Abstract

Aims. This work analyses the spatial distribution of stars in Taurus with a specific focus on multiple stars and wide pairs in order to derive new constraints on star formation and early dynamical evolution scenarios. Methods. We collected the multiplicity data of stars in Taurus to build an up-to-date stellar/multiplicity catalog. We first present a general study of nearest-neighbor statistics on spatial random distribution, comparing its analytical distribution and moments to those obtained from Monte Carlo samplings. We introduce the one-point correlation Ψ function to complement the pair correlation function and define the spatial regimes departing from randomness in Taurus. We then perform a set of statistical studies to characterize the binary regime that prevails in Taurus. Results. The Ψ function in Taurus has a scale-free trend with a similar exponent as the correlation function at small scale. It extends almost 3 decades up to ~60 kAU showing a potential extended wide binary regime. This was hidden in the correlation function due to the clustering pattern blending. Distinguishing two stellar populations, single stars versus multiple systems (separation ≤1 kAU), within Class II/III stars observed at high angular resolution, we highlight a major spatial neighborhood difference between the two populations using nearest-neighbor statistics. The multiple systems are three times more likely to have a distant companion within 10 kAU when compared to single stars. We show that this is due to the presence of most probable physical ultra-wide pairs (UWPs, defined as such from their mutual nearest neighbor property), that are themselves generally composed of multiple systems containing up to five stars altogether. More generally, our work highlights; 1) a new large population of candidate UWPs in Taurus within the range 1–60 kAU in Taurus and 2) the major local structural role they play up to 60 kAU. There are three different types of UWPs; either composed of two tight and comparatively massive stars (MM), by one single and one multiple (SM), or by two distant low-mass singles (SS) stars. These UWPs are biased towards high multiplicity and higher-stellar-mass components at shorter separations. The multiplicity fraction per ultra-wide pair with separation less than 10 kAU may be as high as 83.5 ± 19.6%. Conclusions. We suggest that these young pre-main sequence UWPs may be pristine imprints of their spatial configuration at birth resulting from a cascade fragmentation scenario of the natal molecular core. They could be the older counterparts, at least for those separated by less than 10 kAU, to the ≤0.5 Myr prestellar cores/Class 0 multiple objects observed at radio/millimeter wavelengths.

Highlights

  • The formation of stars results fundamentally from the runaway unbalance between overwhelming inwards self-gravity and outwards pressure-gradient forces inside a perturbed gas cloud

  • We assess the statistical properties of 1-nearest neighbor separation (1-NNS) couples while defining ultra-wide pairs (UWP) as mutual nearest neighbors in the range of 1–100 kAU and we show the crucial role they play in spatial clustering features

  • In order to identify a criterion that quantifies the departure of a spatial distribution of stars from randomness, we introduce the one-point correlation function based on the 1-NNS distribution

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Summary

Introduction

The formation of stars results fundamentally from the runaway unbalance between overwhelming inwards self-gravity and outwards pressure-gradient forces (thermal, turbulence, magnetic, radiation, etc.) inside a perturbed gas cloud. In turn these filaments shelter single or chains of molecular cores (Tafalla & Hacar 2015) Whether such heterogeneous patterns remain as the relics of the star formation processes in young stellar populations or are totally and quickly erased by subsequent dynamical evolution is an important question. Since multiplicity appears to decrease with age (see for a review Duchêne & Kraus 2013) due to dynamical evolution, observing multiplicity at this young age means that the multiple system-core picture of star formation is the rule rather than the exception In this picture, the maximal size of multiple systems cannot exceed the size of their progenitor cores, typically approximately 20 kAU, that is, 0.1 pc (Ward-Thompson et al 2007). We make a synthesis of results and open a discussion (Sect. 5) before a summary to conclude the paper (Sect. 6)

Input catalog
Multiplicity
Samples
Local spatial analysis
Mean stellar surface density in Taurus
Spatial distribution in Taurus
One and two-point correlation statistics
The two-point and pair correlation functions
The one-point correlation function
Ultra-wide binary regime in Taurus?
Departure from randomness
Local neighborhood of multiples versus single stars
Beyond local neighborhood
Mutual nearest neighbors as ultra-wide pairs
An Öpik law for the UWPs separation
Class pairing in UWPs
High multiplicity fraction within UWPs
Multiplicity pairing within UWPs
UWP multiplicity
Ultra-wide pairs and mass function
Mass ratio in UWPs
UWPs as physical pairs
A short review on wide binaries: models and observations
A pristine origin for these UWPs
Core properties for pristine UWPs
Towards a fragmentation cascade scenario
Distributed and clustered modes of formation clues in Taurus
Conclusion
Moments of first nearest neighbor distribution
Variance
Findings
Skewness
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