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Effect of instantons on the heavy-quark potential

Curtis G. CallanJoseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540Roger DashenInstitute for Advanced Study, Princeton, New Jersey, 08540David J. GrossInstitute for Advanced Study, Princeton, New Jersey, 08540Frank WilczekInstitute for Advanced Study, Princeton, New Jersey, 08540A. ZeeJoseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540
1978en
ABI

Annotatsiya

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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