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We present results from an ongoing lattice study of the lowest lyingcharmonium and bottomonium level splittings using the Fermilab heavy quarkformalism. Our objective is to test the performance of this action onMILC-collaboration ensembles of (2+1) flavors of light improved staggered(asqtad) quarks. Measurements are done on 16 ensembles with degenerate up anddown quarks of various masses, thus permitting a chiral extrapolation, and overlattice spacings ranging from 0.09 fm to 0.18 fm, thus permitting study oflattice-spacing dependence. We examine combinations of the mass splittings thatare sensitive to components of the effective quarkonium potential.

Quarkonium mass splittings with Fermilab heavy quarks and 2+1 flavors of improved staggered sea quarks