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The innershell photoionisation soft X-ray laser proposed by Duguay and Rentzepis [Appl. Phys. Lett. 10 (1967) 350] is investigated. Based on dynamic calculations, we propose a new operating regime at high atomic densities ( 10 17 cm -3 ) for this lasing system which is suitable for the recently developed short pulse (< ps) high power (> 10 12 W) laser...