Effect of instantons on the heavy-quark potential
Curtis G. CallanJoseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540Roger DashenJoseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540David J. GrossJoseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540Frank WilczekJoseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540A. ZeeJoseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540
1978en
ABI
Abstract
A systematic large-mass expansion of the quark-antiquark effective Hamiltonian due to instantons is developed. The $O({m}^{\ensuremath{-}2})$ 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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