Abstract:
The asymptotic behavior of high-energy elastic and inelastic amplitudes is studied by means of the functional integration method of quantum field theory. A straight-line particle path approximation is formulated that can be used effectively to calculate the functional integrals that occur. A model of scalar nucleons interacting with a vector field is studied. Closed relativistically invariant expressions are obtained for the two-particle elastic scattering amplitudes
and also for the inelastic amplitudes.
Citation:
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”, TMF, 5:3 (1970), 330–342; Theoret. and Math. Phys., 5:3 (1970), 1183–1192
\Bibitem{BarKulMat70}
\by B.~M.~Barbashov, S.~P.~Kuleshov, V.~A.~Matveev, V.~N.~Pervushin, A.~N.~Sisakyan, A.~N.~Tavkhelidze
\paper Straight-line particle path approximation for high-energy hadron scattering in quantum field theory
\jour TMF
\yr 1970
\vol 5
\issue 3
\pages 330--342
\mathnet{http://mi.mathnet.ru/tmf4212}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 5
\issue 3
\pages 1183--1192
\crossref{https://doi.org/10.1007/BF01035249}
Linking options:
https://www.mathnet.ru/eng/tmf4212
https://www.mathnet.ru/eng/tmf/v5/i3/p330
This publication is cited in the following 6 articles:
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)
G. V. Efimov, “Elastic scattering and the path integral”, Theoret. and Math. Phys., 179:3 (2014), 695–711
B. M. Barbashov, V. V. Nesterenko, “Investigation by the functional method of the high-energy behavior of the “meson-nucleon” scattering amplitude in a scalar model”, Theoret. and Math. Phys., 14:1 (1973), 19–24
B. M. Barbashov, V. V. Nesterenko, “Eikonal approximation for deep inelastic scattering in scalar electrodynamics”, Theoret. and Math. Phys., 16:1 (1973), 665–671
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. Maheshwari, “Scattering amplitudes in the Block-Nordsieck model field theory”, Lett. Nuovo Cimento, 5:4 (1972), 349
Citation in format AMSBIB
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