On Self-Similarity of Top Production at Tevatron

Abstract

This paper presents the results of analysis of the D? 1.0 fb -1 data on top-quark differential cross section measurements at the Fermilab Tevatron collider at √s= 1960 GeV in the framework of z -scaling approach. The flavor independence of scaling function Ψ(z)observed in pp and pp interactions over a wide collision energy range √s= 19-1960 GeV has been verified. This property of Ψ(z) was found for different hadrons – from π -mesons up to Υ particles. The flavor independence of Ψ(z) is used as indication on self-similarity of the top -quark production. A tendency to saturation of Ψ(z) at low z for top -quark production has been confirmed. Momentum fraction x 1 of the incoming (anti)protons as a function of the scaled transverse momentum p T /m and masses of heavy mesons is studied. We anticipate that the data on low- and high- p T inclusive spectra of the top -quark production at the Tevatron and LHC energies could be of interest to verify self-similarity over a wide range of masses and different flavor content of produced particles.