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Using a Foldy-Wouthuysen transformation, the spin-orbit interaction is derived for a three-quark system confined by a realistic three-body flux-tube potential. The result is used together with harmonic oscillator wavefunctions to examine spin-orbit splittings in P-wave baryons. It is shown that the splittings are similar to those which arise from an approximate confining potential involving two-body potentials.
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Ian J. Ford (1989) studied this question.
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