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This report discusses some results on differential cross sections for high energy and small momentum transfer elastic hadron-hadron scattering in QCD, using a functional integral approach. In particulary a matrix cumulant expansion for the…

High Energy Physics - Phenomenology · Physics 2016-09-06 E. R. Berger

Data-driving determination of the new properties of elastic scattering at small angles on the basis on all existing experimental data for $d\sigma/dt$ of $pp$ and $p\bar{p}$ at $\sqrt{s} \geq 540$ GeV allows us to obtain the main…

High Energy Physics - Phenomenology · Physics 2024-11-18 O. V. Selyugin

In this work, the transition matrix elements for inelastic electron--electron scattering are investigated. The angular part is given by spherical harmonics. For the weighted radial wave function overlap, analytic expressions are derived in…

Materials Science · Physics 2013-04-09 Stefan Löffler , Peter Schattschneider

In the framework of pertubative QCD it is argued that in the elastic $ed$-scattering at $Q^{2}\sim$ few $(GeV/c)^{2}$ the light-cone-frame helicity-flip amplitudes could not be omitted. The obtained $\frac{B}{A}$ ratio of Rosenbluth…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Kobushkin , A. Syamtomov

Using a unified analytic representation for the elastic scattering amplitudes of pp scattering valid for all high energy region, the behavior of observables in the LHC collisions in the range $\sqrt{s}$ = 2.76 - 14 TeV is discussed.…

High Energy Physics - Phenomenology · Physics 2014-11-14 Erasmo Ferreira , Takeshi Kodama , Anderson Kendi Kohara

The role of low-$x$ parton dynamics in dictating the high-energy behavior of forward scattering observables at LHC energies is investigated using a QCD-based model with even-under-crossing amplitude dominance at high-energies. We explore…

High Energy Physics - Phenomenology · Physics 2019-10-17 M. Broilo , D. A. Fagundes , E. G. S. Luna , M. J. Menon

A QCD analysis of the world data on inclusive polarized deep inelastic scattering of leptons on nucleons is presented in leading and next-to-leading order. New parameterizations are derived for the quark and gluon distributions and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Blümlein , H. Böttcher

First results of a detailed analysis of p+p elastic scattering data are presented from ISR to LHC energies utilizing the quark-diquark model of protons in a form proposed by Bialas and Bzdak. The differential cross-section of elastic…

High Energy Physics - Phenomenology · Physics 2012-02-14 F. Nemes , T. Csörgő

We study the high-energy behavior of the elastic scattering amplitude using two distinct unitarization schemes: the eikonal and the $U$-matrix. Our analysis begins with a formalism involving solely Pomerons, incorporating pion-loop…

High Energy Physics - Phenomenology · Physics 2024-10-10 M. Maneyro , E. G. S. Luna , M. Peláez

At very high energy and wide angles, Compton scattering on the proton (gamma p -> gamma p) is described by perturbative QCD. The perturbative QCD calculation has been performed several times previously, at leading twist and at leading order…

High Energy Physics - Phenomenology · Physics 2009-05-01 Travis Brooks , Lance Dixon

Elastic proton-proton scattering is reviewed starting from the results of the LHC experiments conducted by the TOTEM and ATLAS collaborations, and the HEGS model and a simple phenomenological parametrisation are compared with the new data…

High Energy Physics - Phenomenology · Physics 2017-10-25 Oleg V. Selyugin , Jean-René Cudell

We parametrize TOTEM data for the elastic differential pp cross section at sqrt(s)=7 TeV in terms of two exponentials with a relative phase. We employ two previously derived sum rules for pp elastic scattering amplitude in impact parameter…

High Energy Physics - Phenomenology · Physics 2015-06-05 Agnes Grau , Simone Pacetti , Giulia Pancheri , Yogendra N. Srivastava

A recent QCD formulation that is non-perturbative, finite, gauge-invariant, exact emerged from Schwinger's Generating Functional. A first test of the validity of this formulation is provided here against elastic proton-proton scattering at…

High Energy Physics - Phenomenology · Physics 2018-08-01 Peter H. Tsang

A phenomenological scaling property of the LHC proton-proton elastic scattering cross sections at moderate transfer momentum has been recently observed. The theoretical QCD saturation framework for hard elastic scattering on the proton,…

High Energy Physics - Phenomenology · Physics 2024-10-01 R. Peschanski , B. G. Giraud

Dominant contributions of enhanced Pomeron diagrams to elastic hadron-hadron scattering amplitude are re-summed to all orders. The formalism is applied to calculate total hadronic cross sections and elastic scattering slopes. An agreement…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Ostapchenko

Coherence phenomena, the increase with energy of coherence length and the non-universality of parton structure of the effective Pomeron are explained. New hard phenomena directly calculable in QCD such as diffractive electroproduction of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Halina Abramowicz , Leonid Frankfurt , Mark Strikman

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

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

The unitarity of the $S$-matrix requires that the absorptive part of the elastic scattering amplitude receives contributions from both the inelastic and the elastic channels. We explore this unitarity condition in order to describe, in a…

High Energy Physics - Phenomenology · Physics 2015-06-17 P. C. Beggio , E. G. S. Luna

Total and differential cross sections for high energy and small momentum transfer elastic hadron-hadron scattering are studied in QCD using a functional integral approach. The hadronic amplitudes are governed by vacuum expectation values of…

High Energy Physics - Phenomenology · Physics 2016-09-06 E. R. Berger , O. Nachtmann