A systematic large-mass expansion of the quark-antiquark effective Hamiltonian due to instantons is developed. The O(m^-2) spin-spin and spin-orbit contributions are evaluated in the dilute-gas approximation. These can be expressed in terms of differential operators acting on the spin-independent potential. The three-quark effective Hamiltonian (in a color-singlet state) is shown to be a sum of quark-antiquark Hamiltonians. The structure and numerical value of the effective Hamiltonian is discussed.
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Callan et al. (1978) studied this question.
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