Physical meaning of the phase of high energy elastic scattering amplitude

1989 ◽  
Vol 39 (11) ◽  
pp. 1245-1255 ◽  
Author(s):  
V. Kundrát ◽  
M. Lokajíček ◽  
D. Krupa
Keyword(s):  
Elastic Scattering ◽  
Physical Meaning ◽  
Scattering Amplitude ◽  
High Energy ◽  
Elastic Scattering Amplitude

scholarly journals ANALYSIS OF pp AND $\bar pp$ ELASTIC SCATTERING BASED ON HIGH ENERGY BOUNDS

2010 ◽  
Vol 25 (29) ◽  
pp. 5333-5348 ◽  
Author(s):  
S. D. CAMPOS ◽  
V. A. OKOROKOV
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Hadron Collider ◽  
High Energy ◽  
Scattering Data ◽  
Optical Theorem ◽  
Proton Proton ◽  
Proton Elastic Scattering ◽  
Energy Bounds ◽  
Elastic Scattering Amplitude

Considering the Froissart–Martin bound, Jin–Martin–Cornille bound and the optical theorem, we propose a novel parametrization for the total cross-section of proton–proton and antiproton–proton elastic scattering data. Using derivative dispersion relations we obtain the real part of the elastic scattering amplitude and thus the ρ parameter. Simultaneous fits to σtot and ρ are performed allowing very good statistical descriptions of the available data. Furthermore, predictions to σtot and ρ at energies not used in the fit procedures are presented. For σtot we obtain predictions at RHIC, LHC and future hadron collider energies.

Glaubere−- Li elastic scattering amplitude

1976 ◽  
Vol 14 (1) ◽  
pp. 189-192 ◽  
Author(s):  
F. T. Chan ◽  
C. H. Chang
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Elastic Scattering Amplitude

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.

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