NEW UNDERSTANDING OF THE DIFFRACTIVE SCATTERING OF HADRONS AT HIGH ENERGIES: THE BLACKENING AND INCREASING EFFECTIVE INTERACTION AREA OF THE PROTON

1992 ◽  
Vol 07 (28) ◽  
pp. 2559-2565 ◽  
Author(s):  
SAUL BARSHAY ◽  
PATRICK HEILIGER ◽  
DIETER REIN
Keyword(s):  
Cross Sections ◽  
Scattering Amplitude ◽  
Effective Interaction ◽  
High Energy ◽  
Total Cross Sections ◽  
Energy Process ◽  
High Energies ◽  
Diffractive Scattering ◽  
Richard Feynman ◽  
High Energy Process

A new structure for the high-energy diffractive scattering amplitude is derived in two complementary ways (one of them recently revealed as due to Richard Feynman). Total cross-sections increase, due to a blackening of the interaction and also due to an effect which leads to an increase in the effective interaction area at fixed opacity. These features are dynamically related to the dominant high-energy process of multiparticle production.

scholarly journals Some Recent Results on High-Energy Proton Interactions

Particles ◽  
2019 ◽  
Vol 2 (1) ◽  
pp. 57-69 ◽  
Author(s):  
I. M. Dremin
Keyword(s):  
Cross Sections ◽  
Scattering Amplitude ◽  
High Energy ◽  
Unitarity Condition ◽  
Total Cross Sections ◽  
Energy Proton ◽  
Elastic Scattering Amplitude ◽  
Energy Behavior ◽  
Impact Parameter Space ◽  
The Impact

Recent experimental results about the energy behavior of the total cross sections, the share of elastic and inelastic contributions to them, the peculiar shape of the differential cross section and our guesses about the behavior of real and imaginary parts of the elastic scattering amplitude are discussed. The unitarity condition relates elastic and inelastic processes. Therefore it is used in the impact-parameter space to get some information about the shape of the interaction region of colliding protons by exploiting new experimental data. The obtained results are described.

scholarly journals GAUGE/STRING-GRAVITY DUALITY AND FROISSART BOUND

2005 ◽  
Vol 20 (06) ◽  
pp. 1286-1294
Author(s):  
KYUNGSIK KANG
Keyword(s):  
Cross Sections ◽  
Particle Physics ◽  
Scattering Amplitude ◽  
Conformal Symmetry ◽  
High Energy ◽  
Total Cross Sections ◽  
Regge Behavior ◽  
Energy Behavior ◽  
Gravity Duality ◽  
String Gravity

The gauge/string-gravity duality correspondence opened renewed hope and possibility to address some of the fundamental and non-perturbative QCD problems of in particle physics, such as hadron spectrum and Regge behavior of the scattering amplitude at high energies. One of the most fundamental and long-standing problems is the high energy behavior of the total cross-sections. According to a series of exhaustive tests by the COMPETE group, (1) total cross sections have a universal Heisenberg behavior in energy corresponding to the maximal energy behavior allowed by the Froissart bound, i.e., A+B ln 2(s/s0) with B~0.32 mb and s0~34.41 GeV2 for all reactions, and (2). The factorization relation among σpp,even, σγp and σγγ is well satisfied by experiments. I discuss the recent interesting application of the gauge/string-gravity duality of AdS/CFT correspondence with a deformed background metric so as to break the conformal symmetry that lead to the Heisenberg behavior of rising total cross sections, and present some preliminary results on the high energy QCD from Planckian scattering in AdS and black-hole production.

scholarly journals Dipole Pomeron and Proton-Proton Elastic Scattering at High Energies

1980 ◽  
Vol 33 (3) ◽  
pp. 481 ◽  
Author(s):  
Mohammad Saleem ◽  
Fazal-e Aleem ◽  
Mujahid Kamran
Keyword(s):  
Elastic Scattering ◽  
Energy Range ◽  
Cross Sections ◽  
High Energy ◽  
Proton Proton ◽  
Total Cross Sections ◽  
High Energies ◽  
Proton Elastic Scattering

The differential and total cross sections for high energy pp elastic scattering in the energy range 30�8:;;; st :;;; 62 GeV, with -t extending up to 8 (GeV/c)2, have been fitted with a dipole pomeron model.

scholarly journals GLUON SATURATION AND THE FROISSART BOUND: A SIMPLE APPROACH

2008 ◽  
Vol 23 (33) ◽  
pp. 2847-2857 ◽  
Author(s):  
F. CARVALHO ◽  
F. O. DURÃES ◽  
V. P. GONÇALVES ◽  
F. S. NAVARRA
Keyword(s):  
Cross Sections ◽  
High Energy ◽  
Simple Approach ◽  
Strong Interactions ◽  
Color Glass ◽  
Momentum Scale ◽  
Total Cross Sections ◽  
High Energies ◽  
Gluon Saturation ◽  
Very High

