Abstract
A conjectured finite-energy sum rule is evaluated for deep-inelastic electron—proton scattering. The possibility that the sum rule is satisfied locally is also examined.
Резюме
Предложено правило сумм конечных энергий для глубоко неупругого рассеяния электронов на протонах. Рассматривается возможность локального выполнения этого правила сумм.
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References
R. Dolen, D. Horn andC. Schmid, Phys. Rev.,166, 1768, 1968. For a recent application to forward real photon scattering, seeM. Damashek andF. Gilman, Phys. Rev.,10, 1819, 1970. A corresponding sum rule for virtual photons has been suggested byHarari, Phys. Rev. Letters,22, 1078, 1969.
H. Leutwyler andJ. Stern, CERN Report TH. 1135, Feb. (1970). We consider in this note only the special case of Eq. (12) with ξ=0.
V. Gupta andRajasekaran, preprint submitted to the XVth International Conference on High Energy Physics, Kiev, 1970.
E. Bloom andF. Gilman, SLAC-Pub. 779. The finite energy sum rule in this paper corre ponds to Eq. (2) with ω substituted by ω1 = ω +m 2/q 2, wherem 2 is an adjustable parameter.
J. Bjorken, Phys. Rev.,179, 1547, 1969.
E. D. Bloom et al., Phys. Rev. Letters,23, 930, 1969.R. Taylor, Proceedings of the International Symposium on Electron and Photon Interactions at High Energies, Liverpool, England. 1969.
M. Breidenbach, Massachusetts Institute of Technology, Ph. D. Thesis, 1970.
For a discussion of this parametization, seeM. Nauenberg, Phys. Rev. Letters,24, 625 1970.
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Research supported by a grant from the National Science Foundation.
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Nauenberg, M. Finite energy sum rules and scaling. Acta Physica 31, 51–54 (1972). https://doi.org/10.1007/BF03156828
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DOI: https://doi.org/10.1007/BF03156828