Perturbative renormalization of chiral nuclear forces at subleading order in the 3 S 1 − 3 D 1 channel
Year: 2025
Type: article
Abstract: We investigate renormalization of chiral nuclear forces in the coupled channel of ${}^{3}{S}_{1}\ensuremath{-}{}^{3}{D}_{1}$ of nucleon-nucleon scattering. The one-pion exchange potential is treated nonperturbatively at leading order while subleading potentials are perturbations. Very much like the uncoupled channel of ${}^{3}{P}_{0}$, the singular attraction of one-pion exchange gives rise to the so-called genuine exceptional cutoffs, where artificial correlations between subleading contact operators emerge and they result in ill-defined values of the low-energy constants. To address this issue we follow the solution proposed for ${}^{3}{P}_{0}$ in [Peng et al., Phys. Rev. C 110, 054001 (2024)] and apply it to ${}^{3}{S}_{1}\ensuremath{-}{}^{3}{D}_{1}$. The truncation uncertainty of an effective field theory allows certain degrees of freedom in choosing renormalization conditions, or fitting schemes of the low-energy constants. By exploiting this freedom near the exceptional cutoffs, we are able to remove the said correlations. A much-mitigated cutoff variation of the phase shifts, which is acceptable to the power counting, is thus obtained.
Source: Physical Review C
DOI: 10.1103/7jjf-gy3m
Authors: Rui Peng, Bingwei Long, Fu-Rong Xu
Institutions: Peking University, Sichuan University, Institute of Modern Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417268253