Giant planets around FGK stars form probably through core accretion

TL;DR

This study analyzes the planet-metallicity correlation in Kepler stars, revealing a complex, metallicity-dependent pattern that supports core accretion as the formation mechanism for giant planets, with variations across different star types and planet sizes.

Contribution

It provides the first detailed statistical evidence of a turn-off planet-metallicity correlation and its dependence on star type and planet size, supporting core accretion theory.

Findings

Planet-metallicity correlation increases then decreases with planet size.

K-type stars require higher metallicity for Super-Earth and Neptune formation.

Metallicity dependence varies with star type and planet mass.

Abstract

We present a statistical study of the planet-metallicity (P-M) correlation, by comparing the 744 stars with candidate planets (SWPs) in the Kepler field which have been observed with LAMOST, and a sample of distance-independent, fake "twin" stars in the Kepler field with no planet reported (CKSNPs) yet. With the well-defined and carefully-selected large samples, we find for the first time a turn-off P-M correlation of Delta [Fe/H]_(SWPs-SNPs), which in average increases from ~0.00+-0.03 dex to 0.06+-0.03 dex, and to 0.12+-0.03 for stars with Earth, Neptune, Jupiter-sized planets successively, and then declines to ~-0.01+-0.03 dex for more massive planets or brown dwarfs. Moreover, the percentage of those systems with positive Delta[Fe/H] has the same turn-off pattern. We also find FG-type stars follow this general trend, but K-type stars are different. Moderate metal enhancement (~0.1-0.2 dex) for K-type stars with planets of radii between 2 to 4 Earth radius as compared to CKSNPs is observed, which indicates much higher metallicities are required for Super-Earths, Neptune-sized planets to form around K-type stars. We point out that the P-M correlation is actually metallicity-dependent, i.e., the correlation is positive at solar and super-solar metallicities, and negative at subsolar metallicities. No steady increase of Delta[Fe/H] against planet sizes is observed for rocky planets, excluding the pollution scenario as a major mechanism for the P-M correlation. All these clues suggest that giant planets probably form differently from rocky planets or more massive planets/brown dwarfs, and the core-accretion scenario is highly favoured, and high metallicity is a prerequisite for massive planets to form.