| Issue |
EPJ Web of Conferences
Volume 81, 2014
MESON 2014 – 13th International Workshop on Production, Properties and Interaction of Mesons
|
|
|---|---|---|
| Article Number | 05016 | |
| Number of page(s) | 3 | |
| Section | Theory - contributions | |
| DOI | https://doi.org/10.1051/epjconf/20148105016 | |
| Published online | 26 November 2014 | |
https://doi.org/10.1051/epjconf/20148105016
Simple trigonometric proof for the new parameters of the sigma meson
Henryk Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, 31-342, Kraków, Poland
a e-mail: robert.kaminski@ifj.edu.pl
Published online: 26 November 2014
Correctness of the results obtained in the recent analysis of the ππ interactions using new dispersion relations with imposed crossing symmetry condition is checked. The performed proof is based on purely mathematical relations and properties of analytic functions and concerns position of the scalar-isoscalar ƒ0(500) (former σ) pole. Mere analysis of amplitudes expressed by the trigonometric functions and their derivatives clearly defines the area in which mass of the σ and its width must be located.
© Owned by the authors, published by EDP Sciences, 2014
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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