Measurement of the Electric and Magnetic Polarizabilities of the Proton
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The Compton scattering cross section on the proton has been measured at laboratory angles of 90$^\circ$ and 135$^\circ$ using tagged photons in the energy range 70--100 MeV and simultaneously using untagged photons in the range 100--148~MeV. With the aid of dispersion relations, these cross sections were used to extract the electric and magnetic polarizabilities, $\barα$ and $\barβ$ respectively, of the proton. We find
$$\barα+\barβ =
( 15.0 \pm 2.9 \pm 1.1 \pm 0.4 ) \times 10^{-4} \: {\rm fm}^3,$$
in agreement with a model-independent dispersion sum rule, and
$$\barα-\barβ =
( 10.8 \pm 1.1 \pm 1.4 \pm 1.0 ) \times 10^{-4} \: {\rm fm}^3,$$
where the errors shown are statistical, systematic, and model-dependent, respectively. A comparison with previous experiments is given and global values for the polarizabilities are extracted.
35 pages, 11 PostScript figures, uses RevTex 3.0
35 pages, 11 PostScript figures, uses RevTex 3.0