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

Aurel Bulgac, Yongle Yu

Published 2001-06-26, updated 2001-09-23Version 3

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.

Comments: 4 pages, 1 figure. The text has changed somewhat, replaced the figure with a different one, however initial assumptions and conclusions remained unchanged
Journal: Phys.Rev.Lett. 88 (2002) 042504
Categories: nucl-th
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