Description of the Totem experimental data on elastic pp-scattering at sqrt(s)=7 TeV in the framework of unified systematic of elastic scattering data

An unified systematic of elastic (anti)proton-proton scattering data is proposed based on a simple expression for the process amplitude - f(q)=A[(\pi dq)/sh(\pi dq)][i J_1(Rq)/(Rq)+\rho J_0(Rq)]. The parameters R and d are obtained at a fitting of (anti)proton-proton experimental data on differential cross sections from Plab=1 GeV/c up to ISR energies. The fitting gives extra-ordinary good results, \chi^2/NoF ~ 1 of below at |t|< 1.75 (GeV/c)^2. An extrapolation of the parameter's energy dependencies to the LHC energies allows excellent description of the Totem data up to the second diffraction maximum. Predictions for other LHC energies are presented also. The amplitude provides one with parameterizations of total and elastic cross sections. Its impact parameter representation corresponds to the 2-dimensional Fermi-function - 1/[1+exp((b-R)/d)], which is very useful for Glauber calculations of nucleus-nucleus cross sections at super high energies. It is shown for the first time that experimental high |t| elastic scattering has a weak energy dependency. This allows to describe high |t| tail of the Totem data