  We show that Brodsky-Lepage evolution equation for the leading twist spin 3/2
baryon distribution amplitude is completely integrable and reduces to the
three-particle XXX_{s=-1} Heisenberg spin chain. Trajectories of the anomalous
dimensions are identified and calculated using the 1/N expansion. Extending
this result, we prove integrability of the evolution equations for twist 3
quark-gluon operators in the large N_c limit and derive explicit expressions
for the corresponding integrals of motion.
