${\pi }^{+}$ and ${\pi }^0$ Polarizabilities from {$\gamma \gamma \to \pi \pi$} Data on the Base of S-Matrix Approach

Abstract

We suggest the most model-independent and simple description of the $\gamma \gamma \to \pi \pi$ 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: $(\alpha -\beta {)}^C=(6.0\pm 1.2)\cdot 10^{-42}{\mathrm{cm}}^3$, $(\alpha -\beta {)}^N=(-1.4\pm 2.1)\cdot 10^{-42}c{m}^3$ (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.

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

Cited by in corpus (16)

• Charged Pion-Pair Production and Pion Polarizabilities to two Loops
• Revisiting γγ->π^+π^- at low energies
• Polarizability of the Nucleon and Compton Scattering
• Measurement of the pi^+ meson polarizabilities via the gamma p->gamma pi^+ n reaction
• Charged Pion Polarizabilities to two Loops
• Determination of ${\pi }^{+}-$ meson polarizabilities from the $\gamma \gamma ->{\pi }^{+}{\pi }^{-}$ process
• The polarizability of the pion: no conflict between dispersion theory and chiral perturbation theory
• Determination of π^0 meson quadrupole polarizabilities from the process γγ-> π^0π^0
• Generalized polarizabilities of the pion in chiral perturbation theory
• Meson Form Factors and the Quark-Level Linear Sigma Model
• Dispersion theory of nucleon Compton scattering and polarizabilities
• Compton Scattering off Pions and Electromagnetic Polarizabilities
• Dipole polarizabilities of charged pions
• The lowest resonance in QCD from low--energy data
• Pion polarizabilities: Theory vs Experiment
• Dipole Polarizabilities of ${\pi }^{\pm }$-Mesons