The electromagnetic Sigma-to-Lambda transition form factors with coupled-channel effects in the space-like region
| Autor: | Yong-Hui Lin, Hans-Werner Hammer, Ulf-G. Meißner |
|---|---|
| Rok vydání: | 2023 |
| Předmět: |
Nuclear Theory (nucl-th)
High Energy Physics - Experiment (hep-ex) High Energy Physics - Phenomenology Nuclear and High Energy Physics High Energy Physics - Phenomenology (hep-ph) Nuclear Theory High Energy Physics::Phenomenology FOS: Physical sciences Nuclear Experiment (nucl-ex) Nuclear Experiment High Energy Physics - Experiment |
| Zdroj: | INSPIRE-HEP |
| ISSN: | 1434-601X |
| DOI: | 10.1140/epja/s10050-023-00973-1 |
| Popis: | Using dispersion theory, the electromagnetic Sigma-to-Lambda transition form factors are expressed as the product of the pion electromagnetic form factor and the $\Sigma\bar{\Lambda}\to\pi\pi$ 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 $K\bar{K}$ channel is also taken into account and the $\pi\pi$-$K\bar{K}$ coupled-channel effect is included by means of a two-channel Muskhelishvili-Omn\`{e}s representation. It is found that the electric transition form factor shows a significant shift after the inclusion of the $K\bar{K}$ channel, while the magnetic transition form factor is only weakly affected. However, the $K\bar{K}$ 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. Comment: 16 pages, 10 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink