Spin-Isospin Resonances: A Self-Consistent Covariant Description

For the first time a fully self-consistent charge-exchange relativistic RPA based on the relativistic Hartree-Fock (RHF) approach is established. The self-consistency is verified by the so-called isobaric analog state (IAS) check. The excitation properties and the nonenergy weighted sum rules of two important charge-exchange excitation modes, the Gamow-Teller resonance (GTR) and the spin-dipole resonance (SDR), are well reproduced in the doubly magic nuclei Ca48, Zr90 and Pb208 without readjustment of the particle-hole residual interaction. The dominant contribution of the exchange diagrams is demonstrated.