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We discuss how the diffraction theory of a single translation bounded measure or a family of such measures can be understood within the framework of unitary group representations. This allows us to prove an orthogonality feature of measures…

Functional Analysis · Mathematics 2024-02-05 Daniel Lenz , Nicolae Strungaru

The results of experiments at hadron colliders probing the structure of the pomeron through hard diffraction are reviewed. Some results on deep inelastic diffractive scattering obtained at HERA are also discussed and placed in perspective.…

High Energy Physics - Phenomenology · Physics 2014-11-17 Konstantin Goulianos

We develop two approaches to the problem of soft fragmentation of hadrons in a gauge theory for high energy processes. The first approach directly adapts the standard resummation of the parton distribution function's anomalous dimension…

High Energy Physics - Phenomenology · Physics 2020-07-15 Duff Neill , Felix Ringer

I review work on diffractive vector meson production in photon-proton collisions at high energy and large momentum transfer, accompanied by proton dissociation and a large rapidity gap. This process provides a test of the high energy…

High Energy Physics - Phenomenology · Physics 2016-12-21 R. Enberg

In this talk we review the models describing the hard diffractive production of jets or more generally high-mass states in presence of rapidity gaps in hadron-hadron and lepton-hadron collisions. By rapidity gaps we mean regions on the lego…

High Energy Physics - Phenomenology · Physics 2009-10-28 Vittorio Del Duca

Recent models of soft diffraction include a hard pomeron pole besides the usual soft term. Such models violate the black-disk limit around Tevatron energies, so that they need to be supplemented by a unitarisation scheme. Several such…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. -R. Cudell , O. V. Selyugin

We explore the diffractive interaction of a proton with an anti-proton which results in centrally produced dijets. This process has been recently studied at the Tevatron. We make predictions within an Ingelman-Schlein approach and compare…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. B. Appleby , J. R. Forshaw

{\narrower\smallskip High Energy onium-onium scattering is calculated as a function of impact parameter in the one and two pomeron exchange approximation. Difficulties with using the multiple scattering series to unitarize single pomeron…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. H. Nueller

The primary goal of this paper is to describe the diffraction production using the model that takes into account the Pomeron interaction, and satisfies both $t$ and $s$ channel unitarity. We hope that these features will allow us to…

High Energy Physics - Phenomenology · Physics 2020-04-28 E. Gotsman , E. Levin , I. Potashnikova

The diffusion driven by the gradient of the chemical potential (by the Fick/Darcy law) in deforming continua at large strains is formulated in the reference configuration with both the Fick/Darcy law and the capillarity gradient term…

Analysis of PDEs · Mathematics 2019-04-02 Tomáš Roubíček

On the grounds of the $U$--matrix form of $s$--channel unitarization, we consider constraints unitarity provides for the total cross--section of the virtual photon--induced reactions and discuss the preasymptotic nature of hadron and photon…

High Energy Physics - Phenomenology · Physics 2010-12-17 S. M. Troshin , N. E. Tyurin

A system of degenerate drift-diffusion equations for the electron, hole, and oxygen vacancy densities, coupled to the Poisson equation for the electric potential, is analyzed in a three-dimensional bounded domain with mixed…

Analysis of PDEs · Mathematics 2023-11-29 Ansgar Jüngel , Martin Vetter

We calculate the cross section for the production of two jets with large transverse momenta $\kf^2$ in DIS diffractive dissociation for both transverse and longitudinally polarized photons. The scale which defines the hardness of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Bartels , H. Lotter , M. Wuesthoff

The leading-particle effect and the factorization property of the scattering amplitude in the impact parameter space are used to study semiclassical production of pions in the central region. The mechanism is related to the isospin-uniform…

High Energy Physics - Phenomenology · Physics 2011-04-15 M. Martinis , V. Mikuta-Martinis , J. Črnugelj

The problem of a beam of quantum particles falling through a diffractive screen is studied. The solutions for single and double slits are obtained explicitly when the potential is approximated by a linear function. It is found that the…

Quantum Physics · Physics 2018-10-24 D. Condado , J. L. Díaz-Cruz , A. Rosado , E. Sadurní

We analyze quantal Brownian motion in $d$ dimensions using the unified model for diffusion localization and dissipation, and Feynman-Vernon formalism. At high temperatures the propagator possess a Markovian property and we can write down an…

Condensed Matter · Physics 2009-10-31 Doron Cohen

Diffractive vector meson photoproduction accompanied by proton dissociation is studied for large momentum transfer. The process is described by the non-forward BFKL equation, for which an analytical solution is found for all conformal…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Enberg , L. Motyka , G. Poludniowski

We study the large deviations of current-type observables defined for Markov diffusion processes evolving in smooth bounded regions of $\mathbb{R}^d$ with reflections at the boundaries. We derive for these the correct boundary conditions…

Statistical Mechanics · Physics 2021-06-22 Emil Mallmin , Johan du Buisson , Hugo Touchette

We report on recent calculations of the differential cross section for top-quark pair production at hadron colliders. The results are differential with respect to the top-pair invariant mass and to the partonic scattering angle. In these…

High Energy Physics - Phenomenology · Physics 2010-12-13 V. Ahrens , A. Ferroglia , M. Neubert , B. D. Pecjak , L. L. Yang

We present a program to measure the parton densities in the pomeron using diffractive deep inelastic scattering and diffractive photoproduction, and to test the resulting parton densities by applying them to other processes such as the…

High Energy Physics - Phenomenology · Physics 2009-12-30 John Collins , Joey Huston , Jon Pumplin , Harry Weerts , Jim Whitmore