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We present the Herschel Gould Belt survey maps of the L1641 molecular cloudsin Orion A. We extracted both the filaments and dense cores in the region. Weidentified which of dense sources are proto- or pre-stellar, and studied theirassociation with the identified filaments. We find that although most (71%) ofthe pre-stellar sources are located on filaments there is still a significantfraction of sources not associated with such structures. We find that these twopopulations (on and off the identified filaments) have distinctly differentmass distributions. The mass distribution of the sources on the filaments isfound to peak at 4 Solar masses and drives the shape of the CMF at highermasses, which we fit with a power law of the form dN/dlogM \proptoM^{-1.4+/-0.4}. The mass distribution of the sources off the filaments, on theother hand, peaks at 0.8 Solar masses and leads to a flattening of the CMF atmasses lower than ~4 Solar masses. We postulate that this difference betweenthe mass distributions is due to the higher proportion of gas that is availablein the filaments, rather than in the diffuse cloud.

Two Mass Distributions in the L 1641 Molecular Clouds: The Herschel connection of Dense Cores and Filaments in Orion A