  A hypothesis is proposed herein, suggesting that a pion-nuclear resonance may
be observed in the $\alpha+d\to{}^6\mathrm{Li}(3.563)+\pi^0$ reaction. The
resonance has a $\pi NN\alpha$ structure, containing $\alpha NN$ and $\pi NN$
subsystems. The former corresponds to the $A=6$ isotriplet
($^6\mathrm{He}_\text{g.s.}$, $^6\mathrm{Li}(3.563)$,
$^6\mathrm{Be}_\text{g.s.}$), whereas the latter is a hypothetical
$NN$-decoupled dibaryon. We propose an experiment to search for this resonance
using the $^7\mathrm{Li}(p,d)$ reaction.
