Resonating relativistic mean field theory of finite nuclei

We develop a general theory based on relativistic fields to describe finite nuclei with large quantum fluctuations. The theory is a direct extension of the resonating Hartree-Pock (HF) and resonating Hartree-Bogoliubov (HB) theories to the relativistic mean field case including an effective nucleon mass and an effective potential mediated by mesons. We start from the Walecka model and construct coherent state representations of a system of nucleons described by Dirac spinors and of mesons described in terms of bosons. A state with large quantum fluctuations is approximated by superpositions of non-orthogonal :nucleon and meson wave functions with different correlation structures. We derive the variational equations to determine the two kinds of coefficients of fermionic and bosonic configuration mixings and the two kinds of fermionic and bosonic orbitals in the resonating nucleon and meson wave functions.