Buchmueller-Grunberg-Tye-type potential consistent with smaller values of #betta#subMS

The Buchmueller-Grunberg-Tye potential for heavy quarkonia is modified so that it is consistent with the smaller values of the scale parameter #betta#subMS, 50--100 MeV, as suggested recently. (MS denotes the modified minimal-subtraction scheme.) The potential has a practically asymptotic region above 2--3 GeV in momentum space, or at distances shorter than 0.05--0.1 fm. It is consistent with the experimentally measured spectra of psi and UPSILON families and their leptonic decay widths. It is shown that the spectra of tt-bar states would provide a nice way to determine #betta#subMS in the range quoted above