2003
DOI: 10.1103/physrevc.68.035206
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Nuclear shadowing in deep-inelastic scattering: Numerical solution of the evolution equation for the Green function

Abstract: Within a light-cone QCD formalism based on the Green function technique incorporating color transparency and coherence length effects we study nuclear shadowing in deep-inelastic scattering at moderately small Bjorken x Bj . Calculations performed so far were based only on approximations leading to an analytical harmonic oscillatory form of the Green function. We present for the first time an exact numerical solution of the evolution equation for the Green function using realistic form of the dipole cross sect… Show more

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Cited by 20 publications
(47 citation statements)
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“…This allowed to exclude any additional assumptions and avoid supplementary approximations, which caused theoretical uncertainties. The corresponding predictions for nuclear shadowing in DIS at small x Bj , based on the exact numerical solution of the evolution equation for the Green function [18], showed quite a large difference in comparison with approximate calculations [19,17] obtained within the harmonic oscillator Green function approach, in the kinematic region when l c ∼ < R A (R A is the nuclear radius). However, no comparison with data was performed using this path integral technique based on an exact numerical solution of the two-dimensional Schrödinger equation for the Green function.…”
Section: Introductionmentioning
confidence: 99%
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“…This allowed to exclude any additional assumptions and avoid supplementary approximations, which caused theoretical uncertainties. The corresponding predictions for nuclear shadowing in DIS at small x Bj , based on the exact numerical solution of the evolution equation for the Green function [18], showed quite a large difference in comparison with approximate calculations [19,17] obtained within the harmonic oscillator Green function approach, in the kinematic region when l c ∼ < R A (R A is the nuclear radius). However, no comparison with data was performed using this path integral technique based on an exact numerical solution of the two-dimensional Schrödinger equation for the Green function.…”
Section: Introductionmentioning
confidence: 99%
“…Detailed discussions and comparison of these two parametrizations can be found in refs. [23,20,18]. Whereas the GBW parametrization cannot be applied in the nonperturbative region of Q 2 , the KST parametrization gives a good description of the transition down to the limit of real photoproduction, Q 2 = 0.…”
Section: Introductionmentioning
confidence: 99%
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