Treatment of the Intrinsic Hamiltonian in Particle-Number Nonconserving Theories

Abstract

We discuss the implications of using an intrinsic Hamiltonian in theories without particle-number conservation, e.g., the Hartree-Fock-Bogoliubov approximation, where the Hamiltonian's particle-number dependence leads to discrepancies if one naively replaces the particle-number operator by its expectation value. We develop a systematic expansion that fixes this problem and leads to an a posteriori justification of the widely-used one- plus two-body form of the intrinsic kinetic energy in nuclear self-consistent field methods. The expansion's convergence properties as well as its practical applications are discussed for several sample nuclei.

6 pages, 5 figures

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• Microscopic justification of the Equal Filling approximation
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• Hartree-Fock and Many-Body Perturbation Theory with Correlated Realistic NN-Interactions
• Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations
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