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.

Comments: 22 pages, 12 figures, 2 tables