Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD

Eugene Levin (BNL; Tel Aviv University); Yuri V. Kovchegov (BNL)

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Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD

Yuri V. Kovchegov (BNL), Eugene Levin (BNL, Tel Aviv University)

High Energy Physics - Phenomenology · Submitted 29 Nov 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Analyzing the properties of an approximate solution of the proposed equation we point out that at very high energies there is a possibility that for a fixed center of mass energy the cross section will reach a local maximum at a certain intermediate size of the rapidity gap, or, equivalently, at some non-zero value of the invariant mass of the produced particles.

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arXiv IDhep-ph/9911523 (version 1)

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CitationEugene Levin (BNL, Tel Aviv University), Yuri V. Kovchegov (BNL). "Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD." arXiv:hep-ph/9911523 (1999). https://pith.science/paper/VIU7YDBN

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We derive an evolution equation describing the high energy behavior of the cross section for the single diffractive dissociation in deep inelastic scattering on a hadron or a nucleus. The evolution equation resums multiple BFKL pomeron exchanges contributing to the cross section of the events with large rapidity gaps. Analyzing the properties of an approximate solution of the proposed equation we point out that at very high energies there is a possibility that for a fixed center of mass energy the cross section will reach a local maximum at a certain intermediate size of the rapidity gap, or, equivalently, at some non-zero value of the invariant mass of the produced particles.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We derive an evolution equation describing the high energy behavior of the cross section for the single diffractive dissociation in deep inelastic scattering on a hadron or a nucleus.	contribution 0.99	0.96	0.08	asserted 1.00
s1	The evolution equation resums multiple BFKL pomeron exchanges contributing to the cross section of the events with large rapidity gaps.	contribution 0.52	0.73	0.10	asserted 1.00
s2	Analyzing the properties of an approximate solution of the proposed equation we point out that at very high energies there is a possibility that for a fixed center of mass energy the cross section will reach a local maximum at a certain intermediate size of the rapidity gap, or, equivalently, at some non-zero value of the invariant mass of the produced particles.	result 0.90	0.91	0.73	hedged possibility 0.99

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Original abstract

We derive an evolution equation describing the high energy behavior of the cross section for the single diffractive dissociation in deep inelastic scattering on a hadron or a nucleus. The evolution equation resums multiple BFKL pomeron exchanges contributing to the cross section of the events with large rapidity gaps. Analyzing the properties of an approximate solution of the proposed equation we point out that at very high energies there is a possibility that for a fixed center of mass energy the cross section will reach a local maximum at a certain intermediate size of the rapidity gap, or, equivalently, at some non-zero value of the invariant mass of the produced particles.

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Cited by 14 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Double diffraction production for dipole-dipole scattering at high energies
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Double diffractive production in dipole-dipole scattering is derived from summed large BFKL Pomeron loops and shown to exhibit geometric scaling.
Unpolarized GPDs at small $x$ and non-zero skewness
hep-ph 2025-12 unverdicted novelty 7.0 of 10

Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.
Diffractive deep inelastic scattering in the dipole picture: the $q\bar{q}g$ contribution in exact kinematics
hep-ph 2025-10 unverdicted novelty 7.0 of 10

Exact q qbar g contribution to diffractive DIS structure functions in the dipole model shows prior high-Q2 and high-MX2 approximations are inadequate and that soft quark terms are comparably important at high Q2.
Summing large Pomeron loops in the saturation region: dipole-nucleus collision beyond nonlinear equations
hep-ph 2025-02 conditional novelty 6.0 of 10

After summing large Pomeron loops, the dipole-nucleus amplitude has the same energy dependence as dipole-dipole scattering, limiting the BK equation to z' below roughly 2 sqrt(kappa c) A^{1/6}.
Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate
hep-ph 2019-02 conditional novelty 6.0 of 10

Gluon Wigner and Husimi distributions computed from JIMWLK evolution predict a percent-level elliptic modulation in coherent diffractive dijet production at a future Electron-Ion Collider, decreasing with collision en...

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Evidence of strong proton shape fluctuations from incoherent diffraction
hep-ph 2016-03 conditional novelty 6.0 of 10

Incoherent J/psi photoproduction at HERA can only be reproduced if the proton's small-x gluon density is strongly lumpy, with geometric fluctuations dominating over saturation-scale and colour-charge fluctuations.
Diffractive Dijet Production in Deep Inelastic Scattering and Photon-Hadron Collisions in the Color Glass Condensate
hep-ph 2015-11 conditional novelty 6.0 of 10

At leading order in the Color Glass Condensate, diffractive dijet production depends only on the quark-antiquark dipole amplitude and is sensitive to the angle between the dipole separation and impact parameter, with ...
Relating different approaches to nonlinear QCD evolution at finite gluon density
hep-ph 2000-04 conditional novelty 6.0 of 10

