Abstract
The Bethe–Salpeter (BS) equation for the imaginary part of the scattering amplitude is examined in the ladder approximation of scalar quantum electrodynamics (QED). Asymptotic solutions of the BS equation derived for the imaginary part of the scattering amplitude are shown to exhibit the Regge amplitude behavior for small momentum transfer and scattering in the forward direction and at arbitrary angles.
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REFERENCES
D. Amati, A. Stanghelini, and S. Fubini, Nuovo Cimento, 25, 4726 (1967).
B. A. Arbuzov and V. E. Rochev, Yad. Fiz., 21, 883 (1975).
K. G. Klimenko and V. E. Rochev, Teor. Mat. Fiz., 30,No. 2, 191 (1977).
B. A. Arbuzov, V. Yu. D'yakonov, and V. E. Rochev, Yad. Fiz., 23, 904 (1976).
V. Yu. D'yakonov, Teor. Mat. Fiz., 43,No. 2, 218 (1980).
S. A. Hadjiev and R. K. Jafarov, Kratkie Soobshch. Fiz. FIAN SSSR, No. 11, 25 (1986).
S. A. Hadjiev, R. K. Jafarov, and A. I. Livashvili, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 49 (1989).
S. A. Hadjiev and R. G. Jafarov, Mod. Phys. Lett., No. 1 (ICTP Int. Rep. IC/92/326).
H. Bateman and A. Erdelyi, Higher Transcendental Functions. Vol. 1 [Russian translation], Nauka, Moscow (1973).
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Hadjiev, S.A., Jafarov, R.K. On the Diagonalization of the Bethe–Salpeter Equation for the Imaginary Part of the Scattering Amplitude. Russian Physics Journal 44, 460–466 (2001). https://doi.org/10.1023/A:1012321325867
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DOI: https://doi.org/10.1023/A:1012321325867