  We study a Lorentz invariant pairing mechanism that arises when two
relativistic spin-1/2 fermions are subjected to a Dirac string coupling. In the
weak coupling regime, we find remarkable analogies between this relativistic
bound system and the well known superconducting Cooper pair. As the coupling
strength is raised, quenched phonons become unfrozen and dynamically contribute
to the gluing mechanism, which translates into novel features of this
relativistic superconducting pair.
