Renormalizing Chiral Nuclear Forces: Triplet Channels
Abstract
We discuss the subleading contact interactions, or counterterms, of the triplet channels of nucleon-nucleon scattering in the framework of chiral effective field theory, with S and P waves as the examples. The triplet channels are special in that they allow the singular attraction of one-pion exchange to modify Weinberg's original power counting (WPC) scheme. With renormalization group invariance as the constraint, our power counting for the triplet channels can be summarized as a modified version of naive dimensional analysis in which, when compared with WPC, all of the counterterms in a given partial wave (leading or subleading) are enhanced by the same amount. More specifically, this means that WPC needs no modification in 3S1-3D1 and 3P1, whereas a two-order enhancement is necessary in both 3P0 and 3P2 - 3F2.
Cite
@article{arxiv.1111.3993,
title = {Renormalizing Chiral Nuclear Forces: Triplet Channels},
author = {Bingwei Long and Chieh-Jen Yang},
journal= {arXiv preprint arXiv:1111.3993},
year = {2012}
}
Comments
published version