Comment on "Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory"

Details Comment on "Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory" Comment on "Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory"

2008-05-29

arxiv.org/abs/0805.4486v2

Phys. Rev. C 81, 029801 (2010)

Physics

High Energy Physics

High Energy Physics - Phenomenology

3 pages, final version appeared in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.81.029801

The statement of the authors of the article Phys. Rev. C 77, 065211 (2008) that spurious singularities occur in the dispersion relation approach, where imaginary parts of the amplitudes of the process \gamma\gamma->\pi\pi are saturated by the contributions of meson resonances by using Breit-Wigner expressions, is analyzed. It is shown that there are no any additional singularities in this approach and the disagreement between the predictions of the dispersion relations and the chiral perturbation theory for (\alpha_1-\beta_1)_\pi^{\pm} remains.

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