Asymptotics and zeros of the imaginary part of the 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.

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Analytization of elastic scattering amplitude

Modern Physics Letters A ◽

10.1142/s0217732317500286 ◽

2017 ◽

Vol 32 (04) ◽

pp. 1750028 ◽

Cited By ~ 4

Author(s):

S. M. Troshin ◽

N. E. Tyurin

Keyword(s):

Elastic Scattering ◽

Imaginary Part ◽

Scattering Amplitude ◽

The Real ◽

Elastic Scattering Amplitude

Scenario for restoration of the real part of the elastic scattering amplitude has been proposed for the unitarity saturation case. Dependence of the real part of the elastic scattering amplitude on the transferred momentum [Formula: see text] at the asymptotical energies has been restored from the corresponding imaginary part on the basis of derivative analyticity relations (analytization procedure).

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Measurement of ρ, the ratio of the real to the imaginary part of thep¯pforward elastic-scattering amplitude, at √s=1.8 TeV

Physical Review Letters ◽

10.1103/physrevlett.68.2433 ◽

1992 ◽

Vol 68 (16) ◽

pp. 2433-2436 ◽

Cited By ~ 122

Author(s):

N. A. Amos ◽

C. Avila ◽

W. F. Baker ◽

M. Bertani ◽

M. M. Block ◽

...

Keyword(s):

Elastic Scattering ◽

Imaginary Part ◽

Scattering Amplitude ◽

The Real ◽

Elastic Scattering Amplitude

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Diffractive results from CDF

International Journal of Modern Physics A ◽

10.1142/s0217751x15420038 ◽

2015 ◽

Vol 30 (08) ◽

pp. 1542003 ◽

Cited By ~ 1

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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Cul-De-Sac of the Spatial Image of Proton Interactions

Physics ◽

10.3390/physics1010004 ◽

2019 ◽

Vol 1 (1) ◽

pp. 33-39 ◽

Cited By ~ 4

Author(s):

Igor Dremin

Keyword(s):

Elastic Scattering ◽

Impact Parameter ◽

Imaginary Part ◽

Parameter Space ◽

Scattering Amplitude ◽

Unitarity Condition ◽

Spatial Image ◽

Elastic Scattering Amplitude ◽

Impact Parameter Space ◽

The Impact

The unitarity condition in the impact parameter space is used to obtain some information about the shape of the interaction region of colliding protons. It is shown that, strictly speaking, a reliable conclusion can be gained only if the behavior of the elastic scattering amplitude (especially, its imaginary part) at all transferred momenta is known. This information is currently impossible to obtain from experimentation. In practice, several assumptions and models are used. They lead to different results as shown below.

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