A possible pomeron building mechanism in the fragmentation region

1978 ◽  
Vol 56 (9) ◽  
pp. 1142-1149
Author(s):  
C. G. Georgalas ◽  
P. H. Papargyropoulos
Keyword(s):  
Integral Equation ◽  
Cross Section ◽  
Cross Sections ◽  
Inclusive Cross Section ◽  
High Energy ◽  
Fragmentation Region ◽  
Total Cross Sections ◽  
Energy Hadron ◽  
The One ◽  
Good Agreement

By the use of a Regge parametrization of the one-particle inclusive cross section in the fragmentation region, an integral equation is obtained for the high-energy hadron–hadron inelastic cross section. The main assumptions used in the derivation of this integral equation are: (i) When two hadrons collide with sufficiently high energy, the elastic, inelastic, and total cross sections have the same energy dependence and (ii) Unitarity and factorization of Regge residues hold also for Reggeon–hadron 'amplitudes'. The solution of the integral equation, i.e., the function σinel(s) can be made constant or slowly increasing. For 'reasonable' values of all the parameters involved, it is in very good agreement with the high energy pp data.

ELASTIC AND INELASTIC SCATTERING OF POSITRONS BY POTASSIUM ATOMS

2007 ◽  
Vol 21 (10) ◽  
pp. 625-637 ◽  
Author(s):  
SALAH YASEEN EL-BAKRY
Keyword(s):  
Total Cross Section ◽  
Cross Section ◽  
Cross Sections ◽  
Positronium Formation ◽  
Electron Model ◽  
Static Approximation ◽  
Total Cross Sections ◽  
Energy Formula ◽  
The One ◽  
Good Agreement

The investigations of the elastic and inelastic collisions of positrons with potassium atoms, K (1s2, 2s2, 2p6, 3s2, 3p6, 4s), are presented. The potassium target atoms are described using Clementi–Roetti wavefunctions within the framework of the one-valence-electron model. The total cross-sections which correspond to eight partial cross-sections are calculated at 34 values of the incident energy [Formula: see text] using the coupled-static approximation. The resulting total elastic, ground- and excited-positronium formation cross-sections are compared with experimental results and those calculated by other authors. In the vicinity of 6 eV, and consistent with the measurements of Parikh et al.,2 our total cross-section displays a pronounced peak. We support the conclusion of McAlinden et al.15 and Hewitt et al.14 that above about 4 eV, positronium formation is mainly into excited states. Good agreement is obtained with the total cross-section measurements of Kwan et al.1 and Parikh et al.2 Positronium formation is not important above about 50 eV.

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.

Proton-proton scattering at the C. E. R. N. Intersecting Storage Rings

1973 ◽  
Vol 335 (1603) ◽  
pp. 431-452 ◽  
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
High Energy ◽  
Storage Rings ◽  
The Other ◽  
Proton Scattering ◽  
High Energy Proton ◽  
Proton Proton ◽  
Total Cross Sections ◽  
Energy Proton

The main features of the C. E. R. N. Intersecting Storage Rings (I. S. R.) are reviewed, together with results obtained in 1971 and 1972 on elastic scattering and total cross-sections. The main result is a 10% increase of the total proton-proton cross-section in the I. S. R. energy range. The simplest picture of high energy proton-proton scattering which emerges from this and the other data, is briefly discussed.

Modeling $\bar{p}p$ and recent LHC pp total cross-sections

2014 ◽  
Vol 29 (08) ◽  
pp. 1450044 ◽  
Author(s):  
Amr Radi ◽  
Esraa El-Khateeb
Keyword(s):  
Neural Network ◽  
Total Cross Section ◽  
Cross Section ◽  
Cross Sections ◽  
Hadron Collider ◽  
Center Of Mass ◽  
High Energy ◽  
Ann Model ◽  
Predicted Values ◽  
Good Agreement

New technique is presented for modeling total cross-section of both pp and [Formula: see text] collisions from low to ultra high energy regions using an efficient artificial neural network (ANN). We have used the input (center-of-mass energy, [Formula: see text], and type of particle P) and output (total cross-section σ tot ) data to build a prediction model by ANN. The neural network has been trained to produce a function that studies the dependence of σ tot on [Formula: see text] and P. The trained ANN model shows a good performance in matching the trained distributions, predicts cross-sections that are not presented in the training set. The general trend of the predicted values shows a good agreement with the recent Large Hadron Collider (LHC) measurements, where the total cross-section at [Formula: see text] and 8 TeV are measured to be 98.6 mb and 101.7 mb, respectively. The predicted values of the total cross-section at [Formula: see text] and 14 TeV are found to be 105.8 mb and 111.7 mb, respectively. Those predictions are in good agreement with Block, Cudell and Nakamura.

