Abstract

The rapidity dependent transverse momentum spectra of heavy quarkonia (J/ψ and Υ mesons) produced in small collision systems such as proton-proton (pp) and proton-lead (p-Pb) collisions at center-of-mass energy (per nucleon pair) s (sNN) = 5-13 TeV are described by a two-component statistical model which is based on the Tsallis statistics and inverse power-law. The experimental data measured by the LHCb Collaboration at the Large Hadron Collider (LHC) are well fitted by the model results. The related parameters are obtained and the dependence of parameters on rapidity is analyzed.

Highlights

  • The study of high energy proton-proton, proton-nucleus, and nucleus-nucleus collisions [1,2,3,4,5] can provide a unique opportunity for ones to understand the strong interaction theory and nuclear reaction mechanism [6,7,8,9,10] and analyze the evolution processes of interacting system and quarkgluon plasma (QGP)

  • According to (3) and (4), we can structure a superposition of the Tsallis statistics and the inverse power-law, which results in a two-component statistical model as f = kf1 + (1 − k) f2, (5)

  • One can see that the experimental data measured by the LHCb Collaboration are well fitted by the two-component statistical model

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Summary

Introduction

The study of high energy proton-proton, proton-nucleus, and nucleus-nucleus collisions [1,2,3,4,5] can provide a unique opportunity for ones to understand the strong interaction theory and nuclear reaction mechanism [6,7,8,9,10] and analyze the evolution processes of interacting system and quarkgluon plasma (QGP). Because the collision time of interacting system is very short, one can only analyze the characteristics of final particles produced in the collisions to obtain the mechanisms of nuclear reactions and the properties of formed matter such as QGP. The transverse momentum spectrum is one of the most general objects in the study It is measured by experiments and provides information about temperature and excitation degree of interacting system at the stage of kinetic freeze-out. The study of transverse momentum spectrum of final particles is greatly significative in analyzing the mechanisms of nuclear reactions and the properties of QGP.

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