Effect of instantons on the heavy-quark potential

Curtis Gove Callan, Roger Dashen, David J. Gross, Frank Wilczek, A. Zee

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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.

Original languageEnglish (US)
Pages (from-to)4684-4692
Number of pages9
JournalPhysical Review D
Issue number12
StatePublished - Jan 1 1978

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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    Callan, C. G., Dashen, R., Gross, D. J., Wilczek, F., & Zee, A. (1978). Effect of instantons on the heavy-quark potential. Physical Review D, 18(12), 4684-4692. https://doi.org/10.1103/PhysRevD.18.4684