Zero dimensional scaling of Ar K-shell radiation in long implosion Z-pinch experiments

Summary form only given. Zero dimensional models are useful in predicting trends and optimal experimental parameters to maximize K-shell radiation in Z-pinch experiments. We apply the model of Mosher, Qi and Krishnan (MQK) to Ar K-shell radiation in the range of 2 to 10 MA and implosion times from 100 to 300 ns. In particular we analyze recent experiments on the Double Eagle machine at Maxwell Physics International going to up to 4 MA and implosion times from 100 to 200 ns. The critical step in applying the MQK model is assuming either a final radius for the implosion, or a given effective compression ratio (ratio between the initial and final radii). We derive the optimal solution for the MQK model in both cases, keeping the effective compression ratio or the final radius fixed, as the current and implosion time are varied, for the particular case of a constant I-dot "ideal machine".