Abstract
A fully consistent relativistic random phase approximation (RRPA) built on the relativistic mean field (RMF) ground state is applied to study the giant multipole resonances of stable nuclei. The fully consistent RRPA requires that the nuclear RMF wave function and the RRPA renormalization are calculated in a same effective Lagrangian. A theoretically complete treatment of the RRPA at the mean-field level must include not only the usual particle-hole states, but also the pairs formed from the occupied Fermi states and Dirac states. Effects of inclusion of Dirac sea states in various multipole excitations are investigated. Applications to exotic nuclei, such as Ca-isotopes are presented.
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