Correlation energy of the pairing Hamiltonian

Details Correlation energy of the pairing Hamiltonian Correlation energy of the pairing Hamiltonian

2000-03-08

arxiv.org/abs/nucl-th/0003016v3

Nucl.Phys. A679 (2000) 163-174

Physics

Nuclear Physics

Nuclear Theory

RevTex, 14 pages, 3 eps figures. The version to appear in Nucl. Phys. A

Scientific paper

10.1016/S0375-9474(00)00343-2

We study the correlation energy associated with the pair fluctuations in BCS theory. We use a schematic two-level pairing model and discuss the behavior of the correlation energy across shell closures, including the even-odd differences. It is shown that the random phase approximation (RPA) to the ground state energy reproduces the exact solutions quite well both in the normal fluid and in the superfluid phases. In marked contrast, other methods to improve the BCS energies such as Lipkin-Nogami method, only work when the strength of a pairing interaction is large. We thus conclude that the RPA approach is better for a systematic theory of nuclear binding energies.

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