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Light-Cone Wavefunction Representations of Sivers and Boer-Mulders Distribution Functions

We find the light-cone wavefunction representations of the Sivers and Boer-Mulders distribution functions. A necessary condition for the existence of these representations is that the light-cone wavefunctions have complex phases. We induce the complex phases by incorporating the final-state interactions into the light-cone wavefunctions. For the scalar and axial-vector diquark models for nucleon, we calculate explicitly the Sivers and Boer-Mulders distribution functions from the light-cone wavefunction representations. We obtain the results that the Sivers distribution function has the opposite signs with the factor 3 difference in magnitude for the two models, whereas the Boer-Mulders distribution function has the same sign and magnitude. We can understand these results from the properties of the light-cone wavefunction representations of the Sivers and Boer-Mulders distribution functions.