Bound-free $\mathbf{e}^+ \mathbf{e}^-$ pair creation with a linearly   polarized laser field and a nuclear field
  The process of bound-free pair production of electrons and positrons in combined laser and Coulomb fields is investigated. It is assumed that an ion collides at relativistic speed with an intense x-ray laser beam of linear polarization. The process proceeds nonlinearly due to simultaneous absorption of a few laser photons. The capture of the electron into the ground state and the $L$-shell is considered. The scaling of the total rate, the angular distributions of the emitted positrons and a comparison to the competing free-free channel are surveyed. Numerical results of pair production rates for parameters for the planned x-ray free electron lasers at DESY and SLAC are presented. We find that pair production with these laser facilities can become observable in the near future. 
C. Deneke and C. M\"uller