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TMF, 2009, Volume 160, Number 3, Pages 471–486 (Mi tmf6410)  

This article is cited in 2 scientific papers (total in 2 papers)

The Jost–Lehmann–Dyson representation and target mass effects

O. P. Solovtsovaab, V. I. Lashkevichb

a Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
b International Center for Advanced Research, Pavel Sukhoi Gomel State Technical University, Gomel, Belarus

Abstract: We develop a method for taking target mass effects into account for the structure functions of inelastic lepton–hadron scattering using analytic moments in the variable $s$ instead of the well-known Nachtmann variable $\xi$ and Bjorken variable $x$. We find new expressions for the structure functions $F_1$, $F_2$, and $F_3$ that depend on the target mass and agree with the spectral property.

Keywords: Jost–Lehmann–Dyson representation, structure function, inelastic lepton–hadron scattering, target mass correction

DOI: https://doi.org/10.4213/tmf6410

Full text: PDF file (516 kB)
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English version:
Theoretical and Mathematical Physics, 2009, 160:3, 1260–1273

Bibliographic databases:

Received: 08.12.2008

Citation: O. P. Solovtsova, V. I. Lashkevich, “The Jost–Lehmann–Dyson representation and target mass effects”, TMF, 160:3 (2009), 471–486; Theoret. and Math. Phys., 160:3 (2009), 1260–1273

Citation in format AMSBIB
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\paper The~Jost--Lehmann--Dyson representation and target mass effects
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\pages 471--486
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\jour Theoret. and Math. Phys.
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\crossref{https://doi.org/10.1007/s11232-009-0114-3}
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  • https://doi.org/10.4213/tmf6410
  • http://mi.mathnet.ru/eng/tmf/v160/i3/p471

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. I. Lashkevich, O. P. Solovtsova, “Novyi podkhod k uchetu popravok na massu misheni v strukturnykh funktsiyakh nuklona”, PFMT, 2011, no. 2(7), 38–42  mathnet
    2. Sidorov A.V. Solovtsova O.P., “Analytic QCD Coupling and the Renormalization Group Evolution of the Structure Function Moments”, Nonlinear Phenom. Complex Syst., 20:1, SI (2017), 96–101  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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