The Deuteration Clock for Massive Starless Cores

TL;DR

This study uses deuteration rates of N2H+ in massive starless cores to constrain their collapse rates, suggesting they are supported by magnetic fields and are near virial equilibrium, which informs star formation models.

Contribution

Introduces chemodynamical modeling of deuteration to estimate collapse rates of massive starless cores, highlighting the role of magnetic support and near virial equilibrium.

Findings

Deuterium fraction in cores is about 0.3, much higher than cosmic levels.

Most models indicate slow collapse with alpha_ff around 0.1.

Supports the presence of strong magnetic fields in cores.

Abstract

To understand massive star formation requires study of its initial conditions. Two massive starless core candidates, C1-N & C1-S, have been detected in IRDC G028.37+00.07 in $\rm N_2D^+$(3-2) with $ALMA$. From their line widths, either the cores are subvirial and are thus young structures on the verge of near free-fall collapse, or they are threaded by $\sim1$ mG $B$-fields that help support them in near virial equilibrium and potentially have older ages. We modeled the deuteration rate of $\rm N_2H^+$ to constrain collapse rates of the cores. First, to measure their current deuterium fraction, $D_{\rm frac}^{\rm N_2H^+}$ $\equiv [\rm N_2D^+]/[N_2H^+]$, we observed multiple transitions of $\rm N_2H^+$ and $\rm N_2D^+$ with $CARMA$, $SMA$, $JCMT$, $NRO~45m$ and $IRAM~30m$, to complement the $ALMA$ data. For both cores we derived $D_{\rm frac}^{\rm N_2H^+}\sim0.3$, several orders of magnitude above the cosmic [D]/[H] ratio. We then carried out chemodynamical modeling, exploring how collapse rate relative to free-fall, $\alpha_{\rm ff}$, affects the level of $D_{\rm frac}^{\rm N_2H^+}$ that is achieved from a given initial condition. To reach the observed $D_{\rm frac}^{\rm N_2H^+}$, most models require slow collapse with $\alpha_{\rm ff}\sim0.1$, i.e., $\sim1/10$th of free-fall. This makes it more likely that the cores have been able to reach a near virial equilibrium state and we predict that strong $B$-fields will eventually be detected. The methods developed here will be useful for measurement of the pre-stellar core mass function.