Effective Field Theory for Dilute Fermions with Pairing

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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31 pages, 10 figures, affiliation updated, paper unchanged

Scientific paper

10.1016/j.aop.2007.01.003

Effective field theory (EFT) methods for a uniform system of fermions with short-range, natural interactions are extended to include pairing correlations, as part of a program to develop a systematic Kohn-Sham density functional theory (DFT) for medium and heavy nuclei. An effective action formalism for local composite operators leads to a free-energy functional that includes pairing by applying an inversion method order by order in the EFT expansion. A consistent renormalization scheme is demonstrated for the uniform system through next-to-leading order, which includes induced-interaction corrections to pairing.

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