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Lattice measurements of spatial distributions of the light quark bilineardensities in static mesons allow to test directly and in detail the wavefunctions of quark models. These distributions are gauge invariant quantitiesdirectly related to the spatial distribution of wave functions. We make adetailed comparison of the recent lattice QCD results with our own quarkmodels, formulated previously for quite different purposes. We find a strikingagreement not only between our two quark models, but also with the lattice QCDdata for the ground state in an important range of distances up to about 4/GeV.Moreover the agreement extends to the L=1 states [j^P=(1/2)^+]. An explanationof several particular features completely at odds with the non-relativisticapproximation is provided. A rather direct, somewhat unexpected and of courseapproximate relation between wave functions of certain quark models and QCD hasbeen established.

Spatial distributions in static heavy-light mesons: a comparison of quark models with lattice QCD