We present a classification of the three-quark light-cone distribution amplitudes (LCDAs) for ground-state heavy baryons with the spin parities J ~P = 1/2 ~+ and J ~P = 3/2 ~+ in QCD in the heavy-quark symmetry limit and calculate several lowest moments of LCDAs based on QCD sum rules. We propose simple model functions for the heavy-baryon distribution amplitudes and analyze their dependence on the energy scale.
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