Abstract
A relativistic random-phase approximation (RPA) description of discrete excitations in closed-shell nuclei is presented using a spectral approach, with emphasis on the nature and importance of self-consistency. A functional derivation of self-consistent RPA equations is given, based on a nonrelativistic formalism, and its generalization is discussed. Vacuum polarization is neglected, but consistency demands configuration spaces that include both particle-hole pairs and pairs formed from occupied states and negative-energy states, which ensures current conservation and the decoupling of the spurious state. Results in the Walecka (σ-ω) model for various isoscalar states in , , and , are given, including electron scattering form factors.
- Received 26 March 1990
DOI:https://doi.org/10.1103/PhysRevC.42.2009
©1990 American Physical Society