  We systematically studied the two-body loss in a two-component Fermi gas of
$^6$Li atoms near a p-wave Feshbach resonance. The two-body loss rate constants
were measured for various temperatures and magnetic fields using atoms trapped
in three-dimensional and quasi-two-dimensional traps. Our results were nicely
reproduced by a theoretical model that incorporates the two-body loss as an
imaginary part to the inverse of the scattering volume in the scattering
amplitude expression. The observed loss suppression in quasi-two-dimensional
traps may provide a promising strategy to realize a p-wave superfluid in a
system of ultracold atoms.
