Odd-particle number random phase approximation and extensions: Applications to particle and hole states around ${}^{16}$O

Abstract

The hole-state random phase approximation (hRPA) and the particle-state random phase approximation (pRPA) for systems like odd $A$ nuclei are discussed. These hRPA and pRPA are formulated based on the Hartree-Fock ground state. An extension of hRPA and pRPA based on a correlated ground state is given using time-dependent density-matrix theory. Applications to the single-particle states around ${}^{16}$O are presented. It is shown that inclusion of ground-state correlation affects appreciably the results of hRPA and pRPA. The question of the coupling of the center of mass motion of the core to the particle (hole) is also discussed.

14 pages, 17 figures

References in corpus (1)

• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum

Cited by in corpus (5)

• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Mean-Field Theory for Fermion Pairs and the ab initio Particle-Vibration-Coupling Approach
• Coupled Self-Consistent RPA Equations for Even and Odd Particle Numbers. Tests with Solvable Models
• Symmetry conserving Coupled Cluster Doubles wave function and the Self-Consistent odd particle number RPA
• Number conservation in odd-particle number random phase approximation and extensions