We report soft X-ray spectra (4–18 nm) produced by the
interaction of 25–100-fs laser pulses at an intensity of up
to 7 × 1016 W/cm2 with a cryogenically
cooled Ar gas jet. New spectral lines from Ar8+,
Ar9+, and Ar10+ charge states appeared
with decreasing preexpansion gas temperature. A nonlinear increase
of X-ray line emission from Ar7+, Ar8+, and
Ar9+ was observed with cooling, which saturated below a
certain temperature. The drastic change in the spectrum is attributed
to efficient collisional heating and collisional ionization of growing,
small- to medium-sized (102–103 atoms) Ar
clusters from the cooled jet. When the laser pulse was extended from 25
to 100 fs we observed considerably stronger emission on lines from high
charge states, such as Ar8+, Ar9+, and
Ar10+, which suggests that the resonance absorption condition
could be reached for the 100-fs pulse.