An analysis of variational wave function for the pairing problem in strongly correlated system

Abstract

We report a theoretical analysis of variational wave functions for the BCS pairing problem. Starting with a Jastrow-Feenberg (or, in a more recent language "fixed-node") wave function for the superfluid state, we develop the full optimized Fermi-Hypernetted Chain (FHNC-EL) equations which sum a local approximation of the parquet-diagrams. Close examination of the procedure reveals that it is essential to go beyond the usual Jastrow-Feenberg approximation to guarantee the correct stability range.

arXiv comment12 pages, 3 figures

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Cited by in corpus (3)

• The ${}^1$S${}_0$ pairing gap in neutron matter
• From odd-even staggering to the pairing gap in neutron matter
• Variational and Parquet-diagram theory for strongly correlated normal and superfluid systems