Radiative Corrections to Elastic and Inelastic <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ep</mi></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>up</mi></math></span> Scattering

L. W. MO; Y. S. TSAI

doi:10.1103/RevModPhys.41.205

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Radiative Corrections to Elastic and Inelastic $ep$ and $up$ Scattering

L. W. MO and Y. S. TSAI

Stanford Linear Accelerator Center, Stanford University, Stanford, California

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Rev. Mod. Phys. 41, 205 – Published 1 January, 1969

DOI: https://doi.org/10.1103/RevModPhys.41.205

Abstract

We have investigated and improved the reliability of many formulas used in the radiative corrections to elastic and inelastic electron scatterings when only the scattered electrons are detected. The radiative corrections to muon scattering are also investigated. A practical and reliable recipe for unfolding the entire inelastic spectra, including effects due to virtual photons, internal and external bremsstrahlungs, is given. Examples of actually unfolding the inelastic electron spectra are given using the experimental data obtained by the electron-scattering group at the Stanford Linear Accelerator Center.

References (34)

J. D. Bjorken, Phys. Rev. 163, 1767 (1967)
Y. Nambu and E. Shrauner, Phys. Rev. 128, 862 (1962) S. L. Adler and F. J. Gilman, ibid. 152, 1460 (1966)
A. A. Cone, K. W. Chen, J. R. Dunning, Jr., G. Hartwig N. F. Ramsey, J. K. Walker, and R. Wilson, Phys. Rev. 156, 1490 (1967)
F. W. Brasse, J. Engler, E. Ganssauge, and M. Schweizer, Abstract 238, presented at Heidelberg International Conference on Elementary Particles, 20-27 September 1967 W. K. H. Panofsky, Rapporteur's talk in the same conference
L. I. Schiff, Phys. Rev. 87, 750 (1952)
L. N. Hand, Phys. Rev. 129, 1834 (1963)
E. A. Allton, Phys. Rev. 135, B570 (1964)
J. D. Bjorken, Ann. Phys. (N.Y.) 24, 201 (1963)
J. P. Perez-y-Jorba, J. Phys. Radium 22, 733 (1961)
H. Hguyen-Ngoc and J. P. Perez-y-Jorba, Phys. Rev. 136, B1036 (1964)
N. T. Meister and T. A. Griffy, Phys. Rev. 133, B1032 (1964)
L. C. Maximon and D. B. Isabelle, Phys. Rev. 133, B1344 (1964)
Y. S. Tsai, Proceedings of Nucleon Structure Conference at Stanford (1963), R. Hofstadter and L. I. Schiff, Eds. (Stanford University Press, Stanford, Calif., 1964), p. 221
Y. S. Tsai, Phys. Rev. 122, 1898 (1961)
N. T. Meister and D. R. Yennie, Phys. 130, 1210 (1963)
A. J. Dufner and Y. S. Tsai, Phys. Rev. 168, 1801 (1968)
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L. Hand (Ref. 6) Refs. 6 and 7
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[c1] J. D. Bjorken, Phys. Rev. 163, 1767 (1967)

[c2] Y. Nambu and E. Shrauner, Phys. Rev. 128, 862 (1962) S. L. Adler and F. J. Gilman, ibid. 152, 1460 (1966)

[c3] A. A. Cone, K. W. Chen, J. R. Dunning, Jr., G. Hartwig N. F. Ramsey, J. K. Walker, and R. Wilson, Phys. Rev. 156, 1490 (1967)

[c4] F. W. Brasse, J. Engler, E. Ganssauge, and M. Schweizer, Abstract 238, presented at Heidelberg International Conference on Elementary Particles, 20-27 September 1967 W. K. H. Panofsky, Rapporteur's talk in the same conference

[c5] L. I. Schiff, Phys. Rev. 87, 750 (1952)

[c6] L. N. Hand, Phys. Rev. 129, 1834 (1963)

[c7] E. A. Allton, Phys. Rev. 135, B570 (1964)

[c8] J. D. Bjorken, Ann. Phys. (N.Y.) 24, 201 (1963)

[c9] J. P. Perez-y-Jorba, J. Phys. Radium 22, 733 (1961)

[c10] H. Hguyen-Ngoc and J. P. Perez-y-Jorba, Phys. Rev. 136, B1036 (1964)

[c11] N. T. Meister and T. A. Griffy, Phys. Rev. 133, B1032 (1964)

[c12] L. C. Maximon and D. B. Isabelle, Phys. Rev. 133, B1344 (1964)

