Renormalization group analysis of the chiral pion production operator for NN\to dπ

Details Renormalization group analysis of the chiral pion production operator for NN\to dπ Renormalization group analysis of the chiral pion production operator for NN\to dπ

2007-10-15

arxiv.org/abs/0710.2927v1

ECONFC070910:265,2007

Physics

Nuclear Physics

Nuclear Theory

5 pages, 2 figures, Contribution to proceedings of MENU2007 (11th International Conference on Meson-Nucleon Physics and the St

Scientific paper

We are interested in the consistency between the cutoff, chiral symmetry, and the power counting. For this purpose, we apply the Wilsonian renormalization group (RG) to an operator and then decrease the Wilsonian cutoff. As an example, we study the s-wave pion production operator for NN\to d\pi, derived in chiral perturbation theory. We find that the renormalized part of the RG effective operator is accurately absorbed by chiral counter terms of higher order with natural coefficients. Thus, the use of the (sharp) cutoff regularization does not require us to introduce chiral-symmetry-breaking counter terms, at least in the case of the NN\to d\pi reaction.

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