Contribution of Elastic Intermediate States to Polarization of the Recoil Proton in Elastic Electron-Proton Scattering

A. J. G. Hey

doi:10.1103/PhysRevD.3.1252

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Contribution of Elastic Intermediate States to Polarization of the Recoil Proton in Elastic Electron-Proton Scattering

A. J. G. Hey^*

Department of Theoretical Physics, University of Oxford, Oxford, England

^*Now at the California Institute of Technology, Pasadena, Calif. 91109.

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Phys. Rev. D 3, 1252 – Published 1 March, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.1252

Abstract

The polarization of the recoil proton in the elastic scattering of unpolarized electrons and protons is calculated to order $α^{3}$ , retaining only the elastic intermediate state in the unitarity sum that occurs. The result is therefore expected to correspond closely to the physical situation for electron laboratory energies up to the region where pion production becomes important. Using the "dipole fit" for the proton form factors $G_{E}$ and $G_{M}$ , the maximum value of the polarization is found to be ∼0.03% for electron energies below 400 MeV. Above 10 GeV, the maximum elastic effect is ∼1%.

References (32)

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[c1] S. D. Drell and M. A. Ruderman, Phys. Rev. 106, 561 (1957)

[c2] S. D. Drell and S. Fubini, Phys. Rev. 113, 741 (1959)

[c3] N. R. Werthamer and M. A. Ruderman, Phys. Rev. 123, 1005 (1961)

[c4] D. Flamm and W. Kummer, Nuovo Cimento 28, 33 (1963)

[c5] F. Guerin and C. A. Piketty, Nuovo Cimento 32, 971 (1964)

[c6] S. D. Drell and J. D. Sullivan, Phys. Letters 19, 516 (1965)

[c7] G. K. Greenhut, Phys. Rev. 184, 1860 (1969)

[c8] J. Harte, Phys. Rev. 171, 1832 (1968)

[c9] A. O. Barut and C. Fronsdal, Phys. Rev. 120, 1871 (1960)

[c10] J. Arafune and Y. Shimizu, Phys. Rev. D 1, 3094 (1970)

[c11] R. H. Dalitz, Proc. Phys. Soc. (London) A65, 175 (1952) L. Wolfenstein and H. Ashkin, Phys. Rev. 85, 947 (1952)

[c12] S. M. Bilen'kii and V. B. Semikoz, Yadern. Fiz. 7, 107 (1968) [Soviet J. Nucl. Phys. 7, 79 (1968)]

[c13] T. Powell et al., Phys. Rev. Letters 24, 753 (1970)

[c14] J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964)

[c15] B. H. Kellett, Nuovo Cimento 56A, 1003 (1968)

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[c17] [14], p. 245

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[c20] [9]

[c21] H. Burkhardt, Dispersion Relation Dynamics (North-Holland, Amsterdam, 1969)

[c22] ([5])

[c23] ([24])

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[c27] [9]

[c28] H. C. Kirkmann et al., Phys. Letters 32B, 519 (1970)

[c29] [32]

[c30] F. J. Gilman, in [18]

[c31] E. D. Bloom and F. J. Gilman [Phys. Rev. Letters 25, 1140 (1970)]

[c32] A. J. G. Hey, D. Phil. thesis, Oxford, 1970 (unpublished)

Physical Review D

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Contribution of Elastic Intermediate States to Polarization of the Recoil Proton in Elastic Electron-Proton Scattering

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