  The data on p$\mathrm{\bar p}$ 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.
