2005/05/31 by H. Polinder, Th. A. Rijken · 1 citation
Physics and Astronomy · #Baryon #Geometry #Hadron #High-Energy Particle Collisions Research #Meson #Nucleon #Omega #Partial wave analysis #Particle physics #Particle physics theoretical and experimental studies #Physics #Pomeron #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #Scattering #nucl-th
paper · pdf · doi:10.1103/physrevc.72.065211
published as Phys.Rev. C72 (2005) 065211 · 24 pages, 20 PostScript figures, revtex4, submitted to Phys. Rev. C
arxiv created 2005/05/31 · openalex publication_date 2005/12/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The \ensuremathπN potential includes the t-channel exchanges of the scalar mesons \ensuremathσ and f0, vector meson \ensuremathρ, tensor mesons f2 and f2', and the Pomeron as well as the s- and u-channel exchanges of the nucleon N and the resonances \ensuremathΔ, Roper, and S11. These baryonic resonances are not generated dynamically. We consider them, at least partially, as genuine three-quark states, and we treat them in the same way as the nucleon. The Roper and S11 resonances were needed to find the proper behavior of the phase shifts at higher energies in the corresponding partial waves. The soft-core \ensuremathπN model gives an excellent fit to the empirical \ensuremathπN S- and P-wave phase shifts up to Tlab=600 MeV. Also, the scattering lengths have been reproduced well, and the soft-pion theorems for low-energy \ensuremathπN scattering are satisfied. The soft-core model for the K+N interaction is an SUf(3) extension of the soft-core \ensuremathπN model. The K+N potential includes the t-channel exchanges of the scalar mesons a0,\ensuremathσ, and f0, vector mesons \ensuremathρ,\ensuremathω, and \ensuremathφ, tensor mesons a2,f2, and f2', and the Pomeron as well as u-channel exchanges of the hyperons \ensuremathΛ,\ensuremathΣ,\ensuremathΣ(1385), and \ensuremathΛ(1405). The fit to the empirical K+N S-, P-, and D-wave phase shifts up to Tlab=600 MeV is reasonable and certainly reflects the present state of the art. Since the various K+N phase shift analyses are also not very consistent, scattering observables are also compared with the soft-core K+N model. A good agreement for the total and differential cross sections as well as the polarizations is found.