Elastic $\mathrm{p}\bar{\mathrm{p}}$ Scattering Amplitude at 1.8 TeV and Determination of Total Cross Section

Abstract

The data on p$\bar{\mathrm{p}}$ elastic scattering at 1.8 and 1.96 TeV are analysed in terms of real and imaginary amplitudes, in a treatment with high accuracy, covering the whole t-range and satisfying the expectation of dispersion relation for amplitudes and for slopes. A method is introduced for determination of the total cross section and the other forward scattering parameters and to check compatibility of E-710, CDF and the recent D0 data. Slopes $B_R$ and $B_I$ of the real and imaginary amplitudes, treated as independent quantities, influence the amplitudes in the whole t-range and are important for the determination of the total cross section. The amplitudes are fully constructed, and a prediction is made of a marked dip in $d\sigma /dt$ in the $|t|$ range 3 - 5 GeV${}^2$ due to the universal contribution of the process of three gluon exchange.

22 pages, 12 figures, 2 tables

References in corpus (4)

• Measurement of the proton-air cross-section at $\sqrt{s}=57$ TeV with the Pierre Auger Observatory
• Measurement of the differential cross section dσ/dt in elastic $p\bar{p}$ scattering at sqrt(s)=1.96 TeV
• Determination of the forward slope in $pp$ and $\bar{p}p$ elastic scattering up to LHC energy
• Limited validity of West and Yennie integral formula for elastic scattering of hadrons

Cited by in corpus (7)

• Proton periphery activated by multiparticle dynamics
• Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV
• The interplay of hadronic amplitudes and Coulomb phase in LHC measurements at 13 $\mathrm{TeV}$
• Structure of Forward pp and pp Elastic Amplitudes at Low Energies
• pp Interaction at Very High Energies in Cosmic Ray Experiments
• Exact treatment of dispersion relations in pp and pp elastic scattering
• Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV