Effect of instantons on the heavy-quark potential

Curtis G. Callan; Roger Dashen; David J. Gross; Frank Wilczek; A. Zee

doi:10.1103/PhysRevD.18.4684

Effect of instantons on the heavy-quark potential

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

Research output: Contribution to journal › Article › peer-review

70 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	4684-4692
Number of pages	9
Journal	Physical Review D
Volume	18
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.18.4684
State	Published - 1978
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.18.4684

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year = "1978",

doi = "10.1103/PhysRevD.18.4684",

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AU - Callan, Curtis G.

AU - Dashen, Roger

AU - Gross, David J.

AU - Wilczek, Frank

AU - Zee, A.

PY - 1978

Y1 - 1978

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AB - 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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Effect of instantons on the heavy-quark potential

Abstract

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