Why do more massive stars host larger planets?

It has been suggested that planetary radii increase with the stellar mass, for planets below 6 R$_{\oplus}$ and host 1 M$_\odot$. In this study, we explore whether inferred relation between size star's mass can be explained by a larger among orbiting more massive stars, inflation of radius due to difference in irradiation, or different compositions structures. Using exoplanetary data measured masses radii, investigate relations various properties G- K- confirm stars massive. We find differences temperatures are insufficient explain surrounding types. show fraction volatile material (H-He atmospheres) stars. conclude around most probably as result H-He atmospheres. Our findings imply forming tend accrete atmospheres efficiently.