English

Short-range nuclear forces in singlet channels

Nuclear Theory 2013-04-30 v2

Abstract

Continuing our effort to build a consistent power counting for chiral nuclear effective field theory (EFT), 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 EFT expansion to be nonvanishing, contrary to Weinberg's original power counting. This, together with the ultraviolet divergences of two-pion exchanges in the distorted-wave expansion, leads to enhancement of the 1S0 counterterms and results in a pionless-theory-like power counting for the singlet channels.

Keywords

Cite

@article{arxiv.1202.4053,
  title  = {Short-range nuclear forces in singlet channels},
  author = {Bingwei Long and C. -J. Yang},
  journal= {arXiv preprint arXiv:1202.4053},
  year   = {2013}
}

Comments

version consistent with the published paper

R2 v1 2026-06-21T20:21:26.305Z