Correlation energy of the pairing Hamiltonian

2000/03/31 by K. Hagino, G. F. Bertsch, G.F. Bertsch · 4 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Energy (signal processing) #Ground state #Hamiltonian (control theory) #Nuclear physics research studies #Pairing #Quantum, superfluid, helium dynamics #Random phase approximation #Schematic #Superfluidity #nucl-th

paper · pdf · doi:10.1016/s0375-9474(00)00343-2

published as Nucl.Phys. A679 (2000) 163-174 · RevTex, 14 pages, 3 eps figures. The version to appear in Nucl. Phys. A

arxiv created 2000/06/16 · openalex publication_date 2000/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Validity of many-body approximation methods for a solvable model
• Self-consistent and renormalized particle-particle random phase approximation in a schematic model
• Angular momentum projected analysis of Quadrupole Collectivity in \protect(^30,32,34Mg\protect) and \protect(^32,34,36,38Si\protect) with the Gogny interaction
• Theory of Superconductivity

Cited by

• Structure of the phonon vacuum state
• Nuclear pairing: New perspectives
• Random phase approximation vs exact shell-model correlation energies
• Exact solution of the nuclear pairing problem