Testing the star formation scaling relations in the clumps of the North American and Pelican cloud complexes

TL;DR

This study tests various star formation scaling relations in molecular cloud clumps within the North American and Pelican nebulae, finding some correlations but no definitive model discrimination due to observational uncertainties.

Contribution

It provides observational constraints on star formation models in specific Galactic cloud complexes, comparing multiple theoretical relations with new measurements.

Findings

Observed star formation rates are consistent with some scaling relations.

No clear discrimination between models due to uncertainties.

Weak correlation with dense gas surface density.

Abstract

The processes which regulate the star-formation within molecular clouds are still not well understood. Various star-formation scaling relations have been proposed to explain this issue by formulating a relation between star-formation rate surface density ($\rm \Sigma_{SFR}$) and the underlying gas surface density ($\rm \Sigma_{gas}$). In this work, we test various star formation scaling relations, such as Kennicutt-Schmidt relation, volumetric star-formation relation, orbital time model, crossing time model, and multi free-fall time scale model towards the North American and Pelican Nebulae complexes and in cold clumps associated with them. Measuring stellar-mass from young stellar objects and gaseous mass from CO measurements, we estimated mean $\rm \Sigma_{SFR}$, star formation rate per free-fall time, and star formation efficiency (SFE) for clumps to be 1.5 $\rm M{_\odot}~yr^{-1}~kpc^{-2}$, 0.009, 2.0$\%$, respectively, while for the entire NAN complex the values are 0.6 $\rm M{_\odot}~yr^{-1}~kpc^{-2}$, 0.0003, and 1.6$\%$, respectively. For clumps, we notice that the observed properties are in line with the correlation obtained between $\rm \Sigma_{SFR}$ and $\rm \Sigma_{gas}$, and between $\rm \Sigma_{SFR}$ and $\rm \Sigma_{gas}$ per free-fall time and orbital time for Galactic clouds. At the same time, we do not observe any correlation with $\rm \Sigma_{gas}$ per crossing time and multi free-fall time. Even though we see correlations in former cases, however, all models agree with each other within a factor of 0.5 dex, and discriminating between these models is not possible due to the current uncertainties in the input observables. We also test the variation of $\rm \Sigma_{SFR}$ versus the dense gas, but due to low statistics, a weak correlation is seen in our analysis.