  We compute masses of positive parity spin-$1/2$ and $3/2$ baryons composed of
$u$, $d$, $s$, $c$ and $b$ quarks in a quark-diaquark picture. The mathematical
foundation for this analysis is implemented through a symmetry-preserving
Schwinger-Dyson equations treatment of a vector-vector contact interaction,
which preserves key features of quantum chromodynamics, such as confinement,
chiral symmetry breaking and low energy Goldberger-Treiman relations. This
study requires a computation of diquark correlations containing these quarks
which in turn are readily inferred from solving the Bethe-Salpeter equations of
the corresponding mesons. Therefore, it serves as a unified formalism for a
multitude of mesons and baryons. It builds on our previous works on the study
of masses, decay constants and form factors of quarkonia and light mesons,
employing the same model. We use two sets of parameters, one which remains
exactly the same for both the light and heavy sector hadrons, and another where
the coupling strength is allowed to evolve according to the available mass
scales of quarks. Our results are in very good agreement with the existing
experimental data as well as predictions of other theoretical approaches
whenever comparison is possible.
