On the effectiveness of effective field theory in peripheral nucleon-nucleon scattering

Abstract

Peripheral nucleon-nucleon scattering is analysed in the framework of an effective field theory. Distorted-wave methods are used to remove the effects of one-pion exchange. Two-pion exchange and recoil corrections to one-pion exchange are then subtracted pertubatively. This removes all contributions up to order Q^3 in the chiral expansion. We have applied this to the 1D2, 1F3 and 1G4 waves, using phase shifts from various partial-wave analyses by the Nijmegen group. In regions where these analyses agree we find no evidence for a breakdown of the chiral expansion. One of the terms in the effective short-range potential, the leading one in the 1D2 channel, is larger might be expected, but in general these terms have momentum scales of about 300-400 MeV. We also see hints of isospin breaking in the pi-N couplings.

6 pages, 5 figures (improved determination of scales in residual interaction)

References in corpus (19)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Effective Field Theory for Few-Nucleon Systems
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• A renormalisation-group treatment of two-body scattering
• Chiral 2pi exchange at order four and peripheral NN scattering
• Chiral two-pion exchange and proton-proton partial-wave analysis
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Determination of the chiral coupling constants c3 and c4 in new pp and np partial-wave analyses
• A renormalisation group approach to two-body scattering in the presence of long-range forces
• Chiral $2\pi$-exchange NN-potentials: Two-loop contributions
• Electromagnetic Corrections to the One-Pion-Exchange Potential
• Chiral 2$\pi$-exchange NN-potentials: Relativistic $1/M^2$-Corrections
• Equivalence of Nonstatic Two-Pion-Exchange Nucleon-Nucleon Potentials
• Renormalization of Singlet NN-Scattering with One Pion Exchange and Boundary Conditions
• Charge-Symmetry Breaking and the Two-Pion-Exchange Two-Nucleon Interaction
• Renormalization of NN-Scattering with One Pion Exchange and Boundary Conditions
• NN Scattering: Chiral Predictions for Asymptotic Observables

Cited by in corpus (31)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Renormalization of One-Pion Exchange and Power Counting
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• 50 Years of Quantum Chromodynamics
• Regularization, renormalization and "peratization" in effective field theory for two nucleons
• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Non-Central Phases
• Chiral dynamics of few- and many-nucleon systems
• Deconstructing triplet nucleon-nucleon scattering
• How (not) to renormalize integral equations with singular potentials in effective field theory
• Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
• Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• Perturbative $NN$ scattering in chiral effective field theory
• Two-nucleon scattering: merging chiral effective field theory with dispersion relations
• How to renormalize integral equations with singular potentials in effective field theory
• Nucleon-nucleon interactions from dispersion relations: Elastic partial waves
• Deconstructing 1S0 nucleon-nucleon scattering
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Nucleon-Nucleon Interactions from Dispersion Relations: Coupled Partial Waves
• Nucleon-Nucleon scattering from the dispersive N/D method: next-to-leading order study
• Chiral potentials, perturbation theory, and the 1S0 channel of NN scattering
• Three-body forces and Efimov physics in nuclei and atoms
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange
• Effective short-range interaction for spin-singlet P-wave nucleon-nucleon scattering
• Chiral symmetry and peripheral neutron-$\alpha$ scattering