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Pion Polarizabilities from $\gamma\gamma\to\pi\pi$ Analysis · Around

2016

Pion Polarizabilities from $\gamma\gamma\to\pi\pi$ Analysis

Dai, Ling-Yun, Pennington, Michael R.

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We present results for pion polarizabilities predicted using dispersion relations from our earlier Amplitude Analysis of world data on two photon production of meson pairs.

The helicity-zero polarizabilities are rather stable and insensitive to uncertainties in cross-channel exchanges.
The need is first to confirm the recent result on $(\alpha_1-\beta_1)$ for the charged pion by COMPASS at CERN to an accuracy of 10\% by measuring the $\gamma\gamma\to\pi^+\pi^-$ cross-section to an uncertainty of ~1\%.
Then the same polarizability, but for the $\pi^0$, is fixed to be $(\alpha_1-\beta_1)_{\pi^0}=(-0.9\pm0.2)\times 10^{-4}$ fm$^{3}$.

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