scholarly journals Hadron wave functions in high-energy scattering, form factors and strong decays: The effects of the Lorentz contracted form

2021 ◽  
Vol 36 (37) ◽  
Author(s):  
Yu. A. Simonov
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Lorentz Invariance ◽  
Form Factors ◽  
High Energy ◽  
Wave Functions ◽  
Large Momentum ◽  
Momentum Dependence ◽  
Lorentz Contraction ◽  
Energy Hadron

In this paper, we study the class of the processes, where dynamics depends essentially on the properties of the hadron wave functions involved in the reactions. In this case, the momentum dependence of the form of the wave functions, imposed by the Lorentz invariance and in particular by the Lorentz contraction, can be tested in the experiment and may strongly influence the resulting cross-sections. One example of such observables is given by the hadron form factors in the case when the large [Formula: see text] behavior is mostly frozen, while the Lorentz contraction of the hadron wave functions is taken into account. Another example, considered earlier, is the strong hadron decay with high-energy emission. In this paper, we study the role of the Lorentz contraction in the high-energy hadron–hadron scattering process at large momentum transfer. For the [Formula: see text] and [Formula: see text] scattering at large [Formula: see text], it is shown that at small [Formula: see text], the picture of two exponential slopes in the differential cross-section, explained previously by the author, remains stable, while the backward scattering cross-section is strongly increased by the Lorentz contraction.

THE SPIN CONTRIBUTION TO THE pp-TOTAL CROSS-SECTION AT HIGH ENERGY

1998 ◽  
Vol 13 (09) ◽  
pp. 1515-1522 ◽  
Author(s):  
E. A. ANDREEVA ◽  
M. N. STRIKHANOV ◽  
S. B. NURUSHEV
Keyword(s):  
Total Cross Section ◽  
Cross Section ◽  
Cross Sections ◽  
High Energy ◽  
Spin Projection ◽  
Total Cross Sections ◽  
Spin Effects ◽  
Dependent Term ◽  
Spin Interactions ◽  
200 Gev

The experimental data on the pp-total cross-sections including the spin-dependent parts are analyzed with the goal to determine the contribution of spin interactions at high energies. Based on the Regge model with cuts, the energy dependencies of such contributions are estimated for two spin-dependent terms: (1) the total spin dependent term, σ1 and (2) the spin projection dependent term, σ2. The estimates show that their contributions to the unpolarized total cross section, σ0, decrease with energy from several % around 2 GeV/c to 10-2% around 200 GeV/c. The assumption σ1= -σ2 does not seem to be correct, while the hypothesis 3 σ1=-σ2 is more preferable, especially in the measured energy interval 2-6 GeV. There is a clear indication that the spin effects are sensitive to the pomeron intercept at - t=0 (GeV/c)2. In order to pin down such effects the spin dependent total cross-sections must be measured with precisions better than 10 μb at 200 GeV/c.

scholarly journals On the role of longitudinal momenta in high energy hadron-hadron scattering

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Igor Sharf ◽  
Andrii Tykhonov ◽  
Grygorii Sokhrannyi ◽  
Maksym Deliyergiyev ◽  
Natalia Podolyan ◽  
...  
Keyword(s):  
Inelastic Scattering ◽  
Cross Section ◽  
Cross Sections ◽  
High Energy ◽  
Momentum Conservation ◽  
Scattering Cross ◽  
Energy Hadron ◽  
Scattering Cross Sections ◽  
Energy Momentum Conservation

AbstractWe demonstrate a new method to calculate inelastic scattering cross-sections, which in contrary to the Regge-based methods takes into account the energy momentum conservation law. It is shown that the main contribution to integral expressing inelastic scattering cross-sections does not come from the multi-Regge domain. In particular, accounting for the longitudinal momenta contribution to virtualities is sufficient and results in the new mechanism of cross-section growth. The reasons for taking into account the sufficiently high number of interference contributions are shown and the approximate method for this purpose is developed. By fitting single free parameter of the model achieved a qualitative agreement of the total and inelastic cross sections with experimental data.

scholarly journals Inverse bremsstrahlung cross section estimated within evolving plasmas using effective ion potentials

