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Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD
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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.
Forward citations
Cited by 6 Pith papers
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Unpolarized GPDs at small $x$ and non-zero skewness
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|}.
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Diffractive deep inelastic scattering in the dipole picture: the $q\bar{q}g$ contribution in exact kinematics
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.
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Summing large Pomeron loops in the saturation region: dipole-nucleus collision beyond nonlinear equations
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}.
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Multiplicity distributions in DIS for heavy nucleus
Homotopy solutions to BFKL Pomeron evolution equations in nuclear DIS produce multiplicity distributions of produced gluons.
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Dipole-dipole scattering: summing large Pomeron loops in non-linear evolution with leading twist kernel
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.
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Summing large Pomeron loops in the saturation region: nucleus-nucleus collision
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.
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