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The κ resonance in s wave πK scatterings

2003/10/31 by H. Q. Zheng, Z. Y. Zhou, Z. Zhou +8 · 97 citations
Physics and Astronomy · #Atomic physics #Chiral perturbation theory #Chiral symmetry #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Resonance (particle physics) #Scattering #Scattering length #Unitarity #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2003.12.021

published in Nuclear Physics A 733(3-4), 235-261 (Elsevier BV) · Minor corrections made on discussions and typos. 1 ref. added version to appear in Nuclear Physics A

arxiv created 2003/12/21 · openalex publication_date 2004/01/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A new unitarization approach incorporated with chiral symmetry is established and applied to study the πK elastic scatterings. We demonstrate that the κ resonance exists, if the scattering length parameter in the I=1/2, J=0 channel does not deviate much from its value predicted by chiral perturbation theory. The mass and width of the κ resonance is found to be Mκ=594± 79MeV, Γκ=724± 332MeV, obtained by fitting the LASS data up to 1430MeV. Better determination to the pole parameters is possible if the chiral predictions on scattering lengths are taken into account.

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