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 TMF, 1976, Volume 26, Number 3, Pages 291–305 (Mi tmf3222)

This article is cited in 5 scientific papers (total in 5 papers)

Equation for density matrix and scaling properties of the inclusive cross section

A. A. Arkhipov, A. A. Logunov, V. I. Savrin

Abstract: In the first part of the investigation, the one-time formulation of the many-body problem in quantum field theory is used to derive an equation for the density matrix of an inclusive reaction, this being connected by a simple relation to the inclusive cross section. The solution of this equation enables one to express the inclusive cross section in terms of the effective shielding quasipotential. The result corresponds to the picture of scattering on a composite nucleon, and is close in spirit to the parton idea. In the second part, some model assumptions about the shielding quasipotential enable one to reveal the scaling behavior of the inclusive cross section for both small and large transverse momenta as well as the power decrease with increasing transverse momentum.

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English version:
Theoretical and Mathematical Physics, 1976, 26:3, 195–204

Received: 26.08.1975

Citation: A. A. Arkhipov, A. A. Logunov, V. I. Savrin, “Equation for density matrix and scaling properties of the inclusive cross section”, TMF, 26:3 (1976), 291–305; Theoret. and Math. Phys., 26:3 (1976), 195–204

Citation in format AMSBIB
\Bibitem{ArkLogSav76} \by A.~A.~Arkhipov, A.~A.~Logunov, V.~I.~Savrin \paper Equation for density matrix and scaling properties of the inclusive cross section \jour TMF \yr 1976 \vol 26 \issue 3 \pages 291--305 \mathnet{http://mi.mathnet.ru/tmf3222} \transl \jour Theoret. and Math. Phys. \yr 1976 \vol 26 \issue 3 \pages 195--204 \crossref{https://doi.org/10.1007/BF01032088} 

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This publication is cited in the following articles:
1. V. I. Savrin, “Application of density matrix to the description of the scaling properties of deep inelastic electron scattering”, Theoret. and Math. Phys., 29:3 (1976), 1115–1121
2. A. A. Arkhipov, V. I. Savrin, “Behavior of inclusive cross sections in the region of large transverse momenta and singularity of the interaction”, Theoret. and Math. Phys., 30:3 (1977), 201–205
3. A. V. Kiselev, V. A. Petrov, A. Yu. Taranov, “Inclusive electroproduction of hadrons in the fragmentation region of the virtual photon”, Theoret. and Math. Phys., 34:3 (1978), 198–202
4. V. I. Savrin, “Should allowance be made for the contribution of many-photon exchange to deep inelastic scattering of electrons on protons?”, Theoret. and Math. Phys., 39:1 (1979), 313–323
5. A. A. Arkhipov, V. I. Savrin, “A method of solving quasipotential equations”, Theoret. and Math. Phys., 53:3 (1982), 1165–1175
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