$π^+$ and $π^0$ Polarizabilities from {$γγ\rightarrowππ$} Data on the Base of S-Matrix Approach

Details $π^+$ and $π^0$ Polarizabilities from {$γγ\rightarrowππ$} Data on the Base of S-Matrix Approach $π^+$ and $π^0$ Polarizabilities from {$γγ\rightarrowππ$} Data on the Base of S-Matrix Approach

1993-06-04

arxiv.org/abs/hep-ph/9306224v1

Z.Phys. C64 (1994) 689-694

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 14 pages plus 6 figures (not included, available upon request) , ISU-IAP.Th93-03, Irkutsk

Scientific paper

We suggest the most model-independent and simple description of the $\gamma\gamma\rightarrow\pi\pi$ process near threshold in framework of S-matrix approach. The amplitudes contain the pion polarizabilities and rather restricted information about $\pi \pi$ interaction. Application of these formulae for description of MARK-II \cite{M2} and Crystal Ball \cite{CB} data gives: $(\alpha-\beta)^{C}=(6.0\pm 1.2)\cdot 10^{-42} {\rm cm}^{3}$, $(\alpha-\beta)^{N}=(-1.4\pm 2.1)\cdot 10^{-42} cm^3$ (in units system $e^2 = 4 \pi \alpha$) at the experimental values of $\pi \pi$ scattering lengths. Both values are compartible with current algebra predictions.

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