RPA vs. exact shell-model correlation energies

Details RPA vs. exact shell-model correlation energies RPA vs. exact shell-model correlation energies

2002-05-09

arxiv.org/abs/nucl-th/0205029v1

Phys.Rev. C66 (2002) 034301

Physics

Nuclear Physics

Nuclear Theory

6 pages, 7 figures, submitted to Phys Rev C

Scientific paper

10.1103/PhysRevC.66.034301

The random phase approximation (RPA) builds in correlations left out by mean-field theory. In full 0-hbar-omega shell-model spaces we calculate the Hartree-Fock + RPA binding energy, and compare it to exact diagonalization. We find that in general HF+RPA gives a very good approximation to the ``exact'' ground state energy. In those cases where 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 wavefunction.

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