Renormalizing N3LO Nucleon–Nucleon Interactions with Multiple Subtractions and Infinite Cutoff: The 3 F 4 −3 H 4 and the 3 G 5− 3 I 5 Coupled Channels

Abstract

We apply five subtractions to the scattering equation to renormalize the nucleon–nucleon interaction in coupled channels. We take as an example the coupled channels with total angular momentum J = (4, 5) for the interactions N3LO-EM and N3LO-EGM. The waves with L = J − 1 and the mixing angles are rather independent of the renormalization scale while the waves with L = J + 1 show a slower convergence as the renormalization scale increases, but become scale invariant at μ ~ 1 fm−1.