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Dispersion inequalities for forward Compton scattering
Phys. Rev. D 10, 357 – Published 1 July, 1974
DOI: https://doi.org/10.1103/PhysRevD.10.357
Abstract
Using the analyticity and crossing properties of the amplitudes in conjunction with the low-energy theorems, dispersion inequalities involving integrals of the forward Compton-scattering differential cross sections for photons polarized parallel and antiparallel to the proton spin are established. In particular, a set of two coupled inequalities shows that these cross sections in the energy region from zero up to the threshold of photoproducing a single pion are severely restricted by integrals over their values above this threshold. The results obtained are model-independent and optimal with respect to the information taken as known.
References (6)
- S. Okubo, invited paper, 1972 Coral Gables Conference on Fundamental Interactions at High Energy [Univ. of Rochester Report No. COO-3065-1 (unpublished)]
- E. E. Radescu, Phys. Rev. D 5, 135 (1972)
- E. E. Radescu, Phys. Rev. D 8, 513 (1973) M. Creutz, 6, 3533 (1972) V. Baluni and O. V. Dumbrais, Nucl. Phys. B51, 289 (1973)
- M. Damashek and F. J. Gilman, Phys. Rev. D 1, 1319 (1970)
- M. Gell-Mann and M. L. Goldberger, Phys. Rev. 96, 1433 (1954) F. Low, ibid. 96, 1428 (1954)
- S. Okubo, Prog. Theor. Phys. 48, 1986 (1972)