Fragmentation of high line-mass filaments as revealed by ALMA: the integral shaped filament in Orion A

We study the fragmentation of the most nearby high line-mass filament, the integral shaped filament (ISF) in the Orion A molecular cloud. We have observed a 1.6 pc long section of the ISF with the Atacama Large Millimetre/submillimeter Array (ALMA) at 3 mm continuum emission, at a resolution of $\sim$3" (1$\,$200 AU). We identify from the region 40 dense cores with masses on the order of a solar mass. The nearest neighbour separation distribution of the cores does not show a preferred fragmentation scale; the frequency of short separations increases down to our resolution limit. We apply a two-point correlation analysis on the dense core separations and show that the cores are significantly grouped at separations below $\sim$17$\,$000 AU and strongly grouped below $\sim$6$\,$000 AU. In addition, the two-point correlation function indicates periodic grouping of the cores into groups of $\sim$30$\,$000 AU in size, separated by $\sim$55$\,$000 AU. The groups coincide with dust column density peaks detected by Herschel. These results suggest a two-mode fragmentation in which the maternal filament periodically fragments into groups of dense cores. The strong increase of separations below 6$\,$000 AU may be related to the regime of significant core-to-core interactions. We also find that the protostars in the northern ISF are grouped at separations below $\sim$17$\,$000 AU. The stars with disks do not show significant grouping in the ALMA-covered region. This suggests that the grouping of dense cores is partially retained over the protostar lifetime, but not over the lifetime of stars with disks. This is in agreement with protostars being ejected from the maternal filament by the slingshot mechanism, a model recently proposed for the ISF by Stutz & Gould. The separation distributions of the dense cores and protostars may also provide an evolutionary tracer of filament fragmentation.