2009 ◽  
Vol 75 (3) ◽  
pp. 289-301 ◽  
Author(s):  
F. WANG ◽  
E. WECKERT ◽  
B. ZIAJA
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Vacuum Ultraviolet ◽  
Debye Length ◽  
High Energy ◽  
Plasma Parameters ◽  
Total Cross Sections ◽  
Inverse Bremsstrahlung ◽  
Plasma Environment ◽  
High Energy Absorption

AbstractWe estimate the total cross sections for field-stimulated photoemissions and photoabsorptions by quasi-free electrons within a non-equilibrium plasma evolving from the strong coupling to the weak coupling regime. Such a transition may occur within laser-created plasmas, when the initially created plasma is cold but the heating of the plasma by the laser field is efficient. In particular, such a transition may occur within plasmas created by intense vacuum ultraviolet (VUV) radiation from a free-electron laser (FEL) as indicated by the results of the first experiments performed by Wabnitz at the FLASH facility at DESY. In order to estimate the inverse bremsstrahlung cross sections, we use point-like and effective atomic potentials. For ions modelled as point-like charges, the total cross sections are strongly affected by the changing plasma environment. The maximal change of the cross sections may be of the order of 75 at the change of the plasma parameters: inverse Debye length, κ, in the range κ = 0 − 3 Å−1 and the electron density, ρe, in the range ρe = 0.01 − 1 Å−3. These ranges correspond to the physical conditions within the plasmas created during the first cluster experiments performed at the FLASH facility at DESY. In contrast, for the effective atomic potentials the total cross sections for photoemission and photoabsorption change only by a factor of seven at most in the same plasma parameter range. Our results show that the inverse bremsstrahlung cross section estimated with the effective atomic potentials is not affected much by the plasma environment. This observation validates the estimations of the enhanced heating effect obtained by Walters, Santra and Greene. This is important as this effect may be responsible for the high-energy absorption within clusters irradiated with VUV radiation.

scholarly journals AGK CUTTING RULES AND PERTURBATIVE QCD

1996 ◽  
Vol 11 (04) ◽  
pp. 613-654 ◽  
Author(s):  
D. TRELEANI
Keyword(s):  
Perturbative Qcd ◽  
Cross Section ◽  
Cross Sections ◽  
Parton Model ◽  
Single Scattering ◽  
High Energy ◽  
The Self ◽  
Energy Hadron ◽  
Three Body ◽  
Soft Interactions

The purpose of this article is to describe a few features of semihard interactions, in high energy nuclear collisions, that are better understood with the help of the AGK cutting rules, and of the probabilistic picture of the interaction which follows. In the first part of the article the cutting rules are discussed for the simplest component of the forward three-body parton amplitude in the large s fixed t limit. The case considered corresponds to the term — at the lowest order in the coupling constant and with vacuum quantum number exchange in both t channels — of the amplitude which describes the interaction of a high energy quark with the two target quarks. The different leading cuts of the amplitude are shown to be proportional to one another with the same weights of the cutting rules derived in the context of multi-Pomeron exchange. The probabilistic picture of the multiple interactions, which originates from the cutting rules, and the self-shadowing cross sections are then discussed. The second part of the article deals with the semihard interactions. The semihard cross section in high energy nucleus–nucleus collisions is represented as a self-shadowing cross section, and a feature which is pointed out is that the single scattering factorized expression of the perturbative QCD parton model holds at any order in the multiparton correlations, the relation being the analog of the AGK cancellation for the average number of soft interactions in high energy hadron–nucleus collisions. Finally, an infrared problem which finds a solution within the self-shadowing representation of the semihard cross section is discussed.

scholarly journals Formation of non-excited and excited hydrogen in proton–lithium inelastic scattering

2016 ◽  
Vol 94 (1) ◽  
pp. 75-78 ◽  
Author(s):  
S.A. Elkilany ◽  
A.A. Al-Dhawi
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Lithium Atom ◽  
Basis Functions ◽  
Hydrogen Formation ◽  
Electron Model ◽  
Static Approximation ◽  
Total Cross Sections ◽  
First Time ◽  
Good Agreement

The collisions of a proton with a lithium atom are treated for the first time as a three-channel problem under the assumption that the elastic and hydrogen formation in non-excited, H(1s), and excited, H(2s), channels are open. The effect of polarization potentials of the target and hydrogen formation is considered. A one-valence-electron model for the target, based on the Clementi–Roetti Slater-type basis functions, as well as a modified coupled-static approximation are used to calculate the partial and total cross sections of seven partial waves (0 ≤ ℓ ≤ 6, where ℓ is the total angular momentum) at incident energies between 50 and 500 keV. Our values of the total cross section are in good agreement with previous results.

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