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We compute the dispersion laws of chaotic periodic systems using the semiclassical periodic orbit theory to approximate the trace of the powers of the evolution operator. Aside from the usual real trajectories, we also include complex…

Condensed Matter · Physics 2009-10-22 P. Leboeuf , A. Mouchet

We derive a formally simple approximate analytical solution to the Poisson-Boltzmann equation for the spherical system via a geometric mapping. Its regime of applicability in the parameter space of the spherical radius and the surface…

Soft Condensed Matter · Physics 2012-02-01 Zhenwei Yao , Mark J. Bowick , Xu Ma

We report on a successful attempt to extract the cross-section for the high-energy scattering of colour dipoles of fixed transverse size off protons using electroproduction and photoproduction total cross-section data, subject to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Forshaw , G. Kerley , G. Shaw

We show that the recent measurements of the total photoproduction cross section at HERA energies [1] are in agreement with our earlier prediction based on high-energy hadronic structure of the photon in the QCD minijet-type model [2]. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ina Sarcevic

Generalized parton distributions (GPDs) offer a comprehensive picture of the nucleon structure and dynamics and provide a link between microscopic and macroscopic properties of the nucleon. These quantities, which can be interpreted as the…

Nuclear Experiment · Physics 2014-11-20 E. Voutier

We give a brief overview on the theory and phenomenology of generalized parton distributions (GPDs), including the recently developed framework of single-diffractive hard exclusive process for matching GPDs to experimental observables. We…

High Energy Physics - Phenomenology · Physics 2024-10-24 Jian-Wei Qiu , Zhite Yu

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

We compute total and differential elastic cross sections of high-energy hadronic collisions in the loop-loop correlation model that provides a unified description of hadron-hadron, photon-hadron, and photon-photon reactions. The impact…

High Energy Physics - Phenomenology · Physics 2007-05-23 Arif I. Shoshi , Frank D. Steffen

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 method which allows to extract theoretical informations out of a limited set of experimental data and observables, forming up in general an under- constrained system. It has been applied to the field of nucleon structure, in…

High Energy Physics - Phenomenology · Physics 2015-06-23 Marie Boër , Michel Guidal

Recent measurements of the inelastic and total proton-proton cross section at the LHC, and at cosmic ray energies by the Auger experiment, have quantitatively confirmed fits to lower energy data constrained by the assumption that the proton…

High Energy Physics - Phenomenology · Physics 2015-05-30 Francis Halzen , Keiji Igi , Muneyuki Ishida , C. S. Kim

This paper is concerned with the Lyapunov spectrum for measurable cocycles over an ergodic pmp system taking values in semi-simple real Lie groups. We prove simplicity of the Lyapunov spectrum and its continuity under certain perturbations…

Dynamical Systems · Mathematics 2025-04-15 Uri Bader , Alex Furman

An eikonalized elastic proton-proton and proton-antiproton scattering amplitude, based on the suggestion of a finite sum of ladder diagrams, calculated from QCD and the number of $s-$channel gluon rungs and correspondingly the powers of…

High Energy Physics - Phenomenology · Physics 2012-02-21 A. Lengyel , Z. Tarics

Using a statistical model of multiparticle production by Chou, Yang and Yen, which looks similar to the thermal model and is known to account for the single particle distributions in e$^+$ e$^-$ collisions, we fit the rapidity and…

Nuclear Theory · Physics 2007-05-23 Kang Seog Lee

Making use of a derivative dispersion approach, we investigate the behavior of the the total cross section and the rho parameter for pp and p(bar)p scattering from accelerator to cosmic ray energies. The discrepancies in the cosmic ray…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. F. Ávila , E. G. S. Luna , M. J. Menon

The general theory of parabolic geometries is applied to the study of the normal Cartan connections for all hyperbolic and elliptic 6-dimensional CR-manifolds of codimension two. The geometric meaning of the individual components of the…

Differential Geometry · Mathematics 2007-05-23 Gerd Schmalz , Jan Slovak

We conjecture the existence of a simple geometric structure underlying questions of reducibility of parabolically induced representations of reductive p-adic groups.

Representation Theory · Mathematics 2007-05-23 Anne-Marie Aubert , Paul Baum , Roger Plymen

Parton distribution functions (PDFs) describe the structure of hadrons as composed of quarks and gluons. They are needed to make predictions for short-distance processes in high-energy collisions and are determined by fitting to cross…

High Energy Physics - Phenomenology · Physics 2020-11-11 Karol Kovarik , Pavel M. Nadolsky , Davison E. Soper

A three component model, consisting of the hydrodynamical blast-wave term and two power-law terms, is proposed for an improved fitting of the hadron spectra measured at midrapidity and for arbitrary transverse momenta ($p_\textrm{T}$) in pp…

High Energy Physics - Phenomenology · Physics 2021-12-14 Smbat Grigoryan

Clapeyron's Theorem in classical linear elasticity provides a way to explicitly express the energy stored in an equilibrium configuration in terms of the work of the forces applied on the boundary. We derive several new integral relations…

Mathematical Physics · Physics 2025-08-19 Yury Grabovsky , Lev Truskinovsky
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