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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/tmf3222
https://www.mathnet.ru/eng/tmf/v26/i3/p291
This publication is cited in the following 7 articles:
A. A. Arkhipov, V. I. Savrin, “A method of solving quasipotential equations”, Theoret. and Math. Phys., 53:3 (1982), 1165–1175
V. I. Savrin, N. B. Skachkov, “New scaling properties of the structure functions in the single-time formulation of the qauntum field theory”, Nuov Cim A, 65:1 (1981), 1
V. N. Kapshay, A. D. Linkevich, N. B. Skachkov, V. I. Savrin, “Covariant three-dimensional equations for bound states of quarks and the structure functions of hadrons”, Nuov Cim A, 66:1 (1981), 45
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
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
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
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
Citation in format AMSBIB
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