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In the heavy-quark limit, the valence Fock-state components in the B mesonsare described by a set of two light-cone wavefunctions. We show that these twowavefunctions obey simple coupled differential equations, which are based onthe equations of motion in the Heavy Quark Effective Theory (HQET), and theanalytic solutions for them are obtained. The results generalize the recentlyobtained longitudinal-momentum distribution in the Wandzura-Wilczekapproximation by including the transverse momenta. We find that the transversemomentum distribution depends on the longitudinal momentum of the constituents,and that the wavefunctions damp very slowly for large transverse separationbetween quark and antiquark.Comment: 7 pages LaTeX. Discussion about the difference between the  Wandzura-Wilczek approximation and the full result for the first moment is  added in the final part. Minor corrections in the other part. Some footnotes  and Refs are adde

TRANSVERSE MOMENTUM DISTRIBUTION IN THE B MESONS IN THE HEAVY-QUARK LIMIT: THE WANDZURA–WILCZEK PART