Renormalization of the 1S0 one-pion-exchange NN interaction in presence of derivative contact interactions

2003/01/31 by J. Nieves
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1016/j.physletb.2003.05.009

published as Phys.Lett. B568 (2003) 109-117 · 7 pages, revtex4, Phys. Lett. B in print

arxiv created 2003/07/15 · openalex publication_date 2003/07/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We use standard distorted wave theory techniques and dimensional regularization to find out solutions of the nucleon-nucleon Lippman--Schwinger equation with a kernel determined by the Weinberg's next-to-leading potential, which consists of one--pion exchange and additional contact terms with derivatives. Though for simplicity, we restrict the discussion to the ¹S₀ channel and to contact terms containing up to two derivatives, the generalization to higher waves and/or number of derivatives is straightforward. The undetermined low energy constants emerging out of the renormalization procedure are fitted to data.

Citations

• NNscattering3S1−3D1mixing angle at next-to-next-to-leading order
• Chiral symmetry amplitudes in the S-wave isoscalar and isovector channels and the σ, f0(980), a0(980) scalar mesons
• Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
• Low energy theorems for nucleon-nucleon scattering
• Chiral perturbation theory to one loop
• Systematic power counting in cutoff effective field theories for nucleon-nucleon interactions and the equivalence with PDS
• Three-body interactions among nucleons and pions