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The pi pi scattering amplitude and the Sigma pole
- 1.0458162 - ÚJF 2016 RIV PL eng C - Conference Paper (international conference)
Bydžovský, Petr - Kaminski, R. - Nazari, V.
The pi pi scattering amplitude and the Sigma pole.
Acta Physica Polonica B - Proceedings Supplement. Vol. 8. Krakow: Jagellonian University, 2015, s. 377-382. ISSN 1899-2358.
[Excited QCD 2015. Tatranská Lomnica (SK), 08.03.2015-14.03.2015]
R&D Projects: GA ČR(CZ) GA15-04301S
Institutional support: RVO:61389005
Keywords : pion-pion scattering * coupled channel * amplitudes
Subject RIV: BE - Theoretical Physics
The multichannel amplitudes used in the analysis of the pi pi-scattering data and in the description of final-state interaction effects in heavy-meson decays predict too broad and heavy Sigma meson (f0(500) resonance) which is in disagreement with results from other, especially recent, analyses. The amplitudes are constructed using a uniformizing variable and proper analytical continuation of the S-matrix elements but the crossing symmetry constraint, important in the S-wave, is not included. We modified, therefore, the amplitudes using the dispersion relations with imposed crossing symmetry (GKPY equations). We also examined the multichannel formalism comparing the single- and two-channel analyses of the pi pi-scattering data. After the modification and in the single-channel analysis, the Sigma pole acquired values within the limits accepted in the Particle Data Tables.
Permanent Link: http://hdl.handle.net/11104/0258447
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