Local Projections of Low-Momentum Potentials
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.
Keywords
Cite
@article{arxiv.1203.5993,
title = {Local Projections of Low-Momentum Potentials},
author = {K. A. Wendt and R. J. Furnstahl and S. Ramanan},
journal= {arXiv preprint arXiv:1203.5993},
year = {2013}
}