  We develop a hybrid scheme to renormalize quasi distribution amplitudes of a
light baryon on the lattice, which combines the self-renormalization and ratio
scheme. By employing self-renormalization, the UV divergences and linear
divergence at large spatial separations in quasi distribution amplitudes are
removed without introducing extra nonperturbative effects, while making a ratio
with respect to the zero-momentum matrix element can properly remove the UV
divergences in small spatial separations. As a specific application,
distribution amplitudes of the $\Lambda$ baryon made of $uds$ are investigated,
and the requisite equal-time correlators, which define quasi distribution
amplitudes in coordinate space, are perturbatively calculated up to the
next-to-leading order in strong coupling constant $\alpha_s$. These
perturbative equal-time correlators are used to convert lattice QCD matrix
elements to the continuum space during the renormalization process.
Subsequently, quasi distribution amplitudes are matched onto lightcone
distribution amplitudes by integrating out hard modes and the corresponding
hard kernels are derived up to next-to-leading order in $\alpha_s$ including
the hybrid counterterms. These results are valuable in the lattice-based
investigation of the lightcone distribution amplitudes of a light baryon from
the first principles of QCD.
