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Few composite exponential models for the differential cross section are proposed to analyse the proton-proton ($pp$) elastic scattering at several energies. These proposed models are fitted to the data for $pp$ elastic differential cross…

High Energy Physics - Phenomenology · Physics 2025-06-09 Muhammad Saad Ashraf , Nosheen Akbar , Sarwat Zahra

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

Analytic models for hadron-hadron scattering are characterized by analytical parametrizations for the forward amplitudes and the use of dispersion relation techniques to study the total cross section $\sigma_{tot}$ and the $\rho$ parameter.…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. F. Ávila , E. G. S. Luna , M. J. Menon

The impact of different assumptions about high energy behavior of the total cross section of proton-proton interactions on the ratio of the real to imaginary part of the forward elastic scattering amplitude is analyzed. It is shown how…

High Energy Physics - Phenomenology · Physics 2015-06-15 I. M. Dremin

Exact analytical forms of solutions for Dispersion Relations for Amplitudes and Dispersion Relations for Slopes are applied in the analysis of pp and $\rm {p \bar p}$ scattering data in the forward range at energies below $\sqrt(s)\approx…

High Energy Physics - Phenomenology · Physics 2018-12-05 E. Ferreira , A. K. Kohara , J. Sesma

Recently the TOTEM experiment at the LHC has released measurements at $\sqrt{s} = 13$ TeV of the proton-proton total cross section, $\sigma_{tot}$, and the ratio of the real to imaginary parts of the forward elastic amplitude, $\rho$. Since…

High Energy Physics - Phenomenology · Physics 2019-10-30 M. Broilo , D. A. Fagundes , E. G. S. Luna , M. J. Menon

In this work the process of elastic hadron scattering is discussed. In particular, scattering amplitudes for the various Pomeron models are compared. In addition, differential elastic cross section as a function of the scattered proton…

High Energy Physics - Phenomenology · Physics 2017-08-10 P. Erland , R. Staszewski , M. Trzebinski , R. Kycia

We discuss some formal and fundamental aspects related with the replacement of integral dispersion relations by derivative forms, and their practical uses in high energy elastic hadron scattering, in particular $pp$ and $\bar{p}p$…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. F. Avila , M. J. Menon

The paper presents the phenomenological analysis of the energy dependence for the ratio of elastic to total cross section in proton-proton and antiproton-proton scattering. The analytic functions based on the study of low- and high-energy…

High Energy Physics - Phenomenology · Physics 2019-04-11 V. A. Okorokov

Evaluating the H(x, s; pp) scaling function of elastic proton-proton (pp) collisions from recent TOTEM data at sqrt(s) = 8 TeV and comparing it with the same function of elastic proton-antiproton (pp-) data of the D0 collaboration at…

High Energy Physics - Phenomenology · Physics 2024-06-27 T. Csörgő , T. Novák , R. Pasechnik , A. Ster , I. Szanyi

A simple model for elastic diffractive hadron scattering, reproducing the dip-bump structure is used to analyze PP and $\bar PP$ scattering. The main emphasis is on the delicate and non-trivial dynamics in the dip-bump region, near t=-1…

High Energy Physics - Phenomenology · Physics 2015-05-28 L. Jenkovszky , A. Lengyel , D. Lontkovskyi

A forward dispersion calculation is implemented for the spin polarizabilities $\gamma_1, ... ,\gamma_4$ of the proton and the neutron. These polarizabilities are related to the spin structure of the nucleon at low energies and are…

Nuclear Theory · Physics 2009-10-30 D. Drechsel , G. Krein , O. Hanstein

We calculate two-photon exchange amplitude for the elastic electron-proton scattering in the framework of dispersion relations. The imaginary part of the amplitude is determined by unitarity. Since in the unitarity relation intermediate…

Nuclear Theory · Physics 2008-11-26 Dmitry Borisyuk , Alexander Kobushkin

We study infrared contributions to semihard parton-parton interactions by considering an effective charge whose finite infrared behavior is constrained by a dynamical mass scale. Using an eikonal QCD-based model in order to connect this…

High Energy Physics - Phenomenology · Physics 2021-01-19 C. A. S. Bahia , M. Broilo , E. G. S. Luna

The theory of the perturbative pomeron, due to Lipatov and collaborators, is used to compute the probability of observing parton-parton elastic scattering and rapidity gaps between jets in hadron collisions at SSC and LHC energies.

High Energy Physics - Phenomenology · Physics 2007-05-23 Vittorio Del Duca

The differential cross-sections are calculated for proton-proton and proton-antiproton elastic scattering using the phenomenological model based on the analytic parameterizations for global scattering parameters (total cross-section and…

High Energy Physics - Phenomenology · Physics 2007-11-15 V. A. Okorokov , S. B. Nurushev

We consider several classes of analytic parametrizations of hadronic scattering amplitudes, and compare their predictions to all available forward data in hadron-hadron, gamma-p and gamma-gamma reactions. Although these parametrizations are…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. Nicolescu , J. R. Cudell , V. V. Ezhela , P. Gauron , K. Kang , Yu. V. Kuyanov , S. B. Lugovsky , E. Martynov , E. A. Razuvaev , N. P. Tkachenko

The region of the small and large momentum transfer is examined from a view point of the contribution of the different parts of the scattering amplitude, soft and hard pomeron, and odderon contribution. The new model taking into account the…

High Energy Physics - Experiment · Physics 2013-10-22 O. V. Selyugin

The theory of the perturbative pomeron, due to Lipatov and collaborators, is used to compute the probability of observing parton-parton elastic scattering and rapidity gaps between jets in hadron collisions at very high energies.

High Energy Physics - Phenomenology · Physics 2009-10-22 Vittorio Del Duca , Wai-Keung Tang

On the basis of the new high energy general structure (HEGS) model, which takes into account the different moments of the General Parton Distributions (GPDs) of the hadron, the quantitative descriptions of all existing experimental data…

High Energy Physics - Phenomenology · Physics 2015-06-23 O. V. Selyugin