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Using a simple eikonal approach to the treatment of Coulomb-nuclear interference and form-factors effects and taking into account the curvature effects in high-energy $pp$ and $\bar{p}p$ scattering, we determine the basic parameters $B$,…

High Energy Physics - Phenomenology · Physics 2023-05-24 Phuoc Ha

With analytic applications in mind, in particular Beyond Endoscopy ([13]), we initiate the study of the elliptic part of the trace formula. Incorporating the approximate functional equation to the elliptic part we control the analytic…

Number Theory · Mathematics 2015-11-05 Salim Ali Altug

We present an exploratory calculation of the $I=2$ $\pi-\pi$ scattering amplitude at threshold using Wilson fermions in the quenched approximation, including all the required contractions. We find good agreement with the predictions of…

High Energy Physics - Lattice · Physics 2009-10-22 Rajan Gupta , Apoorva Patel , Stephen Sharpe

I present generalized formulas for approximate corrections to QCD hard-scattering cross sections through second order in the perturbative expansion. The approximate results are based on recent two-loop calculations for soft and collinear…

High Energy Physics - Phenomenology · Physics 2011-09-09 Nikolaos Kidonakis

We compute the spin asymmetry and polarization of the final-state baryon in its rest frame in two-body meson--baryon low-energy scattering with unpolarized initial state, to lowest non-trivial order in BChPT. The required absorptive…

High Energy Physics - Phenomenology · Physics 2010-04-21 Antonio O. Bouzas

Proton-proton total cross sections are measured with present day high energy colliders up to 2 TeV in the centre-of-mass of the system (10^{15}) eV in the laboratory). Several parameterizations, very succesful at low energies, can then be…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Velasco , J. Perez-Peraza , A. Gallegos-Cruz , M. Alvarez-Madrigal , A. Faus-Golfe , A. Sanchez-Hertz

The eikonal profile function $J(b)$ obtained from the Model of the Stochastic Vacuum is parametrized in a form suitable for comparison with experiment. The amplitude and the extended profile function (including imaginary and real parts) are…

High Energy Physics - Phenomenology · Physics 2011-03-23 Flavio Pereira , Erasmo Ferreira

We consider the scattering of two-bosons with negative parity and spin 0 or 1. Starting from helicity partial-wave scattering amplitudes we derive transformations that eliminate all kinematical constraints. Such amplitudes are expected to…

High Energy Physics - Phenomenology · Physics 2015-06-03 M. F. M. Lutz , I. Vidana

We present the results of our calculations to a one, two, and three loop approximation of the e$^+$e$^-$$\rightarrow$e$^+$e$^-$ Bhabha scattering cross-section at small angles. All terms contributing to the radiatively corrected…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Arbuzov , V. Fadin , E. Kuraev , L. Lipatov , N. Merenkov , L. Trentadue

The classical differential cross-section is calculated for high-energy small-angle gravitational scattering in the factorizable model with toroidal extra dimensions. The three main features of the classical computation are: (a) It involves…

High Energy Physics - Phenomenology · Physics 2009-05-29 Dmitry V. Gal'tsov , Georgios Kofinas , Pavel Spirin , Theodore N. Tomaras

The first and second Born approximation are studied with the path integral representation for $ {\cal T} $ matrix. The $ {\cal T}$ matrix is calculated for Woods-Saxon potential scattering. To make corresponding integrals solvable…

Nuclear Theory · Physics 2009-07-02 M. R. Pahlavani , R. Morad

Neutron scattering total cross sections have been estimated from nuclei ranging in mass 6 to 238 and for neutron energies 10 MeV to 600 MeV using a simple function of three parameters. These total cross sections have also been calculated…

Nuclear Theory · Physics 2007-05-23 P. K. Deb , K. Amos

We propose a semi-empirical formula for the cross section of ionization by electron impact. The formula involves adjustable parameters which are determined by comparison with measured or numerically calculated cross sections. In the latter…

Atomic Physics · Physics 2024-04-09 Djamel Benredjem , Jean-Christophe Pain

A theory of electromagnetic (EM) wave scattering by many small particles of an arbitrary shape is developed. The particles are perfectly conducting or impedance. For a small impedance particle of an arbitrary shape an explicit analytical…

Mathematical Physics · Physics 2016-01-12 A. G. Ramm

We calculate within a semiclassical approximation the autocorrelation function of cross sections. The starting point is the semiclassical expression for the diagonal matrix elements of an operator. For general operators with a smooth…

Chaotic Dynamics · Physics 2007-08-22 Bruno Eckhardt , Shmuel Fishman , Imre Varga

The data on p$\mathrm{\bar p}$ elastic scattering at 1.8 and 1.96 TeV are analysed in terms of real and imaginary amplitudes, in a treatment with high accuracy, covering the whole t-range and satisfying the expectation of dispersion…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. K. Kohara , E. Ferreira , T. Kodama

A precise measurement of the total cross section and the coulomb scattering at the LHC requires the observation of elastically scatteredparticles at extremely small angles (14 microrad, -t < 0.01 GeV**2 for the first case; 3 microrad,…

High Energy Physics - Experiment · Physics 2007-05-23 A. Faus-Golfe , M. Haguenauer , J. Velasco

We present a simple new approach to the treatment of Coulomb-nuclear interference and form-factor effects in high-energy proton-proton scattering in the context of eikonal models for the scattering amplitude. We show that the corrections to…

High Energy Physics - Phenomenology · Physics 2020-10-29 Loyal Durand , Phuoc Ha

We have investigated several models of Pomeron and Odderon contributions to high energy elastic $pp$ and $\bar p p$ scattering. The questions we address concern their role in this field, the behavior of the scattering amplitude (or of the…

High Energy Physics - Phenomenology · Physics 2009-01-07 P. Desgrolard , M. Giffon , E. Martynov , E. Predazzi

An almost model-independent parametrization for the ratio of the total cross section to the elastic slope, as function of the center of mass energy, is introduced. The analytical result is based on the approximate relation of this quantity…

High Energy Physics - Phenomenology · Physics 2012-02-02 D. A. Fagundes , M. J. Menon