A Stieltjes extrapolation to the unphysical cut of the K p forward elastic amplitude

1986 ◽  
Vol 12 (10) ◽  
pp. 947-957 ◽  
Author(s):  
J Antolin ◽  
A Cruz
Keyword(s):  
Elastic Amplitude

scholarly journals The elastic differential pp cross-section at 13 TeV: an empirical model analysis

2019 ◽  
Vol 206 ◽  
pp. 06003
Author(s):  
Agnes Grau ◽  
Simone Pacetti ◽  
Giulia Pancheri ◽  
Yogendra N. Srivastava
Keyword(s):  
Cross Section ◽  
Empirical Model ◽  
Model Analysis ◽  
Cross Section Data ◽  
Elastic Amplitude ◽  
The Real ◽  
Section Data ◽  
Interference Region ◽  
Nuclear Interference ◽  
Coulomb Nuclear Interference

We discuss the differential elastic pp cross-section data measured at 13 TeV, through the Coulomb Nuclear Interference region until past the dip. We show that data are consistent with the asymptotic predictions from an empirical model and examine the presence of a zero for the real part of the elastic amplitude near the Coulomb region, well before the dip.

scholarly journals Unitarisation dependence of diffractive scattering in light of high-energy collider data

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Arno Vanthieghem ◽  
Atri Bhattacharya ◽  
Rami Oueslati ◽  
Jean-René Cudell
Keyword(s):  
Imaginary Part ◽  
Cross Sections ◽  
Cosmic Ray ◽  
High Energy ◽  
Additional Parameter ◽  
Elastic Amplitude ◽  
The Real ◽  
Diffractive Scattering ◽  
Diffractive Data ◽  
High Energy Collider

Abstract We study the consequences of high-energy collider data on the best fits to total, elastic, inelastic, and single-diffractive cross sections for pp and $$ p\overline{p} $$ p p ¯ scattering using different unitarisation schemes. We find that the data are well fitted both by eikonal and U-matrix schemes, but that diffractive data prefer the U-matrix. Both schemes may be generalised by means of an additional parameter; however, this yields only marginal improvements to the fits. We provide estimates for ρ, the ratio of the real part to the imaginary part of the elastic amplitude, for the different fits. We comment on the effect of the different schemes on present and future cosmic ray data.

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