Radiated X-ray Power and Energy current scaling at 80ns implosion times*

The results of our current scaling experiments with the Z accelerator for the compact, single, 20-mm diameter, 10-cm long wire arrays, are compared with the predictions of the W.A. Stygar \textit{et al.} [Phys. Rev. E \textbf{69}, 046403 (2004)] and [Phys. Rev. E \textbf{72}, 026404 (2005)] heuristic model for ablation dominated pinches. We also derive an empirical predictive relation that connects the power-scaling exponent with the array parameters. Utilizing the results of the present work with those of W.A. Stygar \textit{et al.} and T. Nash \textit{et al.} [Phys. Plasmas \textbf{11}, 5156 (2004)] we evaluate the proportionality constant of the heuristic model.