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Inner-shell K$\alpha$ x-ray lasers have been created by pumping gaseous,solid, and liquid targets with the intense x-ray output of free-electron-lasers(FELs). For gaseous targets lasing relies on the creation of K-shell core-holeson a time-scale short compared with filling via Auger decay. In the case ofsolid and liquid density systems, collisional effects will also be important,affecting not only populations, but also line-widths, both of which impact thedegree of overall gain, and its duration. However, to date such collisionaleffects have not been extensively studied. We present here initial simulationsusing the CCFLY code of inner-shell lasing in solid density Mg, where weself-consistently treat the effects of the incoming FEL radiation and theatomic kinetics of the Mg system, including radiative, Auger, and collisionaleffects. We find that the combination of collisional population of the lowerstates of the lasing transitions and broadening of the lines precludes lasingon all but the K$\alpha$ of the initially cold system. Even assuminginstantaneous turning on of the FEL pump, we find the duration of the gain inthe solid system to be sub-femtosecond.

Simulations of Collisional Effects in an Inner-Shell Solid-Density Mg X-Ray Laser