Exoplanetology: Exoplanets & Exomoons

A Primordial Radius Valley As A Consequence Of Planet Formation

By Keith Cowing
Status Report
astro-ph.EP
February 18, 2025
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A Primordial Radius Valley As A Consequence Of Planet Formation
Top row: Final semi-major axes and planet masses for the planet population after disc dissipation. The color denotes the final atmosphere mass fraction. The dashed lines show the pebble isolation mass at the start and end of the disc lifetime; the variation is due to the temporal change of the stellar luminosity. Bottom row: Atmosphere mass fraction as a function of core masses. The colors of the points show the injection location in the disc. In the left column we show the the population when gas accretion at the inner edge is halted. In the middle column we show the population when gas accretion continues at the inner edge while in the right column we show the planet population when we vary the inner edge. In general, atmosphere mass fractions for massive cores are similar in all three models. If gas accretion is halted at the inner edge, atmosphere mass fractions are low (up to ∼0.1-5%) due to the efficient migration happening in the disc. When gas accretion continues at the inner edge, the atmosphere mass fractions of the smallest cores can reach up to 1%. Finally, when varying the inner edge, planets that are accreting gas further away from the star are able to accrete more gas due to more efficient contraction, reaching atmosphere mass fractions of almost ∼10%. — astro-ph.EP

The radius distribution of close-in planets has been observed to have a bimodal distribution with a dearth of planets around ~1.5-2.0 R commonly referred to as the ”radius valley”.

The origin of the valley is normally attributed to mass-loss process such as photoevaporation or core-powered mass loss. Recent work, however, has suggested that the radius valley may instead arise as a consequence of gas accretion by low-mass planets. In this work we therefore aim to investigate the formation of a primordial radius valley from the formation of planet cores through pebble accretion up until the dissipation of the protoplanetary disc and subsequent contraction of accreted atmospheres.

The goal of this work is to explore the conditions for forming a primordial radius valley from first principles of planet formation theory, rather than attempting to explain the detailed structure of the observed valley. We use an analytical model with minimal assumptions to estimate the contraction rate of atmospheres and, indeed, find the formation of a primordial radius valley.

The planets smaller than the valley did not reach the pebble isolation mass, which is required for the planets to cool down sufficiently to be able to accrete a significant amount of gas. We also estimate the slopes of the radius gap as a function of orbital period for the intrinsic population as well as for planets with orbital periods <100 days. For the intrinsic population, the radius gap follows the pebble isolation mass and increases with increasing orbital period, while for close-in planets the direction of the slope reverses and decreases with increasing orbital period.

We find that planets smaller than the radius valley are predominantly rocky while the population of planets larger than the valley consists of a mixture of rocky and water-rich planets.

Jesper Nielsen, Anders Johansen, Komal Bali, Caroline Dorn

Comments: 24 Pages, 23 Figures, accepted in A&A
Subjects: Earth and Planetary Astrophysics (astro-ph.EP)
Cite as: arXiv:2502.10186 [astro-ph.EP] (or arXiv:2502.10186v1 [astro-ph.EP] for this version)
https://doi.org/10.48550/arXiv.2502.10186
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Submission history
From: Jesper Nielsen
[v1] Fri, 14 Feb 2025 14:25:02 UTC (1,649 KB)
https://arxiv.org/abs/2502.10186

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