  A continuum approach to the three valence-quark bound-state problem in
quantum field theory, employing parametrisations of the necessary kernel
elements, is used to compute the spectrum and Poincar\'e-covariant wave
functions for all flavour-$SU(3)$ octet and decuplet baryons and their first
positive-parity excitations. Such analyses predict the existence of
nonpointlike, dynamical quark-quark (diquark) correlations within all baryons;
and a uniformly sound description of the systems studied is obtained by
retaining flavour-antitriplet--scalar and flavour-sextet--pseudovector
diquarks. Thus constituted, the rest-frame wave function of every system
studied is primarily $S$-wave in character; and the first positive-parity
excitation of each octet or decuplet baryon exhibits the characteristics of a
radial excitation. Importantly, every ground-state octet and decuplet baryon
possesses a radial excitation. Hence, the analysis predicts the existence of
positive-parity excitations of the $\Xi$, $\Xi^\ast$, $\Omega$ baryons, with
masses, respectively (in GeV): 1.84(08), 1.89(04), 2.05(02). These states have
not yet been empirically identified. This body of analysis suggests that the
expression of emergent mass generation is the same in all $u$, $d$, $s$ baryons
and, notably, that dynamical quark-quark correlations play an essential role in
the structure of each one. It also provides the basis for developing an array
of predictions that can be tested in new generation experiments.
