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

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.