2000/03/23 by V. Pascalutsa, Vladimir Pascalutsa, J. A. Tjon · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.61.054003
published as Phys.Rev. C61 (2000) 054003 · 41 pages, 15 figures, to appear in Physical Review C
arxiv created 2000/03/23 · openalex publication_date 2000/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a relativistic covariant and unitary description of the pion-nucleon interaction in a hadron-exchange model. The model is based on the solution of a dimensionally reduced (quasipotential) Bethe-Salpeter equation for the partial-wave off-shell \ensuremathπN scattering amplitudes with the potential consisting of the field-theoretical s- and u-channel nucleon, Roper, Delta, D13, S11 exchanges, and the t-channel \ensuremathρ and \ensuremathσ meson exchanges. The contributions of the spin-3/2 Delta and D13 resonances are treated within the Rarita-Schwinger formalism and different forms of the \ensuremathπN\ensuremathΔ vertex are investigated. The free parameters of the model are fitted to the \ensuremathπN phase-shift data of the KH80 and SM95 partial-wave analyses in the region up to 600 MeV pion kinetic energy. The resulting on-shell solution provides a good description of the \ensuremathπN scattering lengths, as well as the energy behavior of the S, P, and D partial waves. The sensitivity of the phase shifts on various model-dependent effects is examined.