Resonant random phase approximation

Particle-hole excitations are studied in terms of a single-particle representation consisting of bound states and resonant solutions (Gamow resonances) of a ‘‘realistic’’ Woods-Saxon potential. Within this representation a particle-hole resonant random phase approximation is developed. Using the resonant random phase approximation the escape widths of the multipole giant resonances in ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ are calculated and reasonable agreement with available experimental data is obtained.