Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS

E. Levin; M. Lublinsky

doi:10.1007/s100520100839

Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS

E. Levin, M. Lublinsky

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

This paper presents the first numerical solution to the non-linear evolution equation for diffractive dissociation processes in deep inelastic scattering. It is shown that the solution depends on one scaling variable τ = Q²/Q_s^D2(x,x₀), where Q_s^D(x, x₀) is the saturation scale for the diffraction processes. The dependence of the saturation scale Q_s^D(x, x₀) on both x and x₀ is investigated, (Yo = ln(1/x₀) is the minimal rapidity gap for the diffraction process). The x-dependence of Q_s^D turns out to be the same as the one of the saturation scale in the total inclusive DIS cross section. In our calculations Q_s^D(x,x₀) reveals only a mild dependence on x₀. The scaling is shown to hold for x ≪ x₀ but is violated at x ∼ x₀.

Original language	English
Pages (from-to)	647-654
Number of pages	8
Journal	European Physical Journal C
Volume	22
Issue number	4
DOIs	https://doi.org/10.1007/s100520100839
State	Published - 1 Dec 2001
Externally published	Yes

ASJC Scopus subject areas

Engineering (miscellaneous)
Physics and Astronomy (miscellaneous)

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title = "Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS",

abstract = "This paper presents the first numerical solution to the non-linear evolution equation for diffractive dissociation processes in deep inelastic scattering. It is shown that the solution depends on one scaling variable τ = Q2/QsD2(x,x0), where QsD(x, x0) is the saturation scale for the diffraction processes. The dependence of the saturation scale QsD(x, x0) on both x and x0 is investigated, (Yo = ln(1/x0) is the minimal rapidity gap for the diffraction process). The x-dependence of QsD turns out to be the same as the one of the saturation scale in the total inclusive DIS cross section. In our calculations QsD(x,x0) reveals only a mild dependence on x0. The scaling is shown to hold for x ≪ x0 but is violated at x ∼ x0.",

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T1 - Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS

AU - Levin, E.

AU - Lublinsky, M.

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N2 - This paper presents the first numerical solution to the non-linear evolution equation for diffractive dissociation processes in deep inelastic scattering. It is shown that the solution depends on one scaling variable τ = Q2/QsD2(x,x0), where QsD(x, x0) is the saturation scale for the diffraction processes. The dependence of the saturation scale QsD(x, x0) on both x and x0 is investigated, (Yo = ln(1/x0) is the minimal rapidity gap for the diffraction process). The x-dependence of QsD turns out to be the same as the one of the saturation scale in the total inclusive DIS cross section. In our calculations QsD(x,x0) reveals only a mild dependence on x0. The scaling is shown to hold for x ≪ x0 but is violated at x ∼ x0.

AB - This paper presents the first numerical solution to the non-linear evolution equation for diffractive dissociation processes in deep inelastic scattering. It is shown that the solution depends on one scaling variable τ = Q2/QsD2(x,x0), where QsD(x, x0) is the saturation scale for the diffraction processes. The dependence of the saturation scale QsD(x, x0) on both x and x0 is investigated, (Yo = ln(1/x0) is the minimal rapidity gap for the diffraction process). The x-dependence of QsD turns out to be the same as the one of the saturation scale in the total inclusive DIS cross section. In our calculations QsD(x,x0) reveals only a mild dependence on x0. The scaling is shown to hold for x ≪ x0 but is violated at x ∼ x0.

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Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS

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