The spacings between bound-state levels of the Schr\"odinger equation with
the same principal quantum number N but orbital angular momenta ℓ
differing by unity are found to be nearly equal for a wide range of power
potentials V=λrν, with ENℓ≈F(ν,N)−G(ν,N)ℓ. Semiclassical approximations are in accord with this behavior. The
result is applied to estimates of masses for quarkonium levels which have not
yet been observed, including the 2P ccˉ states and the 1D bbˉ
states.Comment: 20 pages, latex, 3 uuencoded figures submitted separately (process
using psfig.sty