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Phys. Rev. C 66, 034301 (2002) [6 pages]

Random phase approximation vs exact shell-model correlation energies

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Ionel Stetcu* and Calvin W. Johnson
Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001

Received 20 May 2002; published 3 September 2002

The random phase approximation (RPA) builds in correlations left out by mean-field theory. In full 0ħω 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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.66.034301
DOI:
10.1103/PhysRevC.66.034301
PACS:
21.60.Jz, 21.60.Cs, 21.10.Dr

*On leave from National Institute for Physics and Nuclear Engineering—Horia Hulubei, Bucharest, Romania.

Current address: Physics Department, San Diego State University, 5500 Campanile Drive, San Diego, CA 92182-1233