Accuracy of the Faddeev Random Phase Approximation for Light Atoms

Abstract

The accuracy of the Faddeev random phase approximation (FRPA) method is tested by calculating the total and ionization energies of a set of light atoms up to Ar. Comparisons are made with the results of coupled-cluster singles and doubles (CCSD), third-order algebraic diagrammatic construction [ADC(3)], and with the experiment. It is seen that even for two-electron systems, He and Be-2+, the inclusion of RPA effects leads to satisfactory results and therefore it does not over-correlate the ground state. The FRPA becomes progressively better for larger atomic numbers where it gives about 5 mH more correlation energy and it shifts ionization potentials by 2-10 mH, with respect to its sister method ADC(3). The corrections for ionization potentials consistently reduce the discrepancies with the experiment.

10 pages, 3 figures, 4 tables

References in corpus (7)

• The Ground State Correlation Energy of the Random Phase Approximation from a Ring Coupled Cluster Doubles Approach
• Role of Long-Range Correlations on the Quenching of Spectroscopic Factors
• Quasiparticle and quasihole states of nuclei around 56Ni
• Quasiparticles in Neon using the Faddeev Random Phase Approximation
• Single particle spectra based of modern effective interactions
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Cited by in corpus (7)

• Novel chiral Hamiltonian and observables in light and medium-mass nuclei
• Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions
• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - II. Numerical implementation at second order with a two-nucleon interaction
• Self-consistent Green's function theory for atomic nuclei
• Self-consistent Green's functions with three-body forces
• Faddeev Random Phase Approximation applied to molecules