The origin of the high metallicity of close-in giant exoplanets: Combined effect of the resonant and aerodynamic shepherding

Context.Recent studies suggest that many giant exoplanets are highly enriched with heavy elements compared to their host star andcontain several tens of Earth masses or more of heavy elements. Such enrichment is considered to have been brought by accretionof planetesimals in late formation stages. Previous dynamical simulations, however, show that planets are unable to collect so muchheavy elements throughin situplanetesimal accretion. Aims.We investigate whether a giant planet migrating inward can capture planetesimals efficiently to significantly increase its metal-licity. Methods.We performed orbital integrations of a migrating giant planet and planetesimals in a protoplanetary gas disc to infer theplanetesimal mass that is accreted by the planet. Results.We find that the two shepherding processes of mean motion resonances trapping and aerodynamic gas drag inhibit plan-etesimal capture of a migrating planet. However, the amplified libration allows the highly-excited planetesimals in the resonances toescape from the resonance trap and be accreted by the planet. Consequently, we show that a migrating giant planet captures planetes-imals with total mass of several tens of Earth masses, if the planet forms at a few tens of AU in a relatively massive disc. We alsofind that planetesimal capture occurs efficiently in a limited range of semi-major axis, and that the total captured planetesimal massincreases with increasing migration distances. Our results have important implications for understanding the relation between giantplanet metallicity and mass, as we suggest that it reflects the formation location of the planet, or more precisely, the location whererunaway gas accretion occurred. We also suggest the observed metal-rich close-in Jupiters migrated to their present locations fromafar, where they formed.