Systematic study of the experimental measurements on $J/\psi$ cross section and kinematic distribution in $p+p$ collisions at different energies

TL;DR

This paper systematically reviews experimental measurements of $J/$ production cross sections and kinematic distributions in $p+p$ collisions across a wide energy range, providing empirical formulas and reference data crucial for heavy-ion collision studies.

Contribution

It offers a comprehensive analysis of $J/$ cross sections and distributions, developing empirical formulas and evaluating data at specific energies, aiding interpretation of heavy-ion collision results.

Findings

Empirical formulas for total cross section, rapidity, and $p_T$ distributions.

Evaluation of $J/$ cross sections at 39 and 62.4 GeV.

Systematic dependence of $J/$ production on collision energy.

Abstract

The world experimental data on cross section and kinematic distribution in $p+p$ and $p+A$ collisions at $\sqrt{s}$ = 6.8 - 7000 GeV are examined in systematic way. The $\sqrt{s}$ dependence of the inclusive cross section, rapidity and transverse momentum distributions are studied phenomenologically. We explore empirical formulas to obtain the total cross section, rapidity and transverse momentum ($p_{T}$) distribution. This is crucial for the interpretation of A$+$A $J/\psi$ results at RHIC when the $p+p$ reference data are not available. In addition, the cross section at mid-rapidity and transverse momentum distributions in $p+p$ collisions at $\sqrt{s}$ = 39 and 62.4 GeV are evaluated.