Forward Proton Compton Scattering and Continuous Dispersion Sum Rules

Yu-Chien Liu; Ian J. McGee

doi:10.1103/PhysRevD.2.166

Access by Xinjiang University

Forward Proton Compton Scattering and Continuous Dispersion Sum Rules

Yu-Chien Liu and Ian J. McGee

Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada

PDF

Phys. Rev. D 2, 166 – Published 1 July, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.166

Abstract

The new invariant amplitudes of Bardeen and Tung for nucleon Compton scattering, which are free of both kinematic singularities and zeros, and zeros, are examined. The forward scattering amplitude, and the continuous-dispersion sum rules derived therefrom, are obtained. Using the data of a recent calculation by Damashek and Gilman, tests of these sum rules are shown to be quite satisfactory, indicating the validity of the dispersion relation, the good parametrization of the forward proton Compton scattering amplitude, and the presence of a $J = 0$ fixed pole within the accuracy of present experiment.

References (22)

M. Gell-Mann, M. L. Goldberger, and W. Thirring, Phys. Rev. 95, 1612 (1954)
R. Köberle, Phys. Rev. 166, 1558 (1968) P. S. Baranov, L. V. Fil'kov, and G. A. Sokol, Fortschr. Physik 16, 595 (1968) G. C. Fox and D. Z. Freedman, Phys. Rev. 182, 1628 (1969)
M. Damashek and F. J. Gilman, Phys. Rev. D 1, 1319 (1970)
S. J. Brodsky, A. C. Hearn, and R. G. Parsons, Phys. Rev. 187, 1899 (1969)
R. E. Prange, Phys. Rev. 110, 240 (1958)
L. I. Lapidus and C. Kuang-Chao, Zh. Eksperim. i Teor. Fiz. 37, 1714 (1959) [Soviet Phys. JETP 10, 1213 (1960)]
A. C. Hearn and E. Leader, Phys. Rev. 126, 789 (1962)
W. A. Bardeen and Wu-Ki Tung, Phys. Rev. 173, 1423 (1968)
D. Holliday, Ann. Phys. (N. Y.) 24, 289 (1963)
M. J. Creutz, S. D. Drell, and E. A. Paschos, Phys. Rev. 178, 2300 (1969)
Omitted endnote
P. Ader, M. Capdeville, and H. Navelet, Nuovo Cimento 56A, 315 (1968)
H. D. I. Abarbanel and M. L. Goldberger [Phys. Rev. 165, 1594 (1968)] [8]
Omitted endnote
Omitted endnote
E. Ferrari and G. Violini, Phys. Letters 28B, 684 (1969)
Y. C. Liu and S. Okubo, Phys. Rev. Letters 19, 190 (1967) Y. C. Liu and I. J. McGee, Phys. Rev. D 1, 3123 (1970)
Omitted endnote
Y.-C. Liu and S. Okubo, Phys. Rev. 168, 1712 (1968) M. G. Olsson, Phys. Letters 26B, 310 (1968)
W. Gilbert, Phys. Rev. 108, 1078 (1957) [17]
Omitted endnote
[16]

[c1] M. Gell-Mann, M. L. Goldberger, and W. Thirring, Phys. Rev. 95, 1612 (1954)

[c2] R. Köberle, Phys. Rev. 166, 1558 (1968) P. S. Baranov, L. V. Fil'kov, and G. A. Sokol, Fortschr. Physik 16, 595 (1968) G. C. Fox and D. Z. Freedman, Phys. Rev. 182, 1628 (1969)

[c3] M. Damashek and F. J. Gilman, Phys. Rev. D 1, 1319 (1970)

[c4] S. J. Brodsky, A. C. Hearn, and R. G. Parsons, Phys. Rev. 187, 1899 (1969)

[c5] R. E. Prange, Phys. Rev. 110, 240 (1958)

[c6] L. I. Lapidus and C. Kuang-Chao, Zh. Eksperim. i Teor. Fiz. 37, 1714 (1959) [Soviet Phys. JETP 10, 1213 (1960)]

[c7] A. C. Hearn and E. Leader, Phys. Rev. 126, 789 (1962)

[c8] W. A. Bardeen and Wu-Ki Tung, Phys. Rev. 173, 1423 (1968)

[c9] D. Holliday, Ann. Phys. (N. Y.) 24, 289 (1963)

[c10] M. J. Creutz, S. D. Drell, and E. A. Paschos, Phys. Rev. 178, 2300 (1969)

[c11] Omitted endnote

[c12] P. Ader, M. Capdeville, and H. Navelet, Nuovo Cimento 56A, 315 (1968)

[c13] H. D. I. Abarbanel and M. L. Goldberger [Phys. Rev. 165, 1594 (1968)] [8]

[c14] Omitted endnote

[c15] Omitted endnote

[c16] E. Ferrari and G. Violini, Phys. Letters 28B, 684 (1969)

[c17] Y. C. Liu and S. Okubo, Phys. Rev. Letters 19, 190 (1967) Y. C. Liu and I. J. McGee, Phys. Rev. D 1, 3123 (1970)

[c18] Omitted endnote

[c19] Y.-C. Liu and S. Okubo, Phys. Rev. 168, 1712 (1968) M. G. Olsson, Phys. Letters 26B, 310 (1968)

[c20] W. Gilbert, Phys. Rev. 108, 1078 (1957) [17]

[c21] Omitted endnote

[c22] [16]

Physical Review D

Export citation

Export citation

Forward Proton Compton Scattering and Continuous Dispersion Sum Rules

Abstract

References (22)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation