Bremsstrahlung in Coulomb Field—An Exact Regge-Multiperipheral Production Amplitude

C. Fronsdal; L.-E. Lundberg

doi:10.1103/PhysRevD.3.524

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Bremsstrahlung in Coulomb Field—An Exact Regge-Multiperipheral Production Amplitude

C. Fronsdal^* and L.-E. Lundberg^†

International Centre for Theoretical Physics, Miramare-Trieste, Italy

^*On leave of absence from University of California, Los Angeles, Calif. 90024.
^†On leave of absence from Umea University, Sweden.

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Phys. Rev. D 3, 524 – Published 15 January, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.524

Abstract

The exact matrix elements for Coulomb scattering, photoeffect, and bremsstrahlung in a Coulomb field are obtained by means of a very simple algebraic calculation. The method is closely related to current ideas on elementary particle physics, and Regge poles are particularly relevant in all three processes. Bremsstrahlung in a Coulomb field is a production amplitude that is given in its entirety by the contribution of a Reggeized multiperipheral diagram. Each internal line carries one value $ν (E)$ of the Reggeized principal quantum number $n$ , or, equivalently, an infinite set of ordinary Regge poles with $α (E) = ν - 1, ν - 2, \dots$ . This circumstance may be exploited to learn something about the Reggeon-Reggeon-particle vertex.

References (13)

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Omitted endnote
Omitted endnote
M. Bander and C. Itzykson, Rev. Mod. Phys. 38, 330 (1966)
[9]
Omitted endnote

[c1] T. W. B. Kibble, Phys. Rev. 131, 2282 (1963)

[c2] H.-M. Chan, K. Kajantie, and G. Ranft, Nuovo Cimento 49, 157 (1967) R. Lipes, G. Zweig, and W. Robertson, Phys. Rev. Letters 22, 433 (1969) I. T. Drummond, P. V. Landshoff, and W. J. Zakrzewski, Nucl. Phys. B11, 383 (1969)

[c3] R. J. Finkelstein and D. Levy, J. Math. Phys. 8, 2147 (1967) V. Singh, Phys. Rev. 127, 632 (1962)

[c4] C. Fronsdal, Phys. Rev. 179, 1513 (1969)

[c5] W. Ford, Phys. Rev. 133, 1616 (1964)

[c6] A. Sommerfeld, Atombau and Spektrallinien (Vieweg & Sohn, Braunschweig, West Germany, 1960), Vol. II

[c7] J. Schwinger, J. Math. Phys. 5, 1606 (1964)

[c8] A. O. Barut and H. Kleinert, Phys. Rev. 160, 1149 (1967)

[c9] Omitted endnote

[c10] Omitted endnote

[c11] M. Bander and C. Itzykson, Rev. Mod. Phys. 38, 330 (1966)

[c12] [9]

[c13] Omitted endnote

Physical Review D

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Bremsstrahlung in Coulomb Field—An Exact Regge-Multiperipheral Production Amplitude

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References (13)

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