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Weinberg eigenvalues and pairing with low-momentum potentials

Ramanan, S and Bogner, SK and Furnstahl, RJ (2007) Weinberg eigenvalues and pairing with low-momentum potentials. In: Nuclear Physics A, 797 (3-4). pp. 81-93.

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The non-perturbative nature of nucleon–nucleon interactions evolved to low momentum has recently been investigated in free space and at finite density using Weinberg eigenvalues as a diagnostic. This analysis is extended here to the in-medium eigenvalues near the Fermi surface to study pairing. For a fixed value of density and cutoff, the eigenvalues increase arbitrarily in magnitude close to the Fermi surface, signaling the pairing instability. When using normal-phase propagators, the Weinberg analysis with complex energies becomes a form of stability analysis and the pairing gap can be estimated from the largest attractive eigenvalue. With Nambu–Gorkov Green's functions, the largest attractive eigenvalue goes to unity close to the Fermi surface, indicating the presence of bound states (Cooper pairs), and the corresponding eigenvector leads to the self-consistent gap function.

Item Type: Journal Article
Publication: Nuclear Physics A
Publisher: Elsevier B.V.
Additional Information: Copyright of this article belongs to Elsevier B.V.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 06 Feb 2008
Last Modified: 19 Sep 2010 04:42
URI: http://eprints.iisc.ac.in/id/eprint/12976

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