  We briefly review our works on ultraperipheral heavy ion collisions. We
discuss both $\gamma \gamma$ and rescattering of hadronic photon fluctuation
induced by one nucleus in the collision partner. Production of one and two
leptonic and pionic and $p \bar p$ pairs is discussed as an example of
photon-photon processes. The production of single vector mesons ($\rho^0$ or
$J/\psi$) is an example of the second category. The double-scattering
mechanisms of two $\rho^0$ meson production is discussed in addition.

Nuclear Theory;High Energy Physics - Phenomenology