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- Title
Helicity amplitudes of the $ \Lambda$(1670) and two $ \Lambda$(1405) as dynamically generated resonances.
- Authors
Döring, M.; Jido, D.; Oset, E.
- Abstract
We determine the helicity amplitudes A and radiative decay widths in the transition $ \Lambda$(1670) $ \rightarrow$ $ \gamma$ Y ( Y = $ \Lambda$ or $ \Sigma^{{0}}_{}$ . The $ \Lambda$(1670) is treated as a dynamically generated resonance in meson-baryon chiral dynamics. We obtain the radiative decay widths of the $ \Lambda$(1670) to $ \gamma$ $ \Lambda$ as 2±1 keV and to $ \gamma$ $ \Sigma^{{0}}_{}$ as 120±50 keV. Also, the Q-dependence of the helicity amplitudes A is calculated. We find that the K $ \Xi$ component in the $ \Lambda$(1670) structure, mainly responsible for the dynamical generation of this resonance, is also responsible for the significant suppression of the decay ratio $ \Gamma_{{\gamma\Lambda}}^{}$/ $ \Gamma_{{\gamma \Sigma^{0}}}^{}$ . A measurement of the ratio would, thus, provide direct access to the nature of the $ \Lambda$(1670) . To compare the result for the $ \Lambda$(1670) , we calculate the helicity amplitudes A for the two states of the $ \Lambda$(1405) . Also, the analytic continuation of Feynman parameterized integrals of more complicated loop amplitudes to the complex plane is developed which allows for an internally consistent evaluation of A .
- Subjects
HELICITY of nuclear particles; RESONANCE; RADIOACTIVE decay; BARYONS; CHIRALITY of nuclear particles
- Publication
European Physical Journal A -- Hadrons & Nuclei, 2010, Vol 45, Issue 3, p319
- ISSN
1434-6001
- Publication type
Article
- DOI
10.1140/epja/i2010-11015-0