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The diffraction production of many hadron showers separated by large rapidity gaps, when calculated within the standard pomeron approach, lead to cross sections rising much faster than Froissart-Martin bound. This is the point of…

High Energy Physics - Phenomenology · Physics 2022-05-04 E. Martynov , G. Tersimonov

Results on soft and hard diffraction are briefly reviewed and placed in a QCD perspective using a parton model approach. Issues addressed include factorization, scaling properties, universality of rapidity gap formation, and unitarity.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Konstantin Goulianos

Multiple interaction models satisfying $s$-channel unitarity predict that, in contrast to inelastic processes, factorization is violated in diffractive processes. The size of this effect can be characterized in terms of the rapidity gap…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. W. Bopp , R. Engel , J. Ranft , A. Rostovtsev

The pomeron topological cross-section is derived for the eikonal and the $U$-matrix unitarization schemes using a generalized expansion of the unitarized elastic amplitude in an effort to examine pomeron characteristics, namely the…

High Energy Physics - Phenomenology · Physics 2024-12-24 Rami Oueslati

Diffraction is an old subject which has received much interest in recent years due to the advent of diffractive hard scattering. We discuss some theoretical models and experimental results that have shown new striking effects, e.g. rapidity…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gunnar Ingelman

It is shown that the dipole pomeron model of single diffraction dissociation -- contrary to the case of the supercritical pomeron -- is compatible with the inequality $\sigma^{SD}\leq\sigma^{tot}$, imposed by unitarity, provided the triple…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. L. Jenkovszky , E. S. Martynov , F. Paccanoni

An extensive generalization of the ordinary and quasi-eikonal methods is presented for the $pp$ and $\bar pp$ elastic scattering amplitudes, which takes into account in a phenomenological way all intermediate multiparticle states involving…

High Energy Physics - Phenomenology · Physics 2009-01-07 P. Desgrolard , M. Giffon , E. Martynov , E. Predazzi

We consider the absorptive corrections and the rapidity gap survival factor which are necessary to provide the unitarization of the BFKL Pomeron. In particular we discuss the role of the enhanced screening diagrams.

High Energy Physics - Phenomenology · Physics 2019-02-22 V. A. Khoze , A. D. Martin , M. G. Ryskin

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

The role of screening corrections, calculated using the eikonal model, is discussed in the context of soft photoproduction. We present a comprehensive calculation considering the total,elastic and diffractive cross sections jointly. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Gotsman , E. M. Levin , U. Maor

The rigorous solution to the grating diffraction problem is a cornerstone step in many scientific fields and industrial applications ranging from the study of the fundamental properties of metasurfaces to the simulation of photolithography…

Computational Physics · Physics 2025-02-05 Evgeniy Levdik , Alexey A. Shcherbakov

Diffraction-limited imaging in epi-fluorescence microscopy remains a challenge when sample aberrations are present or when the region of interest rests deep within an inhomogeneous medium. Adaptive optics is an attractive solution albeit…

Recent measurements of the diffractive deep-inelastic cross section are used to extract diffractive parton densities of the proton. These are subsequently applied in models to predict the production of jets and open charm in the final…

High Energy Physics - Experiment · Physics 2007-05-23 Pierre Van Mechelen

Multi Pomeron interactions are the main source of high mass diffraction. Their role in high energy dynamics greatly influences the predictions for high energy cross sections and survival probabilities of hard diffraction channels, notably,…

High Energy Physics - Phenomenology · Physics 2009-03-03 E. Gotsman , E. Levin , U. Maor , J. S. Miller

Despite its generality and powerful convergence properties, Milstein's method for functionals of spatially bounded stochastic differential equations is widely regarded as difficult to implement. This has likely prevented it from being…

Numerical Analysis · Mathematics 2018-11-22 Francisco Bernal

We discuss the experimental evidence supporting the concept of universality of the rapidity gap probability in soft and hard diffraction, relate the gap probability to hadronic parton densities, and present a phenomenological model of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Konstantin Goulianos

We consider the problem of blind ptychography, that is the joint estimation of an unknown object and an illumination function from diffraction intensity measurements. In ptychography, diffraction measurements from neighboring regions of the…

Optimization and Control · Mathematics 2016-02-04 Stefano Marchesini , Hau-Tieng Wu

In this paper we develop a multiscale method to solve problems in complicated porous microstructures with Neumann boundary conditions. By using a coarse-grid quasi-interpolation operator to define a fine detail space and local orthogonal…

Numerical Analysis · Mathematics 2014-11-10 Donald L. Brown , Daniel Peterseim

We discuss power corrections associated with the infrared behavior of the perturbative running coupling in the eikonal approximation to Drell-Yan and other annihilation cross sections in hadron-hadron scattering. General properties of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eric Laenen , George Sterman , Werner Vogelsang

The low $x$ limit of deep inelastic electron proton scattering is considered using methods of perturbative QCD. In the first part we investigate the phenomenological consequences of the resummation of leading logarithms in $1/x$ given by…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Lotter
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