This article is cited in 2 papers

The Jost–Lehmann–Dyson representation and target mass effects

O. P. Solovtsova^ab, V. I. Lashkevich<sup>b

a</sup> 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.

Received: 08.12.2008

DOI: 10.4213/tmf6410

 English version: Theoretical and Mathematical Physics, 2009, 160:3, 1260–1273

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