A neonlike x-ray laser photoresonant pumping scheme is explored. The design is configured as a coaxial z-pinch consisting of an inner krypton lasant plasma surrounded by a carbon shell that itself is surrounded by a stagnated krypton plasma. The photoresonant radiation emitted from the outer plasma passes inwardly through the carbon shell and photoexcites lasant electrons to the 3s and 3d levels. It is calculated that monochromatic pump powers of 100 - 200 GW/eV can be achieved for the 3s and 3d neonlike resonance lines. The gain in several neonlike 3s - 3p transitions is calculated as a function of temperature and density of the lasant plasma. Reasonable gain in the 3p - 3s (J $EQ 0 - 1) transition is obtained for high density, high temperature lasant conditions. This gain is nearly independent of the pump. For low density, low temperature lasants, optimal gain is obtained in the 3p - 3s (J $EQ 2 - 1) transitions. Photoionization and photoexcitation by the pump are necessary to produce gain under these conditions. The attenuation of the resonance line pumps limits gain to the outer edge of modest density lasants.
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