학술논문
Free-floating Planet Mass Function from MOA-II 9 yr Survey toward the Galactic Bulge
Document Type
article
Author
Takahiro Sumi; Naoki Koshimoto; David P. Bennett; Nicholas J. Rattenbury; Fumio Abe; Richard Barry; Aparna Bhattacharya; Ian A. Bond; Hirosane Fujii; Akihiko Fukui; Ryusei Hamada; Yuki Hirao; Stela Ishitani Silva; Yoshitaka Itow; Rintaro Kirikawa; Iona Kondo; Yutaka Matsubara; Shota Miyazaki; Yasushi Muraki; Greg Olmschenk; Clément Ranc; Yuki Satoh; Daisuke Suzuki; Mio Tomoyoshi; Paul . J. Tristram; Aikaterini Vandorou; Hibiki Yama; Kansuke Yamashita; MOA Collaboration
Source
The Astronomical Journal, Vol 166, Iss 3, p 108 (2023)
Subject
Language
English
ISSN
1538-3881
Abstract
We present the first measurement of the mass function of free-floating planets (FFPs), or very wide orbit planets down to an Earth mass, from the MOA-II microlensing survey in 2006–2014. Six events are likely to be due to planets with Einstein radius crossing times t _E < 0.5 days, and the shortest has t _E = 0.057 ± 0.016 days and an angular Einstein radius of θ _E = 0.90 ± 0.14 μ as. We measure the detection efficiency depending on both t _E and θ _E with image-level simulations for the first time. These short events are well modeled by a power-law mass function, ${{dN}}_{4}/d\mathrm{log}M={({2.18}_{-1.40}^{+0.52})\times (M/8\,{M}_{\oplus })}^{-{\alpha }_{4}}$ dex ^−1 star ^−1 with ${\alpha }_{4}={0.96}_{-0.27}^{+0.47}$ for M / M _⊙ < 0.02. This implies a total of $f={21}_{-13}^{+23}$ FFPs or very wide orbit planets of mass 0.33 < M / M _⊕ < 6660 per star, with a total mass of ${80}_{-47}^{+73}{M}_{\oplus }$ star ^−1 . The number of FFPs is ${19}_{-13}^{+23}$ times the number of planets in wide orbits (beyond the snow line), while the total masses are of the same order. This suggests that the FFPs have been ejected from bound planetary systems that may have had an initial mass function with a power-law index of α ∼ 0.9, which would imply a total mass of ${171}_{-52}^{+80}{M}_{\oplus }$ star ^−1 . This model predicts that Roman Space Telescope will detect ${988}_{-566}^{+1848}$ FFPs with masses down to that of Mars (including ${575}_{-424}^{+1733}$ with 0.1 ≤ M / M _⊕ ≤ 1). The Sumi et al. large Jupiter-mass FFP population is excluded.