Renormalization of nuclear chiral effective field theory with non-perturbative leading order interactions

Abstract

We extend the renormalizability study of the formulation of chiral effective field theory with a finite cutoff, applied to nucleon-nucleon scattering, by taking into account non-perturbative effects. We consider the nucleon-nucleon interaction up to next-to-leading order in the chiral expansion. The leading-order interaction is treated non-perturbatively. In contrast to the previously considered case when the leading-order interaction was assumed to be perturbative, new features related to the renormalization of the effective field theory are revealed. In particular, more severe constraints on the leading-order potential are formulated, which can enforce the renormalizability and the correct power counting for the next-to-leading order amplitude. To illustrate our theoretical findings, several partial waves in the nucleon-nucleon scattering, ${}^3{P}_0$, ${}^3{S}_1-{}^3{D}_1$ and ${}^1{S}_0$ are analyzed numerically. The cutoff dependence and the convergence of the chiral expansion for those channels are discussed.

44 pages, 5 figures

References in corpus (6)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Short-range nuclear forces in singlet channels
• Deconstructing triplet nucleon-nucleon scattering
• Nucleon-nucleon interaction in chiral EFT with a finite cutoff: explicit perturbative renormalization at next-to-leading order

Cited by in corpus (4)

• Three-body forces and Efimov physics in nuclei and atoms
• Relativistic model-free prediction for neutrinoless double beta decay at leading order
• Reexamining the perturbative renormalizability of the coupled triplets
• Regulator constraints for the perturbative renormalizability of attractive triplets