The problem of laser assisted radiation recombination, taking into account the influence of the plasma in which the elementary process takes place, is investigated theoretically. Among the reported results, remarkable broadening and enhancement of the X-ray photon emission spectrum is found, provided some conditions are met. First, a sufficiently intense laser field must assist the process. For enhancement, the intensity must be such that the amplitude of the quiver electron velocity be comparable or slightly larger than the electron thermal velocity. For broadening it is important that at the level of the elementary act of recombination several multiphoton channels be open. A judicious compromise between the plasma temperature and the field intensity is necessary to have many effective slow electrons able to absorb large numbers of photons from the assisting laser field to be converted into X-ray photons.
Emitted power spectra per steradian and frequency unit of the emitted photon J(Ο x ) in a.u. as a function Ο x for a Maxwellian EDF, ion charge Z=3, Ο L =0.057 a.u., laser intensity I L = 6Γ10 15 W/cm 2 , different values of plasma temperature: dotted line T =1a.u. and R=7.3; thick line T=1,5 a.u. and R=5.9; thin line T= 2 a.u. and R=5.1