Probing Velocity Structures of Protostellar Envelopes: Infalling and Rotating Envelopes within Turbulent Dense Cores

TL;DR

This study uses ALMA and other telescopes to analyze velocity structures in protostellar envelopes, revealing rotation signatures and turbulence influences on different spatial scales in low-mass star-forming regions.

Contribution

It provides detailed velocity profile analyses of protostellar envelopes, highlighting the role of turbulence and rotation at various scales, and introduces new interpretations of observed velocity gradients.

Findings

Velocity gradients indicate envelope rotation at 100-1000 au scales.

Breaks in velocity profiles suggest contamination from larger-scale motions.

Turbulence models explain the observed velocity deviations and scaling laws.

Abstract

We have observed the three low-mass protostars, IRAS 15398$-$3359, L1527 IRS and TMC-1A, with the ALMA 12-m array, the ACA 7-m array, and the IRAM-30m and APEX telescopes in the C$^{18}$O $J=2$-1 emission. Overall, the C$^{18}$O emission shows clear velocity gradients at radii of $\sim$100-1000 au, which likely originate from rotation of envelopes, while velocity gradients are less clear and velocity structures are more perturbed on scales of $\sim$1000-10,000 au. IRAS 15398$-$3359 and L1527 IRS show a break at radii of $\sim$1200 and $\sim$1700 au in the radial profile of the peak velocity, respectively. The peak velocity is proportional to $r^{-1.38}$ or $r^{-1.7}$ within the break radius, which can be interpreted as indicating a rotational motion of the envelope with a degree of contamination of gas motions on larger spatial scales. The peak velocity follows $v_\mathrm{peak} \propto r^{0.68}$ or $v_\mathrm{peak} \propto r^{0.46}$ outside the break radius, which is similar to the $J/M$-$R$ relation of dense cores. TMC-1A exhibits the radial profile of the peak velocity not consistent with the rotational motion of the envelope nor the $J/M$-$R$ relation. The origin of the relation of $v_\mathrm{peak} \propto r^{0.46\operatorname{-}0.68}$ is investigated by examining correlations of the velocity deviation ($\delta v$) and the spatial scale ($\tau$) in the two sources. Obtained spatial correlations, $\delta v \propto \tau^{\sim0.6}$, are consistent with the scaling law predicted by turbulence models, which may suggest the large-scale velocity structures originate from turbulence.