Renormalization of chiral two-pion exchangeNNinteractions: Momentum space versus coordinate space

2007/09/30 by D. R. Entem, E. Ruiz Arriola, M. Pavon Valderrama +2 · 2 citations
Mathematics · Physics and Astronomy · #Combinatorics #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Nuclear physics research studies #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Polynomial #Quantum Chromodynamics and Particle Interactions #Renormalization #nucl-th

paper · pdf · doi:10.1103/physrevc.77.044006

published as Phys.Rev.C77:044006,2008 · 24 papes, 8 figures. Typos corrected. Extended discussions

arxiv created 2008/01/02 · openalex publication_date 2008/04/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The renormalization of the chiral np interaction in the ¹S₀ channel to next-to-next-to-next-to-leading order (N3LO) in Weinberg counting for the long-distance potential with one single momentum- and energy-independent counterterm is carried out. This renormalization scheme yields finite and unique results and is free of short-distance off-shell ambiguities. We observe good convergence in the entire elastic range below pion production threshold and find that there are some small physical effects missing in the purely pionic chiral NN potential with or without inclusion of explicit \ensuremathΔ degrees of freedom. We also study the renormalizability of the standard Weinberg counting at next-to-leading order (NLO) and next-to-next-to-leading order (N2LO) when a momentum-dependent polynomial counterterm is included. Our numerical results suggest that the inclusion of this counterterm does not yield a convergent amplitude (at NLO and N2LO).

Citations

• NNscattering3S1−3D1mixing angle at next-to-next-to-leading order
• Anomalous dimensions determine the power counting: Wilsonian RG analysis of nuclear EFT
• Towards a consistent approach to nuclear structure: EFT of two- and many-body forces
• Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Improving the convergence of the chiral expansion for nuclear forces - II: Low phases and the deuteron
• Renormalization ofNNscattering: Contact potential
• Subtractive renormalization of theNNscattering amplitude at leading order in chiral effective theory
• Renormalization group approach to two-body scattering in the presence of long-range forces
• Pion–nucleon scattering inside the Mandelstam triangle
• Chiral 3π-exchangeNNpotentials: Results for diagrams proportional togA4andgA6
• Dimensional versus cut-off renormalization and the nucleon-nucleon interaction
• Scheming in dimensional regularization
• Renormalization of the 1S0 one-pion-exchange NN interaction in presence of derivative contact interactions
• Renormalization ofNNscattering with one pion exchange and energy dependent boundary conditions

Cited by

• Infinite-Cutoff Renormalization of the Chiral Nucleon–Nucleon Interaction up to N3LO
• Nucleon-nucleon scattering from the dispersiveN/Dmethod: Next-to-leading order study