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- W2335878502 abstract "The forward Compton scattering off the proton is determined by substituting the empirical total photoabsorption cross sections into dispersive sum rules. In addition to the spin-independent amplitude evaluated previously [Phys. Rev. D 92, 074031 (2015)], we obtain the spin-dependent amplitude over a broad energy range. The two amplitudes contain all the information about the forward CS process and we hence can reconstruct the observables. The results are compared with predictions of chiral perturbation theory where available. The low-energy expansion of the spin-dependent Compton scattering amplitude yields the Gerasimov-Drell-Hearn (GDH) sum rule and relations for the forward spin polarizabilities (FSPs) of the proton. Our evaluation provides an empirical verification of the GDH sum rule for the proton and yields empirical values of the proton FSPs. For the GDH integral, we obtain $204.5(21.4)text{ }text{ }ensuremath{mu}mathrm{b}$, in agreement with the sum rule prediction: $204.784481(4)text{ }ensuremath{mu}mathrm{b}$. For the FSPs, we obtain ${ensuremath{gamma}}_{0}=ensuremath{-}92.9(10.5)ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}6}text{ }text{ }{mathrm{fm}}^{4}$ and $overline{{ensuremath{gamma}}_{0}}=48.4(8.2)ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}6}text{ }text{ }{mathrm{fm}}^{6}$, improving on the accuracy of previous evaluations." @default.
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- W2335878502 date "2016-08-31" @default.
- W2335878502 modified "2023-09-30" @default.
- W2335878502 title "Evaluation of the forward Compton scattering off protons. II. Spin-dependent amplitude and observables" @default.
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- W2335878502 doi "https://doi.org/10.1103/physrevd.94.034043" @default.
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