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Published December 15, 1991 | Published
Journal Article Open

Static spin-dependent forces between heavy quarks in the classical approximation to dual QCD

Abstract

We compute the static spin-dependent forces VS(R) (proportional to σ_1•σ_2) and V_T(R) (proportional to 3σ_1•Ȓσ_2•Ȓ-σ_1•σ_2) between two quarks separated by R. This is done by treating the (weak) spin-dependent effects as a perturbation on the spin-independent potentials and fields computed earlier for dual QCD. What results is a definite prediction for the heavy-quark potentials which are similar to, but different in form from, those used in phenomenological treatments. Calculations of the masses and splittings of heavy-quark states using our potentials will provide a further test of the dual superconductor picture of QCD.

Additional Information

© 1991 The American Physical Society. Received 15 August 1991; published in the issue dated 15 December 1991. The work of M.B. was supported in part by the U.S. Dept. of Energy under Contract No. DOE/ER/40614. The work of J .S.B. was supported in part by the U.S. National Science Foundation Grant No. PHY 9008482. The work of F.Z. was supported in part by the U.S. Dept. of Energy under Contract No. DEAC-03-81ER40050.

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