Renormalization schemes and the range of two-nucleon effective field theory

Abstract

The OS and PDS renormalization schemes for the effective field theory with nucleons and pions are investigated. We explain in detail how the renormalization is implemented using local counterterms. Fits to the NN scattering data are performed in the 1S0 and 3S1 channels for different values of mu_R. An error analysis indicates that the range of the theory with perturbative pions is consistent with 500 MeV.

40 pages, typos corrected, journal version. Discussion of the range in section VII clarified, conclusions unchanged

References in corpus (12)

• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Low Energy Theorems For Nucleon-Nucleon Scattering
• The Polarizability of the Deuteron
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• The Power Of Effective Field Theories In Nuclei: The Deuteron, NN Scattering and Electroweak Processes
• Parity Violation in Effective Field Theory and the Deuteron Anapole Moment
• Removing Pions from Two-Nucleon Effective Field Theory
• A momentum subtraction scheme for two--nucleon effective field theory
• Gamma-Deuteron Compton Scattering in Effective Field Theory
• Regularization Methods for Nucleon-Nucleon Effective Field Theory
• Systematic Power Counting in Cutoff Effective Field Theories for Nucleon-Nucleon Interactions and the Equivalence With PDS

Cited by in corpus (19)

• Nuclear effective field theory: status and perspectives
• Nucleon-Nucleon Effective Field Theory Without Pions
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
• Wigner symmetry in the limit of large scattering lengths
• Proton-Proton Fusion in Effective Field Theory
• Renormalization of Singlet NN-Scattering with One Pion Exchange and Boundary Conditions
• Renormalization of NN-Scattering with One Pion Exchange and Boundary Conditions
• The NN scattering 3S1-3D1 mixing angle at NNLO
• Quartet S-wave p-d scattering in EFT
• Hadronic Atoms and Effective Interactions
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• ${}^3\mathrm{He}$ and $pd$ Scattering to Next-to-Leading Order in Pionless Effective Field Theory
• Anomalous dimensions determine the power counting -- Wilsonian RG analysis of nuclear EFT --
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Perturbative Effective Field Theory at Finite Density
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Hadronic Parity Violation: an Analytic Approach
• The lepton-number-violating pion decay and the type-I seesaw mechanism in chiral perturbation theory