THE IRAM KEY PROJECT - SMALL-SCALE STRUCTURE OF PRE-STAR FORMING REGIONS - COMBINED MASS-SPECTRA AND SCALING LAWS

One objective of the IRAM key project small-scale structure of pre-sta r forming regions is to determine the continuation of the mass spectra for molecular cloud fragments and other scaling laws from large scale s down to smallest scales accessible with single-dish telescopes. In t his Letter we present first results of the combination of the small sc ale data from this project and large scale data obtained with the CfA 1.2 m and the KOSMA 3 m telescopes for the Polaris Flare analyzed usin g a Gaussian clump decomposition. For data in the (CO)-C-12 J=1-->0 an d 2-->1 lines we find no deviation from the power law slope of the mas s spectra (dN/dM proportional to M-1.84), over a range in masses of mo re than at least 5 orders of magnitudes, from masses of several 10M(.) down to Jupiter masses. The size spectrum is in agreement with a powe r law of the form dN/dr proportional to r(-3.0). The mass-size relatio n is a power law of the form M proportional to r(2.31) over a range of more than 2 orders of magnitudes in size.