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 x1 of the incoming (anti)protons as a function of the scaled transverse momentum pT/m and masses of heavy mesons is studied. We anticipate that the data on low- and high-pT 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.

Highlights

  • IntroductionA microscopic scenario of hadron production in the z-scaling approach is used to estimate the energy loss and recoil mass at a constituent level in the dependence on transverse momentum of an inclusive particle

  • The measurements of the top-quark transverse momentum distribution have been performed at the FermilabTevatron collider at s = 1800 and 1960 GeV by the CDF [1] and DØ [2] Collaborations, respectively

  • We have presented the results of analysis of the data on inclusive spectra of the top-quark production in pp collisions at the energy s = 1960 GeV measured by the DØ Collaboration at the Tevatron

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Summary

Introduction

A microscopic scenario of hadron production in the z-scaling approach is used to estimate the energy loss and recoil mass at a constituent level in the dependence on transverse momentum of an inclusive particle. This gives the specific dependence of the momentum fraction x1 characteristic for different types of produced hadrons. Equation (1) is an expression of the locality of the hadron interaction at a constituent level It represents a kinematic constraint on momentum fractions x1, x2 , ya , and yb which determine the underlying elementary sub-process. Scaling function z is expressed in terms of the experimentally measured inclusive cross section Ed3 dp , the multiplicity density dN d , and the total inelastic cross section inel as follows [15]:

E d3 dp3
Conclusions
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