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Related papers: Solution for the BFKL Pomeron Calculus in zero tra…

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In this paper we propose a solution to the long standing problem in the CGC/saturation approach: the power-like fall off of the scattering amplitudes at large $b$. We propose a new non-linear equation, which takes into account random walks…

High Energy Physics - Phenomenology · Physics 2020-02-05 E. Gotsman , E. Levin

The procedure to improve the convergence in transverse momentum space of the NLL BFKL kernel using a w-shift is revisited. An accurate approximation to this shift only depending on transverse momenta is presented. This approximation is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Agustin Sabio Vera

We calculate the parton level cross section for the production of two jets that are far apart in rapidity, subject to a limitation on the total transverse momentum Q_0 in the interjet region. We specifically address the question of how to…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Kyrieleis

We predict pp elastic differential cross section at LHC at the c.m. energy sqrt(s) = 14 TeV and momentum transfer range |t| = 0 - 10 GeV^2, which is planned to be measured by the TOTEM group. The field theory model underlying our…

High Energy Physics - Phenomenology · Physics 2011-03-23 M. M. Islam , R. J. Luddy , A. V. Prokudin

The regularized near-cloak via the transformation optics approach in the time-harmonic electromagnetic scattering is considered. This work extends the existing studies mainly in two aspects. First, it presents a near-cloak construction by…

Analysis of PDEs · Mathematics 2013-05-10 Gang Bao , Hongyu Liu , Jun Zou

We derive a universal bound on the integrated total scattering cross-section at \emph{finite} energies, expressed in terms of a single low-energy coefficient constrained by the non-perturbative S-matrix Bootstrap. At high energies, the…

High Energy Physics - Theory · Physics 2025-06-06 Miguel Correia , Alessandro Georgoudis , Andrea L. Guerrieri

We present a numerical approach to the solution of elastic phonon scattering problems based on a frequency domain decomposition of the atomistic equations of motion and the use of perfectly matched layer or PML boundaries. Unlike MD…

Mesoscale and Nanoscale Physics · Physics 2017-01-27 Rohit R. Kakodkar , Joseph P. Feser

We make a detailed eikonal fit to current data on the total and elastic scattering cross sections, the ratios $\rho$ of the real to the imaginary parts of the forward elastic scattering amplitudes, and the logarithmic slopes $B$ of the…

High Energy Physics - Phenomenology · Physics 2015-07-15 Martin M. Block , Loyal Durand , Phuoc Ha , Francis Halzen

We report on fits of a large class of analytic amplitude models for forward scattering against the comprehensive data for all available reactions. To differentiate the goodness of the fits of many possible parametrizations to a large sample…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Kang , J. R. Cudell , V. V. Ezhela , P. Gauron , Yu. V. Kuyanov , S. B. Lugovsky , B. Nicolescu , N. P. Tkachenko

We discuss the general behavior of the scattering amplitude with channel couplings near the two-body threshold. It is known that the Flatt\'{e} amplitude, which is often used in the analysis of experimental data involving exotic hadrons,…

High Energy Physics - Phenomenology · Physics 2024-05-15 Katsuyoshi Sone , Tetsuo Hyodo

A model for the Pomeron at $t=0$ is suggested. It is based on the idea of a finite sum of ladder diagrams in QCD. Accordingly, the number of $s$-channel gluon rungs and correspondingly the powers of logarithms in the forward scattering…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Fiore , L. L. Jenkovszky , E. A. Kuraev , A. I. Lengyel , F. Paccanoni , A. Papa

The exact scattering solutions of the Klein-Gordon equation in cylindrically symmetric field are constructed as eigenfunctions of a complete set of commuting operators. The matrix elements and the corresponding differential scattering…

Quantum Physics · Physics 2007-05-23 Jason Smith

In this paper we examine iterative methods for solving the forward ($A{\bf x}={\bf b}$) and adjoint ($A^{T}{\bf y}={\bf g}$) systems of linear equations used to approximate the scattering amplitude, defined by ${\bf g}^{T}{\bf x}={\bf…

Numerical Analysis · Mathematics 2015-03-24 Amber S. Robertson , James V. Lambers

We point out a very simple method for calculating the mixed Coulomb-nuclear corrections to the $pp$ and $\bar pp$ scattering amplitudes that has been missed in the extensive past work on this problem. The method expresses the correction in…

High Energy Physics - Phenomenology · Physics 2024-08-12 Loyal Durand , Phuoc Ha

We propose a numerical method to approximate the scattering amplitudes for the elasticity system with a non-constant matrix potential in dimensions $d=2$ and $3$. This requires to approximate first the scattering field, for some incident…

Numerical Analysis · Mathematics 2021-07-27 Juan A. Barceló , Carlos Castro

In this paper we found the parton densities at high energies. Their expressions stems from our attempts to reconcile the exact solution to the Balitsky-Kovchegov (BK) equation, which describes the rare fluctuation in the dipole-target…

High Energy Physics - Phenomenology · Physics 2024-09-04 Eugene Levin

This paper is concerned with the analysis of elastic wave scattering of a time-harmonic plane wave by a biperiodic rigid surface, where the wave propagation is governed by the three-dimensional Navier equation. An exact transparent boundary…

Numerical Analysis · Mathematics 2016-11-18 Xue Jiang , Peijun Li , Junliang Lv , Weiying Zheng

We analyze a toy model which has a structure similar to that of the recently found QCD evolution equations, but without transverse dimensions. We develop two different but equivalent methods in order to compute the leading-order and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Arif I. Shoshi , Bo-Wen Xiao

In the framework of functional integration the non-leading terms to leading eikonal behavior of the Planckian-energy scattering amplitude are calculated by the straight-line path approximation. We show that the allowance for the first-order…

General Relativity and Quantum Cosmology · Physics 2011-09-13 Nguyen Suan Han , Nguyen Nhu Xuan

An iterative solution best suited for a Monte Carlo implementation is presented for the non-forward BFKL equation in a generic color representation. We introduce running coupling effects compatible with bootstrap to all orders in…

High Energy Physics - Phenomenology · Physics 2012-06-12 G. Chachamis , A. Sabio Vera , C. Salas