8–14 Mar 2015
Tatranska Lomnica, Slovakia
Europe/Bratislava timezone

The $\pi\pi$ scattering amplitude and the $\sigma$ meson

10 Mar 2015, 17:00
25m
Tatranska Lomnica, Slovakia

Tatranska Lomnica, Slovakia

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Speaker

Petr Bydzovsky (Nuclear Physics Institute AS CR)

Description

We constructed the multichannel $\pi\pi$ amplitudes in the S- and P-waves which satisfactorily describe the $\pi\pi$ scattering data [1]. In the construction we have utilized the uniformizing variable and formulas for analytical continuation of the S-matrix elements to all sheets of the Riemann surface but we did not fully include the constraint on the crossing symmetry which is especially important in the S wave. We modified, therefore, the amplitudes using the once-subtracted dispersion relations with imposed crossing symmetry (the GKPY equations [2]) to get amplitudes consistent also with the crossing symmetry [3]. The most pronounced changes of parameters of the amplitudes due to the modification will be presented and discussed, particularly a position of the $\sigma$-meson pole (the f$_0$(500) resonance). 1. Yu.S. Surovtsev, P. Byd\v{z}ovsk\'y, R. Kami\'nski, M. Nagy:\\ \hspace*{4mm} Phys. Rev. D 81 (2010) 016001.\\ 2. R. Garc\'{\i}a-Mart\'{\i}n, R. Kami\'nski, J.R. Pel\'aez, J. Ruiz de Elvira, F.J. Yndur\'ain:\\ \hspace*{4mm} Phys. Rev. D 83 (2011) 074004.\\ 3. P. Byd\v{z}ovsk\'y, R. Kami\'nski, V. Nazari:\\ \hspace*{4mm} Phys. Rev. D 90 (2014) 116005.

Primary author

Petr Bydzovsky (Nuclear Physics Institute AS CR)

Co-authors

Dr Robert Kaminski (Institute of Nuclear Physics, Polish Academy of Sciences, Krakow, Poland) Mr Vahabeddin Nazari (Institute of Nuclear Physics PAN, Cracow)

Presentation materials