Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations

摘要

In this first in a series of articles, we apply effective interactionsderived by the Unitary Correlation Operator Method (UCOM) to the description ofopen-shell nuclei, using a self-consistent Hartree-Fock-Bogoliubov framework toaccount for pairing correlations. To disentangle the particle-hole andparticle-particle channels and assess the pairing properties of $\VUCOM$, weconsider hybrid calculations using the phenomenological Gogny D1S interactionto derive the particle-hole mean field. In the main part of this article, weperform calculations of the tin isotopic chain using $\VUCOM$ in both theparticle-hole and particle-particle channels. We study the interplay of bothchannels, and discuss the impact of non-central and non-local terms inrealistic interactions as well as the frequently used restriction of pairinginteractions to the ${}^1S_0$ partial wave. The treatment of the center-of-massmotion and its effect on theoretical pairing gaps is assessed independently ofthe used interactions.