Low-x scaling in total cross sections

Schildknecht, Dieter; Surrow, B.; Tentyukov, M.

doi:10.1016/s0370-2693(00)01397-6

Cited by 40 publications

(65 citation statements)

References 27 publications

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“…Actually, explicit calculations become much simpler if, without much loss of generality, instead of a Gaussian a δ-function, located at a finite value of l 2 ⊥ , is used as an effective description ofσ (qqp) ( l 2 ⊥ , z, W 2 ). Accordingly, we adopt the simple ansatz [7],…”

Section: Generalitiesmentioning

confidence: 99%

“…It is amusing to note that the anticipated structure, in the framework of QCD, now finds an entirely different justification: the origin of the sign difference has shifted from the γ * (qq) vertices to the generic structure of the two-gluon-exchange amplitude in the purely hadronic (qq)p interaction. In confronting the theoretical results from Section 2 with the experimental data, we will follow the strategy employed in our recent communication [7]. In Section 3.1, accordingly, the prediction (2.30) of scaling for the γ * p total cross section,…”

Section: A Reference To Pre-qcd Off-diagonal Generalized Vector Dominmentioning

confidence: 99%

“…In a brief communication [7], we recently reported the empirical validity of a scaling law for the Q 2 dependence and the W dependence of the virtual-photon-proton cross section,…”

Section: Introductionmentioning

confidence: 99%

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The generalised vector dominance/colour-dipole picture of deep-inelastic scattering at low x

et al. 2001

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We give a detailed account of the recently formulated generalized vector dominance/colour-dipole picture (GVD/CDP) of deep-inelastic scattering at low x ∼ = Q 2 /W 2 , including photoproduction. The approach, based on γ * (qq) transitions, qq propagation and diffractive (qq)p scattering via the generic structure of the two-gluon exchange, provides a unique and quantitatively successful theory for the γ * p total cross section, σ γ * p (W 2 , Q 2 ), at low x. The GVD/CDP is shown to imply the empirical low-x scaling law, σ γ * p (W 2 , Q 2 ) = σ γ * p (η) with η = (Q 2 + m 2 0 )/Λ 2 (W 2 ), that was established by a model-independent analysis of the experimental data.

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Section: Generalitiesmentioning

confidence: 99%

Section: A Reference To Pre-qcd Off-diagonal Generalized Vector Dominmentioning

confidence: 99%

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The generalised vector dominance/colour-dipole picture of deep-inelastic scattering at low x

et al. 2001

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“…Subsequently the system will pass from dilute to dense regime of QCD and to predicted but yet to be observed regime of saturation of gluon densities. Geometrical scaling of structure functions at low-x observed at HERA [21] is an indication of this regime to take place. Note that the resolution scale that is defined by the virtuality of the photon Q 2 is fixed in this case.…”

Section: Qcd Evolutionmentioning

confidence: 95%

QCD Evolution Workshop: Introduction

Prokudin

2012

Int. J. Mod. Phys. Conf. Ser.

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Past, present, and future QCD Evolution workshop is an annual workshop traditionally held in Jefferson Lab and aimed at bringing together theoretical and experimental physicists working in the domain of nuclear and high energy physics and employing QCD in their research.This year we a organize the second edition b of the workshop following the success of the first one c organized in 2011. The proceedings of the first workshop were published in Ref. [1].With the advent of quark parton model and Bjorken scaling in 1960s the theoretical and experimental studies of the hadron structure and in particular the proton's one became an important part of nuclear physics agenda throughout the world. Indeed by studying the proton we understand the underlying nature of Quantum Chromo Dynamics (QCD) -the theory that describes the proton as bound system of quarks and gluons. Quarks are confined inside the proton i.e. thy are not observed as free asymptotic states in detectors, however asymptotic freedom of QCD, the fact that at short distances quarks behave as free particles, allows to study structure of a Organizing committee: Alexei Prokudin (JLab) Chair Anatoly Radyushkin (ODU&JLab) Ian Balitsky (ODU&JLab) Leonard Gamberg (PSU) Harut Avakian (JLab) b

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“…In [5], we have shown that approximating the distribution in the gluon momentum transfer by its average value, (11),…”

mentioning

confidence: 99%

SCALING IN γ*p TOTAL CROSS SECTIONS AND THE GENERALIZED VECTOR DOMINANCE/COLOR DIPOLE PICTURE

Schildknecht

2002

Deep Inelastic Scattering

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The scaling in σγ * p cross sections ( i) The diffractive production of high-mass states (of masses M X < ∼ 30GeV ) at an appreciable rate relative to the total virtual-photon-proton cross section, σ γ * p (W 2 , Q 2 ). The sphericity and thrust analysis[1] of the diffractively produced states revealed (approximate) agreement in shape with the final state found in e + e − annihilation at √ s = M X . This observation of high-mass diffractive production confirms the conceptual basis of generalized vector dominance (GVD) [2] that extends the role of the low-lying vector mesons in photoproduction[3] to DIS at arbitrary Q 2 , provided x bj << 1. ii)An increase of σ γ * p (W 2 , Q 2 ) with increasing energy considerably stronger[4] than the smooth "soft-pomeron" behavior known from photoproduction and hadron-hadron scattering. We have recently shown [5] that the data for total photon-proton cross sections, *

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Low-x scaling in total cross sections

Cited by 40 publications

References 27 publications

The generalised vector dominance/colour-dipole picture of deep-inelastic scattering at low x

The generalised vector dominance/colour-dipole picture of deep-inelastic scattering at low x

QCD Evolution Workshop: Introduction

SCALING IN γ*p TOTAL CROSS SECTIONS AND THE GENERALIZED VECTOR DOMINANCE/COLOR DIPOLE PICTURE

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