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New fixed points of the renormalisation group for two-body scattering

arXiv:1510.02209 · doi:10.1140/epja/i2016-16026-1

Abstract

We outline a separable matrix ansatz for the potentials in effective field theories of nonrelativistic two-body systems with short-range interactions. We use this ansatz to construct new fixed points of the renormalisation-group equation for these potentials. New fixed points indicate a much richer structure than previously recognized in the RG flows of simple short-range potentials.

6 pages, no figures