  Particle formation represents a central theme in various branches of physics,
often associated to confinement. Here we show that dynamical hadron formation
can be spectroscopically detected in an ultracold atomic setting within the
most paradigmatic and simplest model of condensed matter physics, the repulsive
$\textrm{SU}(N)$ Hubbard model. By starting from an appropriately engineered
initial state of the ${{\textrm{SU}(3)}}$ Hubbard model, not only mesons
(doublons) but also baryons (trions) are naturally generated during the time
evolution. In the strongly interacting limit, baryons become heavy and attract
each other strongly, and their residual interaction with mesons generates meson
diffusion, as captured by the evolution of the equal time density correlation
function. Hadrons remain present in the long time limit, while the system
thermalizes to a negative temperature state. Our conclusions extend to a large
variety of initial conditions, all spatial dimensions, and for SU($N>2$)
Hubbard models.