The Balitsky-Kovchegov evolution equation is the small-induced-field limit of the JKLW equation, and the JKLW nonlinearities beyond it correspond to the failure of the eikonal approximation.
Multiplicity distributions in DIS for heavy nucleus
hep-ph 2026-05 unverdicted novelty 5.0 of 10

Homotopy solutions to BFKL Pomeron evolution equations in nuclear DIS produce multiplicity distributions of produced gluons.
Dipole-dipole scattering: summing large Pomeron loops in non-linear evolution with leading twist kernel
hep-ph 2025-12 conditional novelty 5.0 of 10

In a leading-twist kernel, matching the BK solution to fan-diagram series yields KNO multiplicity distributions and gluon entropy S_E = ln(xG) for dipole-nucleus and dipole-dipole scattering.
Summing large Pomeron loops in the saturation region: nucleus-nucleus collision
hep-ph 2025-06 conditional novelty 5.0 of 10

The nucleus-nucleus scattering amplitude deep in the saturation region reduces to the single nucleon-nucleon term and therefore has the same energy dependence as dipole-dipole scattering.
Probing subnucleon scale fluctuations in ultraperipheral heavy ion collisions
hep-ph 2017-03 conditional novelty 5.0 of 10

Subnucleon-scale gluon fluctuations, constrained by HERA J/psi data, roughly double the incoherent-to-coherent J/psi ratio in ultraperipheral heavy ion collisions and shift the incoherent |t| slope above about 0.25 GeV^2.
Revealing proton shape fluctuations with incoherent diffraction at high energy
hep-ph 2016-07 conditional novelty 4.0 of 10

HERA incoherent diffractive J/psi data are reproduced only if the proton's small-x gluon distribution is strongly lumpy, with small hot spots spread far from the proton center.
Evolution at small x_bj: The Color Glass Condensate
hep-ph 2005-01 conditional novelty 4.0 of 10

The review organizes the Color Glass Condensate and JIMWLK evolution, and shows a structural analogy between small-x QCD evolution and jet evolution equations.

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30 arXiv papers cite this in 47 sentences

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Builds on it 2 papers

These equations will lead to a natural generalization of the Kovchegov-Levin equation for the diffractive production cross section (see Ref. [ref] ).

Multiparticle production in the mean field approximation of high density QCD · Introduction: AGK cutting rules · 0.98
In section IV we generalize the approach of Refs. [ref] to the UTM cascade and show that the AGK cutting rules can be replaced by the evolution equations for $σ_n$.

Particle production in the toy world: multiplicity distribution and entropy · Introduction · 0.98

Uses its method or tool 4 papers

To find the cross section for double diffraction we use the $s$-channel unitarity constraints as was suggested in Ref. [ref] 2 A^el_i,k(Y;b) = | A^el_i,k(Y;b)|^2 + 2 A^SD_i;k,k(Y; b ) + A^DD_i,k + A^in_i,k(Y;b) It has been shown in Refs. [ref] that the inelastic amplitude $A^in_i,k(Y;b) = A^el_i,k(2T(Y);b)$.

N=4 SYM and QCD motivated approach to soft interactions at high energies · Diffractive production · 0.89
The investigation is based on the aforementioned QCD dipole model of DIS and numerical solutions to nonlinear evolution equations in both fixed coupling [ref] and running coupling scenarios [ref] .

Rapidity gap distribution in diffractive dissociation: predictions for future electron-ion colliders · INTRODUCTION · 0.96
These logarithms are related to the rapidity interval $= ln1/β$ between the electron and the parton shower $X$, and they can be resummed with the Kovchegov–Levin evolution equation [ref] for the diffractive dipole amplitude.

Diffractive Processes at Next-to-Leading Order in the Dipole Picture · Light vector meson production at large photon virtualities · 0.81

Cites it as support 1 paper

It has been demonstrated [ref] that the AGK cutting rules provides these features in the framework of the parton approach.

Particle production in the toy world: multiplicity distribution and entropy · Evolution of $σ_n$ in parton approach · 0.99

Cites it as background 11 papers

The first investigation on the rapidity gap distribution in the dipole-nucleus scattering was already presented in Ref. [ref] based on the analytical solution of a simplified version of the Kovchegov-Levin equation at leading order.

Rapidity gap distribution in diffractive dissociation: predictions for future electron-ion colliders · INTRODUCTION · 0.88
Such a theory exists in two different formulations: the CGC/saturation approach [ref] , and the BFKL Pomeron calculus [ref] .

High energy QCD: multiplicity distribution and entanglement entropy · Introduction · 0.98
Effective QCD at high energies currently exists in two different formulations: the CGC/saturation approach [ref] , and the BFKL Pomeron calculus [ref] .

High energy QCD: multiplicity dependence of quarkonia production · Introduction · 1.00

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