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We derive an analytic expression for the instrument profile of a slit spectrograph, also known as the line spread function. While this problem is not new, our treatment relies on the operatorial approach to the description of diffractive…

Optics · Physics 2015-06-22 R. Casini , A. G. de Wijn

In the framework of Anisotropic Chromo Dynamics, a non-perturbative model of QCD based on magnetic condensation in the vacuum, we develope a picture of the Pomeron. Within this model we are able to calculate the diffractive contribution to…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Dick , V. Karapetian , R. Barni , G. Preparata

Measurements of diffractive structure functions in ep collisions and diffractive parton densities extracted from QCD fits are presented.

High Energy Physics - Experiment · Physics 2007-05-23 Sebastian Schaetzel

Divergence measures have a long association with statistical inference, machine learning and information theory. The density power divergence and related measures have produced many useful (and popular) statistical procedures, which provide…

Statistics Theory · Mathematics 2022-09-07 Souvik Ray , Subrata Pal , Sumit Kumar Kar , Ayanendranath Basu

Diffractive events are studied by means of identification of one or more rapidity gaps and/or a leading antiproton. Measurements of soft and hard diffractive processes have been performed at the Tevatron $p\bar p$ collider and presented. We…

High Energy Physics - Phenomenology · Physics 2010-09-10 Michele Gallinaro

We discuss the high-energy dependencies of diffractive and non-diffractive inelastic cross-sections in view of the recent LHC data which revealed a presence of the reflective scattering mode.

High Energy Physics - Phenomenology · Physics 2015-03-13 S. M. Troshin , N. E. Tyurin

The Good-Walker mechanism for diffraction is shown to provide a link between total and diffractive structure functions and to be relevant for QCD calculations at small x_{Bj}. For Deep-Inelastic scattering on a small-size target (cf. an…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Peschanski

We derive an expression for diffractive F_2 structure function which should be valid at small x for quasi-elastic scattering on a hadron and for quasi-elastic scattering on a large nucleus. This expression includes multiple rescatterings of…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yuri V. Kovchegov , Larry McLerran

It is believed that the large-scale geometric properties of two-dimensional critical percolation are described by a logarithmic conformal field theory, but it has been challenging to exhibit concrete examples of logarithmic singularities…

Mathematical Physics · Physics 2024-07-17 Federico Camia , Yu Feng

The logarithmic derivative of a point process plays a key role in the general approach, due to the third author, to constructing diffusions preserving a given point process. In this paper we explicitly compute the logarithmic derivative for…

Probability · Mathematics 2017-07-07 Alexander I. Bufetov , Andrey V. Dymov , Hirofumi Osada

This study deals with continuous limits of interacting one-dimensional diffusive systems, arising from stochastic distortions of discrete curves with various kinds of coding representations. These systems are essentially of a…

Statistical Mechanics · Physics 2011-09-09 Guy Fayolle , Cyril Furtlehner

A computation of the dynamical structure factor of topologically disordered systems, where the disorder can be described in terms of euclidean random matrices, is presented. Among others, structural glasses and supercooled liquids belong to…

Disordered Systems and Neural Networks · Physics 2009-10-31 V. Martin-Mayor , M. Mezard , G. Parisi , P. Verrocchio

The fundamental relation between the slopes of diffraction cone in single diffraction dissociation and elastic scattering has been derived.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Arkhipov

We discuss the description of the proton structure function within the dipole factorisation framework. We parametrise the forward dipole amplitude to account for saturation as predicted by the small-x QCD evolution equations. Contrarily to…

High Energy Physics - Phenomenology · Physics 2008-07-02 Gregory Soyez

Motivated by the need to increase the precision of theoretical predictions to test saturation physics at both the LHC and the EIC, we compute the cross-sections for the diffractive single and di-hadron production at the NLO in the shockwave…

High Energy Physics - Phenomenology · Physics 2023-11-02 Michael Fucilla , Andrey Grabovsky , Emilie Li , Lech Szymanowski , Samuel Wallon

Using the QCD dipole picture of the BFKL pomeron, the gluon contribution to the cross-section for single diffractive dissociation in deep-inelastic high-energy scattering is calculated. The resulting contribution to the proton diffractive…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas , R. Peschanski

We examine the diffraction properties of lattice dynamical systems of algebraic origin. It is well-known that diverse dynamical properties occur within this class. These include different orders of mixing (or higher-order correlations), the…

Dynamical Systems · Mathematics 2019-07-17 Michael Baake , Tom Ward

In this presentation, we obtain the corresponding universal function to the diffractive process and show the cross section exhibits the geometrical scaling. It is observed the diffractive theory according to the color dipole approach at…

High Energy Physics - Phenomenology · Physics 2021-01-18 Z. Jalilian , G. R. Boroun

In this paper, we propose stochastic structure-preserving schemes to compute the effective diffusivity for particles moving in random flows. We first introduce the motion of particles using the Lagrangian formulation, which is modeled by…

Numerical Analysis · Mathematics 2020-08-24 Junlong Lyu , Zhongjian Wang , Jack Xin , Zhiwen Zhang

Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately…

Numerical Analysis · Mathematics 2022-04-12 Kai Diethelm
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