Local Density Approximation for Systems with Pairing Correlations
Aurel Bulgac
University of Washington / Seattle
日時：2001年10月09日（火） 16:15-
場所：東北大学理学部物理A棟604号室
I shall introduce a natural and simple to implement renormalizationscheme of the Hartree-Fock-Bogoliubov (HFB) equations for the case ofzero range pairing interaction. This renormalization scheme proves to beequivalent to a simple energy cut-off with a position dependent runningcoupling constant, which qualitatively emulates a density dependent zerorange pairing interaction suggested by phenomenological analyses.I shall describe also fully self--consistent HFB calculations with afull consideration of the continuum of long chains of spherical nuclei(essentially from one drip line to another) using the SLy interaction.where we used a zero range pairing interaction, which for the first timewas treated without an arbitrary cutoff, using the new regularizationprocedure recently developed by us. In the end I shall formulate alocal density approximation for fermion systems with pairing correlationsbased on a rapidly converging renormalization scheme forthe pairing gap in the case of zero range pairing interaction.
当日１６：００より茶菓を用意いたします。