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arXiv · 1203.5993

Local Projections of Low-Momentum Potentials

K. A. Wendt·R. J. Furnstahl·S. Ramanan
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Abstract

Nuclear interactions evolved via renormalization group methods to lower resolution become increasingly non-local (off-diagonal in coordinate space) as they are softened. This inhibits both the development of intuition about the interactions and their use with some methods for solving the quantum many-body problem. By applying "local projections", a softened interaction can be reduced to a local effective interaction plus a non-local residual interaction. At the two-body level, a local projection after similarity renormalization group (SRG) evolution manifests the elimination of short-range repulsive cores and the flow toward universal low-momentum interactions. The SRG residual interaction is found to be relatively weak at low energy, which motivates a perturbative treatment.

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K. A. Wendt, R. J. Furnstahl, S. Ramanan. 2012-03-27. Local Projections of Low-Momentum Potentials. https://doi.org/10.1103/physrevc.86.014003

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