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- Title
The electromagnetic Sigma-to-Lambda transition form factors with coupled-channel effects in the space-like region.
- Authors
Lin, Yong-Hui; Hammer, Hans-Werner; Meißner, Ulf-G.
- Abstract
Using dispersion theory, the electromagnetic Sigma-to-Lambda transition form factors are expressed as the product of the pion electromagnetic form factor and the Σ Λ ¯ → π π scattering amplitudes with the latter estimated from SU(3) chiral perturbation theory including the baryon decuplet as explicit degrees of freedom. The contribution of the K K ¯ channel is also taken into account and the π π – K K ¯ coupled-channel effect is included by means of a two-channel Muskhelishvili–Omnès representation. It is found that the electric transition form factor shows a significant shift after the inclusion of the K K ¯ channel, while the magnetic transition form factor is only weakly affected. However, the K K ¯ effect on the electric form factor is obscured by the undetermined coupling h A in the three-flavor chiral Lagrangian. The error bands of the Sigma-to-Lambda transition form factors from the uncertainties of the couplings and low-energy constant in three-flavor chiral perturbation theory are estimated by a bootstrap sampling method.
- Subjects
CHIRAL perturbation theory; BARYONS; SCATTERING amplitude (Physics); MAGNETIC transitions; COUPLING constants; DEGREES of freedom
- Publication
European Physical Journal A -- Hadrons & Nuclei, 2023, Vol 59, Issue 3, p1
- ISSN
1434-6001
- Publication type
Article
- DOI
10.1140/epja/s10050-023-00973-1