Report
The electromagnetic Sigma-to-Lambda transition form factors with coupled-channel effects in the space-like region
| العنوان: | The electromagnetic Sigma-to-Lambda transition form factors with coupled-channel effects in the space-like region |
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| المؤلفون: | Lin, Yong-Hui, Hammer, Hans-Werner, Meißner, Ulf-G. |
| سنة النشر: | 2022 |
| المجموعة: | High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory |
| مصطلحات موضوعية: | High Energy Physics - Phenomenology, High Energy Physics - Experiment, Nuclear Experiment, Nuclear Theory |
| الوصف: | 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 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1140/epja/s10050-023-00973-1 |
| URL الوصول: | http://arxiv.org/abs/2205.00850 |
| رقم الانضمام: | edsarx.2205.00850 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1140/epja/s10050-023-00973-1 |
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