Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction

Preprint

16 August 2001

preprint
Published by arXiv in arXiv

Abstract

We introduce a natural and simple to implement renormalization scheme of the Hartree-Fock-Bogoliubov (HFB) equations for the case of zero range pairing interaction. This renormalization scheme proves to be equivalent to a simple energy cut-off with a position dependent running coupling constant, which qualitatively emulates a density dependent zero range pairing interaction suggested by phenomenological analyses.

Keywords

HARTREE FOCK BOGOLIUBOV
RENORMALIZATION SCHEME
BOGOLIUBOV EQUATIONS
RANGE PAIRING

All Related Versions

Version 1, 2001-06-26, ArXiv
Version 2, 2001-08-16, ArXiv
Version 3, 2001-09-23, ArXiv
Published version: Physical Review Letters, 88 (4), 042504.

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