2005/05/31 by A. N. Ivanov, M. Cargnelli, M. Faber +7
Physics and Astronomy · #Amplitude #Atomic physics #Bar (unit) #High-Energy Particle Collisions Research #Isospin #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #Scattering amplitude #Scattering length #Spin (aerodynamics) #hep-ex #hep-ph #nucl-th #physics.atom-ph
paper · pdf · doi:10.1140/epja/i2005-10128-9
published as Eur.Phys.J.A25:329-338,2005 · 20 pages, Latex, We have slightly corrected the contribution of the double scattering. This changes the S-wave scattering length of K^-d scattering by 17%, which is commensurable with the theoretical uncertainty
openalex publication_date 2005/09/01 · arxiv created 2006/07/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We argue that due to isospin and U-spin invariance of strong low-energy interactions the S-wave scattering lengths a00 and a10 of bar-KN scattering with isospin I=0 and I = 1 satisfy the low-energy theorem a00 + 3 a10 = 0 valid to leading order in chiral expansion. In the model of strong low-energy bar-KN interactions at threshold (EPJA 21,11 (2004)) we revisit the contribution of the Sigma(1750) resonance, which does not saturate the low-energy theorem a00 + 3 a10 = 0, and replace it by the baryon background with properties of an SU(3) octet. We calculate the S-wave scattering amplitudes of K-N and K-d scattering at threshold. We calculate the energy level displacements of the ground states of kaonic hydrogen and kaonic deuterium. The result obtained for kaonic hydrogen agrees well with recent experimental data by the DEAR Collaboration. We analyse the cross sections for elastic and inelastic K-p scattering for laboratory momenta of the incident K- meson from the domain 70 MeV/c < pK < 150 MeV/c. The theoretical results agree with the available experimental data within two standard deviations.