Effective short-range interaction for spin-singlet P-wave nucleon-nucleon scattering

Abstract

Distorted-wave methods are used to remove the effects of one- and two-pion exchange up to order Q^3 from the empirical 1P1 phase shift. The one divergence that arises can be renormalised using an order-Q^2 counterterm which is provided by the (Weinberg) power counting appropriate to the effective field theory for this channel. The residual interaction is used to estimate the scale of the underlying physics.

4 pages, 3 figures (pdf)

References in corpus (19)

• Construction of high-quality Nucleon-Nucleon potential models
• Effective Field Theory for Few-Nucleon Systems
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Chiral two-pion exchange and proton-proton partial-wave analysis
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Regularization, renormalization and "peratization" in effective field theory for two nucleons
• Determination of the chiral coupling constants c3 and c4 in new pp and np partial-wave analyses
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Non-Central Phases
• Renormalization of the Deuteron with One Pion Exchange
• Deconstructing triplet nucleon-nucleon scattering
• Equivalence of Nonstatic Two-Pion-Exchange Nucleon-Nucleon Potentials
• 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
• On the effectiveness of effective field theory in peripheral nucleon-nucleon scattering
• Deconstructing 1S0 nucleon-nucleon scattering
• Chiral potentials, perturbation theory, and the 1S0 channel of NN scattering

Cited by in corpus (7)

• Nuclear effective field theory: status and perspectives
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Chiral dynamics of few- and many-nucleon systems
• Power Counting in Peripheral Partial Waves: The Singlet Channels
• The multiple-scattering series in pion-deuteron scattering and the nucleon-nucleon potential: perspectives from effective field theory
• A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system