  Using a hadronic model with empirical coupling constants and form factors, we
have evaluated the cross sections for the production of exotic pentaquark
$\Theta^+$ and/or $\Xi_5^+$ and $\Xi_5^{--}$ in reactions induced by photons,
nucleons, pions, and kaons on nucleon targets. We have also predicted the
$\Theta^+$ yield in relativistic heavy ion collisions using a kinetic model
that takes into account both $\Theta^+$ production from the coalescence of
quarks and antiquarks in the quark-gluon plasma and the effects due to
subsequent hadronic absorption and regeneration.
