Journal Article FZJ-2017-00457

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Pion polarizabilities from a γ γ → π π analysis

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2016
Inst. Woodbury, NY

Physical review / D 94(11), 116021 () [10.1103/PhysRevD.94.116021]

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Abstract: 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 (α1−β1) for the charged pion by COMPASS at CERN to an accuracy of 10% by measuring the γγ→π+π− cross section to an uncertainty of 1%. Then the same polarizability, but for π0, is fixed to be (α1−β1)π0=(0.9±0.2)×10−4  fm3. By analyzing the correlation between uncertainties in the meson polarizability and those in γγ cross sections, we suggest experiments need to measure these cross sections between √s≃350 and 600 MeV. The π0π0 cross section then makes the (α2−β2)π0 the easiest helicity-two polarizability to determine.

Classification:

Contributing Institute(s):
  1. Theorie der Starken Wechselwirkung (IAS-4)
  2. Theorie der starken Wechselwirkung (IKP-3)
Research Program(s):
  1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
  2. 531 - Condensed Matter and Molecular Building Blocks (POF3-531) (POF3-531)

Appears in the scientific report 2016
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 Record created 2017-01-16, last modified 2024-06-10