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Optimization of nitrogen filled capillary pinch for soft x-ray laser recombination pumping

We report new results of evaluated gain for 13.38 nm radiation created due to the inversion population on the Balmer alpha transition of hydrogen-like nitrogen. Recombination pumping in non-equilibrium plasma during the capillary pinch decay is judged. Quantitative analysis is performed in four-dimensional region of optional parameters chosen in accordance with available experimental devices: current slope dI/dt|t=0 (0.9-3.0 1012 A/s), current peak value Imax (50-100 kA), capillary radius R0 (0.16-0.25 cm) and filling atom density N0 (1.0-6.0 1017 cm-3). Requirements on the current pulse shape are stated. Diameter of the created active medium is estimated.