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The s-channel unitarity condition for the imaginary part of the hadronic elastic scattering amplitude outside the diffraction peak is studied within different assumptions about the behavior of its real part. The integral equation for the…

High Energy Physics - Phenomenology · Physics 2015-06-11 I. M. Dremin

In this paper we prove a new optimal bound on the logarithmic slope of the elastic slope when: elastic cross section and differential cross sections in forward and backward directions are known from experimental data. The results on the…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. B. Ion , M. L. D. Ion

Recent developments in theory and phenomenology relevant to deep inelastic lepton scattering are reviewed, concentrating on the following topics: Predicted behaviour of non-singlet and polarized structure functions at small $x$; Theoretical…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. R. Webber

We predict pp elastic differential cross sections at LHC at c.m. energy 14 TeV and momentum transfer range |t| = 0 - 10 GeV*2 in a nucleon-structure model. In this model, the nucleon has an outer cloud of quark-antiquark condensed ground…

High Energy Physics - Phenomenology · Physics 2007-08-10 M. M. Islam , J. Kaspar , R. J. Luddy

In this paper, we investigate well-posedness of time-harmonic scattering of elastic waves by unbounded rigid rough surfaces in three dimensions. The elastic scattering is caused by an $L^2$ function with a compact support in the…

Analysis of PDEs · Mathematics 2024-01-30 Guanghui Hu , Tianjiao Wang , Xiang Xu , Yue Zhao

High energy elastic $p p$ scattering at the Large Hadron Collider (LHC) at c.m. energy 14 TeV is predicted using the asymptotic behavior of $\sigma_{tot}(s)$ and $\rho(s)$ known from dispersion relation calculations and the measured elastic…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. M. Islam , R. J. Luddy , A. V. Prokudin

In this article: a) a method is developed for calculating volumetric diagrams of elastic scattering of microparticles (in particular, electrons and photons) on single-layer and multi-layer statistically uneven surfaces; b) the diffraction…

General Physics · Physics 2021-04-06 Mikhail Batanov-Gaukhman

Six-dimensional quantum dynamical calculations of the scattering of H_2 from a Pd(100) surface using a potential energy surface derived from density-functional theory calculations are presented. Due to the corrugation and anisotropy of the…

mtrl-th · Physics 2009-10-30 Axel Gross , Matthias Scheffler

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

Three main statements are advocated in this talk: 1. Protons become more active at the periphery with increase of their collision energy as follows from comparison of ISR and LHC data. 2. The geometric scaling is violated even in the…

High Energy Physics - Experiment · Physics 2013-10-23 I. M. Dremin

The elastic and inelastic profiles have been derived from the measured elastic differential cross section data with the help of exact impact parameter representation of elastic scattering amplitude. The results obtained for $pp$ scattering…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vojtech Kundrat , Milos Lokajicek , D. Krupa

Current stage of development of the high-energy elastic diffractive scattering phenomenology is reviewed. Verification of various theoretical models via comparison of their predictions with the recent D0 and TOTEM data on the…

High Energy Physics - Phenomenology · Physics 2014-01-14 A. A. Godizov

Deep Inelastic Scattering would be brought into the unexplored TeV regime by the the proposed Large Hadron Electron Collider at CERN. Its rich physics program, includes both precision Standard Model measurements to complement LHC physics as…

High Energy Physics - Phenomenology · Physics 2023-02-14 Francesco Giuli

Under the assumption of total absorption and dominance of the imaginary part of the scattering amplitude, we present a sum rule for any hadronic elastic differential cross-section ${d\sigma}\over{dt}$: the dimensionless quantity…

High Energy Physics - Phenomenology · Physics 2007-05-23 Giulia Pancheri , Yogendra Srivastava , Nicola Staffolani

We derive a general upper bound on the spreading rate of wavepackets in the framework of Schr\"odinger time evolution. Our result consists of showing that a portion of the wavepacket cannot escape outside a ball whose size grows dynamically…

Spectral Theory · Mathematics 2007-05-23 R. Killip , A. Kiselev , Y. Last

The current state-of-the-art theoretical estimations lead to cross-sections for $AA \to \gamma \gamma AA$ which are somewhat smaller than the measured ones by the ATLAS and CMS Collaborations, which motivates the searching and calculation…

High Energy Physics - Phenomenology · Physics 2025-07-23 Mariola Klusek-Gawenda , Victor P. Goncalves , Antoni Szczurek

Using Fisher information and the Cram\'er-Rao lower bound, we analyse fundamental precision limits in the determination of spectral parameters in inelastic optical scattering. General analytic formulae are derived which account for the…

Instrumentation and Detectors · Physics 2019-04-03 Peter Török , Matthew R. Foreman

A study of the interaction of loosely bound nuclei 6,7Li at 9 and 19 AMeV with light targets has been undertaken. With the determination of unambiguous optical potentials in mind, elastic data for four projectile-target combinations and one…

Nuclear Experiment · Physics 2009-11-10 F. Carstoiu , L. Trache , R. E. Tribble , C. A. Gagliardi

We present the basic aspects of deep inelastic phenomena in the framework of the QCD parton model. After recalling briefly the standard kinematics, we discuss the physical interpretation of unpolarized and polarized structure functions in…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Bourrely , J. Soffer

The predictions of a model which was tuned in 2013 to describe the elastic and diffractive $pp$- and/or $p\bar p$-data at collider energies up to 7 TeV are compared with the new 13 TeV TOTEM results. The possibility of an odd-signature…

High Energy Physics - Phenomenology · Physics 2018-02-21 V. A. Khoze , A. D. Martin , M. G. Ryskin
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