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- Title
Dispersion-theoretical analysis of the electromagnetic form factors of the Λ hyperon.
- Authors
Lin, Yong-Hui; Hammer, Hans-Werner; Meißner, Ulf-G.
- Abstract
The electromagnetic form factors of the Λ hyperon in the time-like region are determined precisely through a dispersion-theoretical analysis of the world data for the cross section of the annihilation process e + e - → Λ ¯ Λ . The spectral function is represented by a superposition of narrow and broad vector meson poles. We test different scenarios for the spectral function and obtain a good description of the world data in the time-like region. The uncertainties in the extracted form factors are estimated by means of the bootstrap sampling method. The analytical continuation of the form factors to the space-like region introduces large errors due to the lack of data. When the electric Λ radius from chiral perturbation theory is taken as a constraint, the magnetic radius is predicted as r M = 0.681 ± 0.002 fm. We also extract various vector meson to baryon coupling constants.
- Subjects
CHIRAL perturbation theory; HYPERONS; VECTOR mesons; COUPLING constants
- Publication
European Physical Journal C -- Particles & Fields, 2022, Vol 82, Issue 12, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-022-11056-8