Systematic examination of spin-independent and spin-dependent interactions of heavy quarks

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Abstract
There is now convincing evidence that the spin dependence of quarkonia systems requires an effective scalar confining potential. We show that all known cc¯ and bb¯ spin dependences are consistent with a vector-scalar model. We find, however, that the spin-averaged states are inconsistent with spin-independent corrections arising from a scalar potential. A more successful confining interaction is obtained by using a phenomenological spin-independent term introducing flavor dependence into the potential by means of inverse powers of the quark masses.