2010, ApJ, 710, 1641 · DOI
  83. Van Eylen, V., & Albrecht, S. 2015, ApJ, 808, 126 · DOI
  84. Venturini, J., Alibert, Y., Benz, W., & Ikoma, M. 2015, A&A, 576, A114 · DOI
  85. Weiss, L. M., & Marcy, G. W. 2014, ApJL, 783, L6 · DOI · Paper page
  86. Windmark, F., Birnstiel, T., Ormel, C. W., & Dullemond, C. P. 2012, A&A, 544, L16 · DOI
  87. Wolfgang, A., & Lopez, E. 2015, ApJ, 806, 183 · DOI
  88. Wolfgang, A., Rogers, L. A., & Ford, E. B. 2015, arXiv:1504.07557 · arXiv
  89. Wu, Y., & Lithwick, Y. 2013, ApJ, 772, 74 · DOI · Paper page
  90. Zhou, J.-L., Lin, D. N. C., & Sun, Y.-S. 2007, ApJ, 666, 423 · DOI

Cited by

Sorted by citations

Authors
Lee, E. J., & Chiang, E.
Affiliations
University of California, Berkeley (US)
Venue
The Astrophysical Journal
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
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

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