Systematic study of the experimental measurements on ratios of different $\Upsilon$ states

TL;DR

This paper systematically analyzes experimental data on the ratios of different $55$ states produced in hadron collisions across a wide energy range, revealing consistent ratios with no significant energy dependence.

Contribution

It provides a comprehensive review of $55$ state ratios across various energies and kinematic variables, highlighting their stability and detailed dependencies.

Findings

$55$(2S)/$55$(1S) = 0.275 ± 0.005

$55$(3S)/$55$(1S) = 0.128 ± 0.004

No significant energy dependence observed in the ratios

Abstract

The world data on yields and ratios of different $\Upsilon$ states created in hadron collisions at $\sqrt{s} = 19-8000$ GeV are examined in systematic way. We find that $\Upsilon(2S)/\Upsilon(1S)=0.275\pm0.005$ and $\Upsilon(3S)/\Upsilon(1S)=0.128\pm0.004$. No signficant energy dependence of these ratios are observed within the broad collision energies. In addition, the rapidity, transverse momentum, and transverse mass dependence of these ratios are also reported.