The fidelity of the core mass functions derived from dust column density data

Author(s)
J. Kainulainen, C. J. Lada, J. M. Rathborne, J. F. Alves
Abstract

Aims: We examine the recoverability and completeness limits of the dense core mass functions (CMFs) derived for a molecular cloud using extinction data and a core identification scheme based on two-dimensional thresholding. We study how the selection of core extraction parameters affects the accuracy and completeness limit of the derived CMF and the core masses, and also how accurately the CMF can be derived in varying core crowding conditions. Methods: We performed simulations where a population of artificial cores was embedded in the variable background extinction field of the Pipe nebula.We extracted the cores from the simulated extinction maps, constructed the CMFs, and compared them to the input CMFs. The simulations were repeated using a variety of extraction parameters and several core populations with differing input mass functions and differing degrees of crowding. Results: The fidelity of the observed CMF depends on the parameters selected for the core extraction algorithm for our background. More importantly, it depends on how crowded the core population is. We find that the observed CMF recovers the true CMFreliably when the mean separation of cores is larger than the mean diameter of the cores (f>1). If this condition holds, the derived CM Ffor the Pipe nebula background is accurate and complete above M ⪆0.8dots 1.5 M_⊙, depending on the parameters used for the core extraction. In the simulations, the best fidelity was achieved with the detection threshold of 1 or 2 times the rms-noise of the extinction data, and with the contour level spacings of 3 times the rms-noise.Choosing a higher threshold and wider level spacings increases the limiting mass. The simulations also show that, when f ⪆ 1.5, themasses of individual cores are recovered with a typical uncertainty of25dots 30%. When f≈ 1, the uncertainty is 60%. In very crowded cases where f<1 the core identification algorithm is unable to recover the masses of the cores adequately, and the derived CMF is unlikely to represent the underlying CMF. For the cores of the Pipe nebula f ≈2.0 thereby justifying the use of the method in that region.

Organisation(s)
Department of Astrophysics
External organisation(s)
Harvard-Smithsonian Center for Astrophysics, University of Helsinki, Aalto University
Journal
Astronomy & Astrophysics
Volume
497
Pages
399-407
ISSN
0004-6361
DOI
https://doi.org/10.1051/0004-6361/200810987
Publication date
04-2009
Peer reviewed
Yes
Austrian Fields of Science 2012
103004 Astrophysics
Keywords
Portal url
https://ucrisportal.univie.ac.at/en/publications/d76bd675-8492-4060-ac42-50a34440d42f