At very high energies we expect that the hadronic cross sections satisfy the Froissart bound, which is a well-established property of the strong interactions. In this energy regime we also expect the formation of the Color Glass Condensate, characterized by gluon saturation and a typical momentum scale: the saturation scale Qs. In this paper we show that if a saturation window exists between the nonperturbative and perturbative regimes of Quantum Chromodynamics (QCD), the total cross sections satisfy the Froissart bound. Furthermore, we show that our approach allows us to describe the high energy experimental data on [Formula: see text] total cross sections.

Pion-nucleon scattering at high energies

1966 ◽  
Vol 289 (1419) ◽  
pp. 500-508 ◽  
Keyword(s):  
Experimental Data ◽  
Cross Section ◽  
Charge Exchange ◽  
Cross Sections ◽  
Scattering Amplitude ◽  
Forward Scattering Amplitude ◽  
Nucleon Scattering ◽  
Total Cross Sections ◽  
High Energies ◽  
Pion Nucleon

The charge exchange forward scattering amplitude 1.1 1.2 using an interpolation of the total cross sections which includes the results presented by Dr Galbraith at this meeting. From F (-) follows a prediction for the charge exchange forward cross section (c.m. system) 1.3 which will be compared with the experimental data including those presented by Dr Falk-Vairant and Dr Guerriero.

scholarly journals Aspects of the fundamental theory of proton-proton scattering

1973 ◽  
Vol 335 (1603) ◽  
pp. 503-507 ◽  
Keyword(s):  
Cross Sections ◽  
High Energy ◽  
Positive Real Part ◽  
Proton Scattering ◽  
Qualitative Behaviour ◽  
Positive Real ◽  
Proton Proton ◽  
Total Cross Sections ◽  
High Energies ◽  
Energy Bound

After recalling the existence of a high energy bound on proton-proton total cross-sections, we discuss the various phenomena which occur when these cross-sections rise and especially when they have the qualitative behaviour of the bound : rising elastic cross-sections, shrinking diffraction peak, validity of the Pomeranchuk theorem for total and elastic cross-sections, existence of a positive real part of the forward amplitude at high energies.

scholarly journals γγ TOTAL CROSS-SECTION AT HIGH ENERGIES

2000 ◽  
Vol 15 (01) ◽  
pp. 9-13 ◽  
Author(s):  
C. BOURRELY ◽  
J. SOFFER ◽  
TAI TSUN WU
Keyword(s):  
Total Cross Section ◽  
Cross Section ◽  
Cross Sections ◽  
High Energy ◽  
Total Cross Sections ◽  
Energy Scattering ◽  
High Energies ◽  
High Energy Scattering ◽  
The Impact

We show that the rising total cross-sections σ(γγ→ hadrons) recently observed by the L3 and OPAL collaborations at LEP are fully consistent with the impact-picture for high-energy scattering. The impact picture is then used to predict this γγ total cross-section at higher energies, and confirm the universal increase of total cross-sections including those of pp, [Formula: see text] and γp.

scholarly journals Total cross sections of eγ → $$ eX\overline{X} $$ processes with X = μ, γ, e via multiloop methods

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Roman N. Lee ◽  
Alexey A. Lyubyakin ◽  
Vyacheslav A. Stotsky
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Elliptic Integral ◽  
High Energy ◽  
Calculation Methods ◽  
Complete Elliptic Integral ◽  
Total Cross Sections ◽  
Multiloop Calculation ◽  
The Cross ◽  
Analytical Expressions

Abstract Using modern multiloop calculation methods, we derive the analytical expressions for the total cross sections of the processes e−γ →$$ {e}^{-}X\overline{X} $$ e − X X ¯ with X = μ, γ or e at arbitrary energies. For the first two processes our results are expressed via classical polylogarithms. The cross section of e−γ → e−e−e+ is represented as a one-fold integral of complete elliptic integral K and logarithms. Using our results, we calculate the threshold and high-energy asymptotics and compare them with available results.

Total Cross Sections of Liquefied Gases for High-Energy Neutrons

1954 ◽  
Vol 96 (1) ◽  
pp. 115-120 ◽  
Author(s):  
Peter Hillman ◽  
R. H. Stahl ◽  
N. F. Ramsey
Keyword(s):  
Cross Sections ◽  
High Energy ◽  
Total Cross Sections
Sign in / Sign up

Export Citation Format

Share Document