2006•Physical Review COpen access

Pairing renormalization and regularization within the local density approximation

Piotr Borycki, J. Dobaczewski, W. Nazarewicz, M. V. Stoitsov

Abstract

We discuss methods used in mean-field theories to treat pairing correlations within the local density approximation. Pairing renormalization and regularization procedures are compared in spherical and deformed nuclei. Both prescriptions give fairly similar results, although the theoretical motivation, simplicity, and stability of the regularization procedure make it a method of choice for future applications.

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Key concepts: Pairing, Regularization (linguistics), Renormalization, Dimensional regularization, Mathematics, Physics, Mathematical physics, Statistical physics