  We experimentally investigate the unitarity-limited behavior of the
three-body loss near a p-wave Feshbach resonance in a single-component Fermi
gas of $^6$Li atoms. At the unitarity limit, the three-body loss coefficient
$L_{3}$ exhibits universality in the sense that it is independent of the
interaction strength and follows the predicted temperature scaling law of $L_3
\propto T^{-2}$. When decreasing the interaction strength from the unitarity
regime, the three-body loss coefficient as a function of the interaction
strength and temperature can be described by the theory based on the
association of an excited resonant quasibound state and its relaxation into a
deep stable dimer by collision with a third atom in the framework of the
standard Breit-Wigner theoretical approach. The results reported here are
important to understand the properties of a resonant p-wave Fermi gas in the
prospect of quantum few- and many-body physics.
