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Brown dwarfs: Not the missing mass Neill Reid, STScI
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..a failed star What is a brown dwarf?
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What about `missing mass’.. actually, it’s missing light.... Originally hypothesised by Zwicky in the 1930s from observations of the Coma cluster
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Missing mass and Coma Velocities of cluster galaxies depend on the mass, M high velocities high mass low velocities low mass Measuring the brightness gives the total luminosity, L (M, L in solar units) Zwicky computed a mass to light ratio, M/L ~ 500 for Coma.. Solar Neighbourhood stars give M/L ~ 3 i.e. ~99% of the mass contributes no light dark matter
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Dark matter on other scales Dark matter is present in galaxy halos: observations by Rubin & others show flat rotation curves at large radii expect decreasing velocities Mass of the Milky Way ~ 10 12 M Sun ~90% dark matter
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Local missing mass Use the motions of stars perpendicular to the Galactic Plane to derive a dynamical mass estimate Compare with the local census of stars, gas and dust
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The Oort limit Dynamical mass estimates made by Kapteyn & Jeans in 1920s First comparison with local census by Oort, 1932 Dynamical mass ~ 0.09 M Sun pc -3 Stars ~ 0.04 M Sun pc -3 Gas & dust ~ 0.03 M Sun pc -3 0.02 M Sun pc -3 “missing” described as ‘dark matter’ distributed in a disk assumed to be low-mass stars Oort re-calculated the dynamical mass in 1960 ~ 0.15 M Sun pc -3 ~ 0.07 M Sun pc -3 “missing”
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Dark matter on different scales Three types of missing mass: 1.Galaxy clusters – 99% dark matter, 10 14 M Sun distributed throughout the cluster 2.Galaxies – 90% dark matter, 10 12 M Sun distributed in spheroidal halo 3. Local disk - <50% dark matter, <10 10 M Sun distributed in a disk
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So what has all this to do with brown dwarfs? Solving the missing mass problem requires objects with high mass-to-light ratios – Vega – 2.5 solar mass A star: M/L ~ 0.05 Sun - 1 solar mass G dwarf: M/L = 1 Proxima – 0.1 solar mass M5 dwarf: M/L ~ 85 Gl 229B – 0.05 solar mass BD: M/L~ 8000 low mass stars and brown dwarfs have the right M/L BUT you need lots of them.... Galactic halo dark matter ~ 10 12 solar masses requires ~ 10 14 brown dwarfs nearest BD should be within 1 pc. of the Sun
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Taking a census Finding the number of brown dwarfs requires that we determine the mass function (M) = No. of stars(BDs) / unit mass / unit volume = c. M BD /N star ~ 0.1, so BD /M star ~ 0.01 = 1 BD /N star ~ 1, so BD /M star ~ 0.1 > 2 BD /N star > 10, so BD /M star > 1 In only the last case are brown dwarfs viable dark matter candidates
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They’re cool - T < 3000 K red colours They’re faint - L < 0.001 L Sun only visible within the immediate vicinity therefore need to survey lots of sky Methods 1.Photometric – look for red starlike objects 2.Spectroscopic – look for characteristics absorption bands 3.Motion – look for faint stars which move 4.Companions – look near known nearby stars How to find low-mass stars/BDs
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Oort’s 1960 calculation indicated ~50% of the disk was dark matter required 2000 to 5000 undiscovered M dwarfs/brown dwarfs within ~30 l.y. of the Sun i.e. 1 to 3 closer than Proxima Cen Surveys in the 60s were limited to photographic techniques Objective prism surveys Blue/red comparisons Proper motion surveys Missing mass in the ’60s & ’70s
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Finding low mass stars (1) Objective prism surveys: Pesch & Sanduleak Scan the plates by eye and pick out and classify cool dwarfs
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Finding low mass stars (2) Photometric surveys: Donna Weistrop IRIS photometry of Palomar Schmidt plates Wolf 359.. red Wolf 359.. blue
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Finding low mass stars (3) 1952 1991 Identify faint stars with large proper motions: Willem Luyten, using Palomar Schmidt – to ~19 th mag.
