  The universal three-body dynamics in ultra-cold binary Fermi and Fermi-Bose
mixtures is studied. Two identical fermions of the mass $m$ and a particle of
the mass $m_1$ with the zero-range two-body interaction in the states of the
total angular momentum L=1 are considered. Using the boundary condition model
for the s-wave interaction of different particles, both eigenvalue and
scattering problems are treated by solving hyper-radial equations, whose terms
are derived analytically. The dependencies of the three-body binding energies
on the mass ratio $m/m_1$ for the positive two-body scattering length are
calculated; it is shown that the ground and excited states arise at $m/m_1 \ge
\lambda_1 \approx 8.17260$ and $m/m_1 \ge \lambda_2 \approx 12.91743$,
respectively. For $m/m_1 \alt \lambda_1$ and $m/m_1 \alt \lambda_2$, the
relevant bound states turn to narrow resonances, whose positions and widths are
calculated. The 2 + 1 elastic scattering and the three-body recombination near
the three-body threshold are studied and it is shown that a two-hump structure
in the mass-ratio dependencies of the cross sections is connected with arising
of the bound states.