[c13] Y. S. Tsai, Proceedings of Nucleon Structure Conference at Stanford (1963), R. Hofstadter and L. I. Schiff, Eds. (Stanford University Press, Stanford, Calif., 1964), p. 221

[c14] Y. S. Tsai, Phys. Rev. 122, 1898 (1961)

[c15] N. T. Meister and D. R. Yennie, Phys. 130, 1210 (1963)

[c16] A. J. Dufner and Y. S. Tsai, Phys. Rev. 168, 1801 (1968)

[c17] J. Schwinger, Phys. Rev. 76, 760 (1949) G. Källen, in Hnadbuch der Physik, S. Flügge, Ed. (Springer-Verlag, Berlin, 1958), Vol. 5, Pt. 1, p. 169

[c18] D. R. Yennie and H. Suura, Phys. Rev. 105, 1378 (1957)

[c19] D. R. Yennie, S. Frautschi, and H. Suura, Ann. Phys. (N.Y.) 13, 379 (1961)

[c20] K. Mitchell, Phil. Mag 40, 351 (1949)

[c21] Footnote 21 of Ref. 14

[c22] Y. S. Tsai, Phys. Rev. 120, 269 (1960)

[c23] K. E. Erickson, Nuovo Cimento 19, 1029 (1961) Errata in 21, 383 (1961)

[c24] T. Janssens, R. Hofstadter, E. B. Hughes, and M. R. Yearian, Phys. Rev. 142, 922 (1966) M. Goitein, R. J. Budnitz, L. Carroll, J. Chen, J. R. Dunning, Jr., K. Hanson, D. Imrie, C. Mistretta, J. K. Walker, Richard Wilson, G. F. Dell, M. Fotino, J. M. Peterson, and H. Winick, Phys. Rev. Letters 18, 1016 (1967) W. Bartel, B. Dudelzak, H. Krehbiel, J. M. McElroy, U. Meyer-Berkout, R. J. Morrison, H. Nguyen-Ngoc, W. Schmidt, and G. Weber, ibid. 17, 608 (1966) W. Albrecht, H.-J. Behrend, H. Dorner, W. Flauger, and H. Hultschig, ibid. 18, 1014 (1967) D. H. Coward, H. DeStaebler, R. A. Early, J. Litt, A. Minten, L. W. Mo, W. K. H. Panofsky, R. E. Taylor, M. Breidenbach, J. I. Friedman, H. W. Kendall, P. N. Kirk, B. C. Barish, J. Mar, and J. Pine, ibid. 20, 292 (1968)

[c25] L. Hand (Ref. 6) Refs. 6 and 7

[c26] E. D. Bloom, D. H. Coward, H. DeStaebler, J. Dress, J. Litt, G. Miller, L. W. Mo, R. E. Taylor, M. Breidenbach, J. I. Friedman. G. C. Hartmann, H. K. Kendall, and S. C. Loken, Proceedings of the International Conference on High Energy Physics, Vienna, 1968, J. Prentki and J. Steinberger, Eds. (CERN, Scientific Information Service, Geneva, 1968), Contributed Paper No. 563 W. K. H. Panofsky, Proceedings of the International Conference on High Energy Physics, Vienna, 1968CERN, Scientific Information Service, Geneva, p. 23

[c27] H. A. Bethe and W. Heitler, Proc. Roy. Soc. (London), A146, 83 (1934) W. Heitler, The Quantum Theory of Radiation (Oxford University Press, London, 1954); 3rd ed., Eq. 15, p. 378

[c28] L. Eyges, Phys. Rev. 76, 264 (1949)

[c29] Y. S. Tsai and V. Whitis, Phys. Rev. 149, 1248 (1966)

[c30] H. A. Bethe and J. Ashkin, in Experimental Nuclear Physics, E. Segre, Ed. (John Wiley & Sons, Inc., New York, 1953), p. 265

[c31] L. I. Schiff, Phys. Rev. 87, 750 (1952)

[c32] W. Heitler, The Quantum Theory of Radiation (Oxford University Press, London, 1954); 3rd ed., p. 244

[c33] R. A. Berg and C. N. Lindner [Phys. Rev. 112, 2072 (1958)] E. S. Ginsberg and R. H. Pratt [ 134, B773 (1964) ibid.137, B1500 (1965)] Ref. 13 and our Appendix B

[c34] L. C. Maximon and C. Tzara, Phys. Letters 26B, 201 (1968)

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Radiative Corrections to Elastic and Inelastic $ep$ and $up$ Scattering

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Radiative Corrections to Elastic and Inelastic ep and up Scattering

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References (34)

Radiative Corrections to Elastic and Inelastic $ep$ and $up$ Scattering