2002/05/09 by Ionel Stetcu, Calvin W. Johnson
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Energy (signal processing) #Ground state #Materials science #Mathematics #Mean field theory #Nuclear physics research studies #Omega #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Random phase approximation #Shell (structure) #State (computer science) #Wave function #nucl-th
paper · pdf · doi:10.1103/physrevc.66.034301
published as Phys.Rev. C66 (2002) 034301 · 6 pages, 7 figures, submitted to Phys Rev C
arxiv created 2002/05/09 · openalex publication_date 2002/09/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The random phase approximation (RPA) builds in correlations left out by mean-field theory. In full 0\ensuremath\Elzxh\ensuremathω shell-model spaces we calculate the Hartree-Fock (HF)+RPA binding energy, and compare it to exact diagonalization. We find that often, but not always, the HF+RPA gives a good approximation to the ``exact'' ground state energy. In those cases where the RPA is less satisfactory, however, there is no obvious correlation with properties of the HF state, such as deformation or overlap with the exact ground state wave function. This weakens the reliability of the RPA for computing binding energies.