  We obtain from the quark-gluon dynamics, the Gell'Mann-Ne'eman eightfold way
baryons in an imaginary-time functional integral formulation of 3+1 lattice QCD
in the strong coupling regime (small hopping parameter $\kappa>0$). The model
has ${\rm SU}(3)_c$ gauge and global ${\rm SU}(3)_f$ flavor symmetries. In the
subspace of the physical Hilbert space of vectors with an odd number of quarks,
the baryons are associated with isolated dispersion curves in the
energy-momentum spectrum. The spin 1/2 octet and spin 3/2 decuplet baryons have
asymptotic mass $-3\ln\kappa$ and for each baryon there is an antibaryon with
identical spectral properties. All the masses have the form
$M=-3\ln\kappa-3\kappa^3/4+\kappa^6 r(\kappa)$, with $r(\kappa)$ real analytic.
For each member of the octet $r(\kappa)$ is the same; for each member of the
decuplet, $r(0)$ is the same. So, there is no mass splitting within the octet,
and within the decuplet up to and including ${\cal O}(\kappa^6)$. However,
there is an octet-decuplet mass difference of $3\kappa^6/4+{\cal O}(\kappa^7)$.
The baryon and antibaryon spectrum is the only one up to near the meson-baryon
threshold of nearly $-5\ln\kappa$. A decoupling of hyperplane method is used to
naturally unveil the form of the baryon composite fields (no a priori
guesswork), to show the existence of particles and their multiplicities using a
spectral representation for the two-baryon correlation. We also obtain the
(anti-)baryon dispersion curves which admit the representation $w(\kappa,\vec
p)= -3\ln\kappa -3\kappa^3/4+\kappa^3\sum_{j=1,2,3} (1-\cos ^j)/4+r(\kappa,\vec
p)$, where $r(\kappa,\vec p)$ is of ${\cal O}(\kappa^6)$.
