English

Contact operators in renormalization of attractive singular potentials

Nuclear Theory 2024-11-22 v2

Abstract

We discuss renormalization of chiral nuclear forces in the 3P0 channel of N N scattering at next- to-next-to leading order (N2LO) if the one-pion exchange is treated nonperturbatively at leading order. The matrix elements of the subleading contact potentials become nearly dependent of each other for the so-called exceptional ultraviolet momentum cutoff, making it difficult to determine the strengths of those contact potentials from the empirical phase shifts, as reported in Ref. [1]. We argue that this issue can be resolved by adjusting the strategy by which the low-energy constants are deduced from the data, thus making those exceptional cutoffs amenable to chiral effective field theory.

Keywords

Cite

@article{arxiv.2407.08342,
  title  = {Contact operators in renormalization of attractive singular potentials},
  author = {Rui Peng and Bingwei Long and Fu-Rong Xu},
  journal= {arXiv preprint arXiv:2407.08342},
  year   = {2024}
}
R2 v1 2026-06-28T17:37:02.210Z