Regge Slope and theΛParameter in Quantum Chromodynamics: An Empirical Approach via Quarkonia

The string constant (or, equivalently, the asymptotic Regge slope ${\alpha }^{\prime }$) is related to the $\Lambda$ parameter in quantum chromodynamics (QCD). The empirical information from the $\Psi$, $\Upsilon$ spectroscopies is used to determine this relation. In so doing a quarkonium potential in excellent agreement with experimental data is also obtained. It is found that ${\Lambda }_{\overline{\mathrm{ms}}}=0.5\mathrm{}$ GeV and ${\alpha }^{\prime }=1\mathrm{}$ ${\mathrm{GeV}}^{-2\mathrm{}}$.