Renormalizing Chiral Nuclear Forces: Triplet Channels

Details Renormalizing Chiral Nuclear Forces: Triplet Channels Renormalizing Chiral Nuclear Forces: Triplet Channels

2011-11-16

arxiv.org/abs/1111.3993v2

Phys. Rev. C 85, 034002 (2012)

Physics

Nuclear Physics

Nuclear Theory

published version

Scientific paper

10.1103/PhysRevC.85.034002

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.

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