Proton-Proton Elastic Scattering Analysis
Summary
Proton–proton elastic scattering is a fundamental process in which two protons interact and emerge intact, exchanging momentum without producing additional particles. The study of this process centres on measuring the differential cross section as a function of the four-momentum transfer squared (t), revealing characteristic features such as the exponential diffraction cone at low |t|, the diffractive minimum (“dip”) and the subsequent bump at intermediate |t|, and the power-law tail at high |t|. Precision measurements in the Coulomb–nuclear interference region near t→0 enable direct determination of the total cross section via the optical theorem and yield the ρ-parameter, the ratio of the real to the imaginary part of the forward scattering amplitude. The pattern of elastic scattering encodes information on proton structure, the spatial distribution of matter, and non-perturbative aspects of quantum chromodynamics. The interplay between experimental data and theoretical models—ranging from Regge theory and eikonal formalisms to modern QCD-inspired Monte Carlo generators—continues to refine our understanding of strong interactions at TeV energies, with implications for cosmic-ray physics, accelerator design and the search for novel colour-odd exchanges such as the odderon.
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Proton-Proton Elastic Scattering Analysis publication trend
The graph below shows the total number of articles in proton-proton elastic scattering analysis across all publications each year (not limited to Nature Index journals).
Technical terms
Elastic scattering: Interaction in which the colliding protons emerge intact without particle production.
Differential cross section: Probability density for scattering as a function of the momentum transfer variable t.
Mandelstam variable t: Four-momentum transfer squared between incoming and outgoing protons.
Optical theorem: Relation connecting the forward elastic scattering amplitude to the total cross section.
ρ-parameter: Ratio of the real part to the imaginary part of the forward elastic amplitude.
Odderon: Hypothetical t-channel exchange of a colourless, C-odd three-gluon compound.
References
- QGSJET-III model of high energy hadronic interactions: The formalism. Physical Review D (2024).
- Measurement of the total cross section and ρ-parameter from elastic scattering in pp collisions at s=13 TeV with the ATLAS detector. European Physical Journal C (2023).
- Odderon Exchange from Elastic Scattering Differences between pp and pp¯ Data at 1.96 TeV and from pp Forward Scattering Measurements. Physical Review Letters (2021).
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