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The results Analysis of both objective prism and imaging surveys suggested that M dwarfs were the disk missing mass. Luyten disagreed... “The Messiahs of the Missing Mass” “The Weistrop Watergate” “More bedtime stories from Lick Observatory”
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The resolution Both (B-V) and spectral type are poor luminosity indicators for M dwarfs: small error in (B-V), large error in M V. Systematics kill.... Surveys tended to overestimate sp. type & overestimate redness underestimate luminosity, distance overestimate density By early 80s, M dwarfs were eliminated as potential dark matter candidates. Recent analysis indicates there is NO missing matter in the disk. Moral: be very careful if you find what you’re looking for.
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So what about brown dwarfs? Some are easier to find than others...
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The HR diagram Brown dwarfs are ~15 magnitudes fainter than the Sun at visual magnitudes (~10 6 ) Sun
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Modern method Photographic surveys are limited to < 0.8 microns Flux distribution peaks at ~ 1 micron search at near-IR wavelengths SDSS – far-red DENIS – red/near-IR 2MASS – near-IR 2MASS SDSS Photo
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Meanwhile…... Discovery of Gl 229B confirms that brown dwarfs exist. Blue IR colours due to CH 4 T < 1300K
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Field brown dwarfs New surveys turned up over 120 ultracool dwarfs. Some could have been found photographically. Two new spectral classes: OBAFGKM L 2100 1300K T < 1300 K
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Field T dwarfs Only ~20 T dwarfs known; none visible on photographic sky surveys
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Cool dwarf spectra Spectral class L: decreasing TiO, VO - dust depletion increasing FeH, CrH, water lower opacities - increasingly strong alkali absorption Na, K, Cs, Rb, Li
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What do brown dwarfs look like? The Sun M8 L5 T4 Jupiter To scale
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..and if we had IR-sensitive eyes
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A statistical update Within 8 parsecs of the Sun there are: Primaries Companions A stars 4 - F stars 1 - G dwarfs 9 - K dwarfs 23 8 M dwarfs 91 38 white dwarfs 7 5 brown dwarfs 1 2 known A total of 179 stars in 135 systems (including the Sun) Average distance between systems = 2.5 pc. (~8 l.y.) How many brown dwarfs might there be?
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The stellar mass function ~ 1.1 for masses below 1 M Sun ~ 3 for higher masses
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The problem Brown dwarfs fade rapidly with time; lower-mass BDs fade faster than high-mass BDs; even our most sensitive current surveys detect a fraction of the BD population, preferentially young, high-mass
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What lies beneath? young brown dwarfs – types M, L + a few Ts Middle-aged and old brown dwarfs..... the majority
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A new survey NStars project with Kelle Cruz (U.Penn.), Jim Liebert (U.A), Davy Kirkpatrick (IPAC) 2MASS 2 nd Release includes ~2 x 10 8 sources over ~47% of the sky. Select sources with (J, (J-K)) matching M8 – L8 dwarfs within 20 parsecs
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Preliminary results 2224 sources initially 430 spurious 1794 viable candidates cross-reference vs DSS, IRAS, SIMBAD etc; KPNO/CTIO spectra 130 M8, M9 dwarfs 80 L dwarfs, ~30 at d<20 pc 248 targets lack observations 1-3 L dwarfs / 1000 pc 3 i.e. 2-6 within 8 pc. x 10 for T dwarfs
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So are BDs dark matter? No..... 0.5 < < 1.3 brown dwarfs may be twice as common as H-burning stars BUT they only contribute ~10% as much mass
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Conclusions Low-mass stars and brown dwarfs have been postulated as potential dark matter candidates for over 50 years. Based on the results from recent, deep, near-infrared surveys, notably 2MASS and SDSS, both can be ruled out as viable dark matter candidates. Brown dwarfs are much more interesting as a link between star formation and planet formation
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The Dutch exclusion principle
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