Phase Variation Effect on Proton - Nucleus Elastic Scattering

1996 ◽  
Vol 49 (3) ◽  
pp. 655 ◽  
Author(s):  
Mohamed A Hassan ◽  
Hamed EA Awd-Allah ◽  
Samia SA Hassan ◽  
Ibrahim MA Tag El-Din
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Section ◽  
Scattering Amplitude ◽  
Phase Variation ◽  
Nucleon Nucleon ◽  
Free Nucleon ◽  
High Energies ◽  
Elastic Scattering Amplitude ◽  
Variation Parameter

Proton–deuteron elastic scattering at intermediate and high energies illustrates the importance of the phase variation of the nucleon–nucleon elastic scattering amplitude as in previous work. Two kinds of phase variation are examined. The first is the usual one which is related to free nucleon-free nucleon collisions as suggested by Franco. The second is assumed to be related to the time ordering of multi-scattering processes. The two kinds play similar roles in improving the results. The contributions of both kinds lead to a good fit to the experimental data at the energies considered. The value of the phase variation parameter in each kind (where they are considered together), which gives a good fit to the experimental data, are approximately the same and of order 4 (GeV / c)‾ 2. Also, with relatively small values of the phase variation parameter, the phase variation effect improves the agreement with the experimental data for the p–4He elastic scattering differential cross section at the minimum region in the energy range 97–393 GeV.

Study of p-4Hetotal reaction cross-section using Glauber and Coulomb-modified Glauber models

2014 ◽  
Vol 23 (03) ◽  
pp. 1450010 ◽  
Author(s):  
Ibrahim M. A. Tag El-Din ◽  
M. M. Taha ◽  
Samia S. A. Hassan
Keyword(s):  
Elastic Scattering ◽  
Energy Range ◽  
Cross Section ◽  
Reaction Cross Section ◽  
Scattering Amplitude ◽  
Phase Variation ◽  
Nucleon Nucleon ◽  
Reaction Cross ◽  
Pauli Blocking ◽  
Elastic Scattering Amplitude

The total nuclear reaction cross-section σRfor p-4He in the energy range from 25 MeV to 1000 MeV is calculated within Glauber and Coulomb-modified Glauber models. The Coulomb-modified Glauber model (CMGM) is introduced via modification of the Coulomb trajectory of the projectile from a straight line, and calculation of the effective radius of interaction. The effects of in-medium nucleon–nucleon (NN) total cross-section, phase variation, high order momentum transfer component of nucleon–nucleon elastic scattering amplitude and Pauli blocking are studied. It is pointed out that the phase variation of the nucleon–nucleon amplitude plays a significant role in describing σRwith γ = -1.6 fm2at in-medium nuclear density ϱ = 0 and γ = -2 fm2at ϱ = 0.17 fm-3in the whole energy range. A remarkable fit to the available experimental data is obtained by invoking Pauli blocking and high order momentum transfer of nucleon–nucleon (NN) elastic scattering amplitude for Ep< 100 MeV.

scholarly journals REAL PART OF THE $\bar pp$ ELASTIC SCATTERING AMPLITUDE AT $\sqrt{s} = 546\, {\rm GeV}$

1991 ◽  
Vol 06 (32) ◽  
pp. 2973-2975 ◽  
Author(s):  
CLAUDE BOURRELY ◽  
JACQUES SOFFER ◽  
TAI TSUN WU
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Section ◽  
Scattering Amplitude ◽  
Accurate Determination ◽  
The Real ◽  
Interference Region ◽  
Elastic Scattering Amplitude ◽  
Theoretical Predictions

In order to get an accurate determination of the real part of the [Formula: see text] elastic scattering amplitude at [Formula: see text], the Genoa–Palaiseau–Roma–Valencia collaboration plans to take experimental data on dσ/dt in the Coulomb interference region. We present detailed theoretical predictions for this cross-section. These predictions can be compared directly with the forthcoming data.

scholarly journals First determination of the $${\rho }$$ parameter at $${\sqrt{s} = 13}$$ TeV: probing the existence of a colourless C-odd three-gluon compound state

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
G. Antchev ◽  
P. Aspell ◽  
I. Atanassov ◽  
V. Avati ◽  
J. Baechler ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Total Cross Section ◽  
Cross Section ◽  
Scattering Amplitude ◽  
Theoretical Models ◽  
Proton Proton ◽  
Slowing Down ◽  
Proton Elastic Scattering ◽  
Compound State ◽  
Elastic Scattering Amplitude

