Quantum-chromodynamic potential model for light and heavy quarkonia

Abstract

Our earlier treatment for the investigation of the $c\overline{c}$, $b\overline{b}$, and $t\overline{t}$ spectra is extended to other quarkonia with $u$, $d$, $s$, $c$, and $b$ quarks. We find that it is possible to account fully for the observed ground-state hyperfine splittings of light as well as heavy quarkonia provided that the perturbative quantum-chromodynamic potential is supplemented not only by the nonperturbative confining potential but also by a nonperturbative annihilation potential which rapidly decreases with increase in the quark mass. We also give our predictions for the experimentally interesting $b\overline{u}$, $b\overline{s}$, and $b\overline{c}$ systems with unknown mass splittings.