Topics on high-energy elastic hadron scattering

Abstract

We review the main results we have obtained in the area of high-energy elastic hadron scattering and presented in this series of Workshops on Hadron Interactions. After an introduction to some basic experimental and theoretical concepts, we survey the results reached by means of four approaches: analytic models, modelindependent analyses, eikonal models and nonperturbative QCD. Some of the ongoing researches and future perspectives are also outlined.

Eikonal model analysis of elastic proton-proton collisions at 52.8 GeV and 8 TeV

“…Similar amplitude characteristics have been used as a starting point of many analyses concerning the elastic pp and pp scattering at different energies; see, e.g., [4,[8][9][10][11][12][13][14][15][16][17][18][19]. These authors have tried to determine the elastic hadronic amplitude directly from the experimental data of dσ dt provided the following assumptions were accepted [7]: the elastic hadronic amplitude has been taken as smoothly energy dependent and purely imaginary.…”

“…The role of the real part has been admitted only as a small partial fraction of corresponding imaginary part, i.e., the number of its contributing terms has been smaller than n (as, e.g., in [7,10,11,15]); or specified with the help of derivative dispersion relations as in [9,[12][13][14]18]. Also additional linear logarithmic t-dependencies of all quantities β j (s) and quadratic logarithmic t-dependencies of all quantities α j (s) have been introduced in order to better reproduce the corresponding differential cross section.…”

“…It has been almost generally assumed (under the influence of the WY approach) that imaginary part of hadronic amplitude has been dominant in a broad region of t around forward direction and that it has vanished around the region of diffractive minimum. It has concerned nearly all contemporary models of elastic (hadronic) scattering including the most recently published papers, see e.g., [4,[7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26].…”

Proton--proton and proton--antiproton differential elastic cross sections modeling at high and ultra-high energies using a hybrid computing paradigm

“…Proton-proton ( pp) and proton-antiproton ( P P ) cross sections at high energy are the first studies performed when a new hadron accelerator opens up a new energy region. The study of the total P P and P P cross section and its various subcomponents (elastic, inelastic, and diffractive) is a very powerful tool to understand the strong interaction mechanism [1][2][3][4][5][6]. Elastic pp and pp scattering is the most essential component in high energy hadronic interactions to investigate the structure of the proton [7].…”

“…The "total cross section" σ pp, pp tot can be obtained from the calculation of elastic scattering ones depending on the * Correspondence: e eldahshan@yahoo.com "optical theorem" [10,11]. The investigation of high energy P P and P P elastic cross section depends mainly on the "center of mass energy" ( √ s) and the "four-momentum transfer squared" (t) [1][2][3][4][5].…”