Aurel Bulgac, Yongle Yu
Published 2001-09-28, updated 2001-10-29Version 2
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 or density dependent running coupling constant. Subsequently, we present self-consistent HFB calculations with a full consideration of the continuum of long chains of spherical tin and lead nuclei (essentially from one drip line to another) using the SLy5 interaction. In the pairing channel we use a zero range interaction, treated by means of this new regularization scheme.
Comments: 27 pages, 15 figures, lectures presented by AB at Beijing International Summer School on Subatomic Physics, Aug. 21-25, 2001 and Intern. Work. on Nucl. Phys. with RIB, Lanzhou, Aug. 28-31, 2001 Several typos have been corrected
Local Density Approximation for Systems with Pairing Correlations
Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
Effects of Finite Temperature and Pairing Correlations in Multi-$Λ$ Hypernuclei
