Energy dependence of proton-proton elastic scattering at large momentum transfer

Abstract

The measurements of proton-proton elastic scattering for large momentum transfer at energies in the range $\approx$ 20 to 60 GeV show a simple behaviour of form $d\sigma /dt\approx \mathrm{const}|t{|}^{-8}$, apparently with no energy dependence. In the present work detailed analysis of the data shows a decrease of the magnitude of the tail with the energy, still with preservation of the power $|t{|}^{-8}$. The analysis allows the definition of a band for the energy dependence with the form of a power of the strong coupling ${\alpha }_S^{1.57}$. The rate of decrease describes very well the data at the distant energy $\sqrt{s}$ = 13 TeV, with reduction of the cross section by a factor 5.71. This result gives prediction for new experiments at high energies, and opens important question for theoretical investigation.

Comments: 6 pages, 5 figures and 1 table