Disconnected Julia sets as buried Julia components

Let f be a rational map whose Julia set J(f) is disconnected. It is proved that there exists a rational map g such that g has a family of buried Julia components on which g is quasiconformally conjugate to f on J(f) if and only if f has no parabolic basins and rotation domains. This extends the previous result about burying connected Julia sets to the disconnected case. Moreover, the limit behaviors of the conformal dimensions of successively burying Julia sets are also studied.