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Elastic production of vector mesons $\gamma^{*} N\to V N$ is the pomeron-exchange dominated diffractive reaction with much potential of probing the BFKL pomeron. The BFKL pomeron can conveniently be described in terms of the dipole cross…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Nemchik , N. N. Nikolaev , B. G. Zakharov

When using the boundary integral equation method to solve a boundary value problem, the evaluation of the solution near the boundary is challenging to compute because the layer potentials that represent the solution are nearly-singular…

Numerical Analysis · Mathematics 2018-10-08 Camille Carvalho , Shilpa Khatri , Arnold D. Kim

We study the Cowling approximation by analytical means as applied to a system of linear differential equations arising from models of non-radial stellar pulsation. We consider various asymptotic cases, including those of high harmonic…

Mathematical Physics · Physics 2025-07-22 Christopher J. Winfield

Using the QCD dipole picture of the hard BFKL pomeron, we derive the general expressions of the elastic and inelastic components of the proton diffractive structure functions. We obtain a good 7 parameter fit (including a secondary reggeon…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Munier , R. Peschanski , Ch. Royon

We develop a numerical method for solving a free boundary problem which describes shape relaxation, by surface tension, of a long and thin bubble of an inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell. The method of…

Computational Physics · Physics 2007-05-23 Arkady Vilenkin , Baruch Meerson

We use recently proposed method of ratios to assess the quality of geometrical scaling in deep inelastic scattering for different forms of the saturation scale. We consider original form of geometrical scaling (motivated by the…

High Energy Physics - Phenomenology · Physics 2015-06-04 Michal Praszalowicz , Tomasz Stebel

A method allowing for a direct comparison of data with theoretical predictions is proposed for forward jet production at HERA. It avoids the reconstruction of multi-parton contributions by expressing the experimental data directly as…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. G. Contreras , R. Peschanski , C. Royon

The proton structure function F_2(x,Q^2) for x < 0.01 and 0.045< Q^2 < 45 GeV^2, measured in the deep inelastic scattering at HERA, can be well described within the framework of the Color Glass Condensate.

High Energy Physics - Phenomenology · Physics 2010-11-30 Kazunori Itakura

In this work we consider robust stabilization of uncertain dynamical systems and show that this can be achieved by solving a non-classically constrained analytic interpolation problem. In particular, this non-classical constraint confines…

Optimization and Control · Mathematics 2020-10-28 Axel Ringh , Johan Karlsson , Anders Lindquist

We analyse, in NLO, the physical properties of the discrete eigenvalue solution for the BFKL equation. We show that a set of eigenfunctions with positive eigenvalues, \omega, together with a small contribution from a continuum of…

High Energy Physics - Phenomenology · Physics 2017-12-06 H. Kowalski , L. N. Lipatov , D. A. Ross , O. Schulz

We compute, using matched asymptotic expansions, the long-time asymptotics of homoenergetic solutions to the nonlinear Boltzmann equation, in presence of a shear term, in the hyperbolic dominated regime, for homogeneous collision kernels…

Analysis of PDEs · Mathematics 2026-05-28 Alessia Nota , Juan J. L. Velázquez

In this note, we are concerned with the asymptotic approximation of a class of double integrals which can be represented as an angular spectrum superposition. These double integrals typically appear in electromagnetic scattering problems.…

Mathematical Physics · Physics 2007-05-23 Fei Wang

The present status of our ongoing systematic study of the discovery potential of QCD-instanton induced events in deep-inelastic scattering at HERA is briefly reviewed. We emphasize our recent progress in predicting the cross-sections of…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Ringwald , F. Schrempp

In non-ideal plasmas, the dielectric function has to be treated beyond the random phase approximation. Correlations and well as collisions have to be included. These corrections are known as (dynamical) local field corrections. With the…

Plasma Physics · Physics 2008-12-22 August Wierling

In the framework of semihard QCD approach, with the emphasis on the BFKL evolution of gluon distributions, we calculate the differential cross sections of inclusive $D^{*\pm}$ mesons electroproduction at HERA and confront our results with…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. P. Baranov , N. P. Zotov

Using kinetic theory, we analyze the interplay of elastic and inelastic collisions in the thermalization of the quark-gluon plasma. The main focus is the dynamics and equilibration of long wavelength modes.

Nuclear Theory · Physics 2016-11-23 Jean-Paul Blaizot , Jinfeng Liao , Yacine Mehtar-Tani

The procedure used for structure function measurements at HERA is briefly described and related to the properties of kinematic reconstruction. The reconstruction methods of the inclusive deep inelastic scattering variables are reviewed and…

High Energy Physics - Experiment · Physics 2009-10-31 Ursula Bassler , Gregorio Bernardi

We establish the asymptotic expansion in $\beta$ matrix models with a confining, off-critical potential, in the regime where the support of the equilibrium measure is a union of segments. We first address the case where the filling…

Mathematical Physics · Physics 2024-07-19 Gaëtan Borot , Alice Guionnet

The diffractive process $\gamma p\to V + X$ (where $V$ is a vector meson and $X$ results from the dissociation of the proton) is studied. In particular, we consider the region of large momentum transfer (i.e. $|t|\gg\Lambda_{QCD}^2$) and…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. R. Forshaw , M. G. Ryskin

We perform an asymptotic analysis of general particle systems arising in collective behavior in the limit of large self-propulsion and friction forces. These asymptotics impose a fixed speed in the limit, and thus a reduction of the…

Analysis of PDEs · Mathematics 2012-03-01 Mihai Bostan , J. A. Carrillo