Effective chiral theory of nucleon–nucleon scattering

1999/06/30 by Matthias Lutz, M. Lutz · 1 citation
Physics and Astronomy · #Amplitude #Effective field theory #Field (mathematics) #High-Energy Particle Collisions Research #Inelastic scattering #Isospin #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Scattering #Scattering amplitude #Scattering theory #Unitarity #hep-ph #nucl-th

paper · pdf · doi:10.1016/s0375-9474(00)00206-2

published as Nucl.Phys.A677:241-312,2000 · 89 pages, 5 figures, submitted to Nucl. Phys. A (substantially revised version)

arxiv created 1999/12/23 · openalex publication_date 2000/09/01 · arxiv updated 2010/12/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a new chiral expansion scheme for the nucleon-nucleon scattering amplitude which preserves unitarity exactly. Our effective field theory builds on the power counting rules for 2-nucleon reducible diagrams proposed in \citelutz. We evaluate the leading order terms of the isospin one scattering amplitude and elaborate in detail on the ¹S₀ phase shift. Our chiral description of the ¹S₀-phase shift does compete in quality with modern phenomenological nucleon-nucleon potentials. We describe elastic and inelastic scattering quantitatively up to laboratory energies of E_{\rm lab} ≃ 600 MeV.

Citations

• Meson exchange and pion rescattering contributions to the cross section for pp → ppπ0
• The power of effective field theories in nuclei: The deuteron, NN scattering and electroweak processes
• Removing pions from two-nucleon effective field theory
• Role of heavy-meson exchange in pion production near threshold
• Saturation from nuclear pion dynamics
• Chiral Dynamics in Nucleons and Nuclei
• Nonlinear Realizations of Chiral Symmetry

Cited by

• Baryon self energies in the chiral loop expansion