  We apply the renormalization group procedure for effective particles (RGPEP)
to the QCD eigenvalue problem for only heavy quarks. We derive the effective
Hamiltonian that acts on the Fock space by solving the RGPEP equation up to
second order in powers of the coupling constant. The eigenstates that contain
three quarks and two or more gluons are eliminated by inserting a gluon-mass
term in the component with one gluon and formulate the eigenvalue problem for
baryons. We estimate masses for $bbb$ and $ccc$ states and find that the
results match the estimates obtained in lattice QCD and in quark models.