Abstract The TOTEM experiment at the LHC has performed the first measurement at $$\sqrt{s} = 13\,\mathrm{TeV}$$s=13TeV of the $$\rho $$ρ parameter, the real to imaginary ratio of the nuclear elastic scattering amplitude at $$t=0$$t=0, obtaining the following results: $$\rho = 0.09 \pm 0.01$$ρ=0.09±0.01 and $$\rho = 0.10 \pm 0.01$$ρ=0.10±0.01, depending on different physics assumptions and mathematical modelling. The unprecedented precision of the $$\rho $$ρ measurement, combined with the TOTEM total cross-section measurements in an energy range larger than $$10\,\mathrm{TeV}$$10TeV (from 2.76 to $$13\,\mathrm{TeV}$$13TeV), has implied the exclusion of all the models classified and published by COMPETE. The $$\rho $$ρ results obtained by TOTEM are compatible with the predictions, from other theoretical models both in the Regge-like framework and in the QCD framework, of a crossing-odd colourless 3-gluon compound state exchange in the t-channel of the proton–proton elastic scattering. On the contrary, if shown that the crossing-odd 3-gluon compound state t-channel exchange is not of importance for the description of elastic scattering, the $$\rho $$ρ value determined by TOTEM would represent a first evidence of a slowing down of the total cross-section growth at higher energies. The very low-|t| reach allowed also to determine the absolute normalisation using the Coulomb amplitude for the first time at the LHC and obtain a new total proton–proton cross-section measurement $$\sigma _{\mathrm{tot}} = (110.3 \pm 3.5)\,\mathrm{mb}$$σtot=(110.3±3.5)mb, completely independent from the previous TOTEM determination. Combining the two TOTEM results yields $$\sigma _{\mathrm{tot}} = (110.5 \pm 2.4)\,\mathrm{mb}$$σtot=(110.5±2.4)mb.

scholarly journals The Profile of Inelastic Collisions from Elastic Scattering Data

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
I. M. Dremin
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Inelastic Collisions ◽  
Scattering Data ◽  
Inelastic Interaction ◽  
Unitarity Condition ◽  
Black Disk ◽  
Elastic Scattering Amplitude ◽  
Inelastic Processes

Using the unitarity relation in combination with experimental data about the elastic scattering in the diffraction cone, it is shown how the shape and the darkness of the inelastic interaction region of colliding protons change with increase of their energies. In particular, the collisions become fully absorptive at small impact parameters at LHC energies that results in some special features of inelastic processes. Possible evolution of this shape with the dark core at the LHC to the fully transparent one at higher energies is discussed that implies that the terminology of the black disk would be replaced by the black toroid. The approach to asymptotics is disputed. The ratio of the real to imaginary parts of the nonforward elastic scattering amplitude is briefly discussed. All the conclusions are only obtained in the framework of the indubitable unitarity condition using experimental data about the elastic scattering of protons in the diffraction cone without any reference to quantum chromodynamics (QCD) or phenomenological approaches.

Multipomeron theory in the Gribov approach

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645013
Author(s):  
V. A. Abramovsky ◽  
N. V. Abramovskaya ◽  
N. V. Evstigneeva
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Imaginary Part ◽  
Cross Sections ◽  
Energy Region ◽  
Scattering Amplitude ◽  
The Real ◽  
Elastic Scattering Amplitude

Pomeron and non vacuum reggeon parameters which reasonably describe total and elastic cross sections are obtained. The ratio of the real and imaginary part of the forward elastic scattering amplitude is calculated with these parameters and it coincides with the experimental data in the whole energy region. The shower enhancement coefficient in the quasi-eikonal approach appears to be less than unity which corresponds to the definite distribution of parton showers in incident hadrons.

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.

Diffractive results from CDF

2015 ◽  
Vol 30 (08) ◽  
pp. 1542003 ◽  
Author(s):  
Konstantin Goulianos
Keyword(s):  
Elastic Scattering ◽  
Total Cross Section ◽  
Cross Section ◽  
Imaginary Part ◽  
Scattering Amplitude ◽  
Pomeron Exchange ◽  
Optical Theorem ◽  
Double Dissociation ◽  
Elastic Scattering Amplitude ◽  
Theoretical Predictions

We present a reference review of diffractive results from CDF for [Formula: see text] collisions at [Formula: see text], 630, 1800, and 1960 GeV at the Tevatron, published in 19 PRL/PRD papers from 1994 to 2012. Both soft and hard diffractive results are included for single and/or double dissociation, central diffraction or double Pomeron exchange (where both the proton and antiproton remain intact), multi-gap diffraction (a combination of single and double dissociation), elastic scattering, and the total cross-section, which through the optical theorem is related to the imaginary part of the forward elastic scattering amplitude. In each review, we include the comparisons made by CDF with theoretical predictions.

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