The Rise of Short-Range Forces in Singlet Channels

Details The Rise of Short-Range Forces in Singlet Channels The Rise of Short-Range Forces in Singlet Channels

2012-02-18

arxiv.org/abs/1202.4053v1

Physics

Nuclear Physics

Nuclear Theory

21 pages, 3 figures

Scientific paper

Continuing our effort to build a consistent power counting for chiral nuclear effective field theory, we discuss the subleading contact interactions, or counterterms, in the singlet channels of nucleon-nucleon scattering, with renormalization group invariance as the constraint. We argue that the rather large cutoff error of the leading amplitude requires O(Q) of the low-energy approximation to be non-vanishing, contrary to Weinberg's original power counting. This, together with the ultraviolet divergences of two pion exchanges in distorted-wave expansion, leads to enhancement of the 1S0 counterterms and results in a pionless theory-like power counting for the singlet channels.

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