The pi pi scattering amplitude and the Sigma pole

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F15%3A00458162" target="_blank" >RIV/61389005:_____/15:00458162 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.5506/APhysPolBSupp.8.377" target="_blank" >http://dx.doi.org/10.5506/APhysPolBSupp.8.377</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5506/APhysPolBSupp.8.377" target="_blank" >10.5506/APhysPolBSupp.8.377</a>

Result language
angličtina
Original language name
The pi pi scattering amplitude and the Sigma pole
Original language description
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.
Czech name
—
Czech description
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Project
<a href="/en/project/GA15-04301S" target="_blank" >GA15-04301S: Interactions of hadrons with nucleons and nuclei</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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