Abstract:
The asymptotic behavior of the potential scattering amplitude of hlgh-energy particles is studied by the functional integration in technique. An eikonal approximation, is found that dlffers from the usual approximation. The connection between this representation and the elkonal approximation in a quantum field model is discussed.
Citation:
V. N. Pervushin, “Method of functional integration and an eikonal approximation for potential scattering amplitudes”, TMF, 4:1 (1970), 22–32; Theoret. and Math. Phys., 4:1 (1970), 643–651
This publication is cited in the following 10 articles:
S. Bondarenko, S. Pozdnyakov, A. Prygarin, “Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action”, Eur. Phys. J. C, 81:9 (2021)
Nguyen Suan Han, Do Thu Ha, Nguyen Nhu Xuan, “The contribution of effective quantum gravity to the high energy scattering in the framework of modified perturbation theory and one loop approximation”, Eur. Phys. J. C, 79:10 (2019)
Nguyen Suan Han Le Anh Dung Nguyen Nhu Xuan Vu Toan Thang, “High energy scattering of Dirac particles on smooth potentials”, Int. J. Mod. Phys. A, 31:23 (2016), 1650126
Nguyen Suan Han, Eap Ponna, “Straight-line path approximation for studying Planckian-energy scattering in quantum gravity”, Il Nuovo Cimento A (1971-1996), 110:5 (1997), 459
Nguyen Suan Khan, V. N. Pervushin, “High-energy scattering of particles with anomalous magnetic moments in quantum field theory”, Theoret. and Math. Phys., 29:2 (1976), 1003–1011
V. N. Pervushin, “Solution of a quasipotential equation in the form of a Feynman integral”, Theoret. and Math. Phys., 14:3 (1973), 246–252
B. M. Barbashov, S. P. Kuleshov, V. A. Matveev, V. N. Pervushin, A. N. Sisakyan, “Investigation of the distribution of secondary particles associated with high-energy hadron collisions by means of the straight-line path approximation”, Theoret. and Math. Phys., 10:1 (1972), 7–12
A. V. Bogdanov, G. V. Dubrovskiy, “Eikonal expansion of scattering equations”, Theoret. and Math. Phys., 13:1 (1972), 1001–1010
V. N. Pervushin, “Eikonal representation for the amplitudes of scattering of Dirac particles by an arbitrary potential”, Theoret. and Math. Phys., 9:2 (1971), 1127–1133
B. M. Barbashov, S. P. Kuleshov, V. A. Matveev, V. N. Pervushin, A. N. Sisakyan, A. N. Tavkhelidze, “Straight-line particle path approximation for high-energy hadron scattering in quantum field theory”, Theoret. and Math. Phys., 5:3 (1970), 1183–1192
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