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Yutaka Komiya (National Astronomical Observatory of Japan) Takuma Suda (NAOJ), Masayuki Y. Fujimoto (Hokkai Gakuen Univ.)
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Extremely metal-poor (EMP) stars = “ living fossils ” in the local group Observation : ~ 1,000 stars with [Fe/H]<-2.5 is identified in the Milky Way (MW) halo Database: SAGA (Stellar Abundance for Galactic Archaeology, see Suda-san’s poater) 2 nd generation stars chemical signature of Pop. III supernovae (SN) Were low mass Pop. III stars formed ? Pop. III star cluster : Clark+ (2008, 2011), Greif+ (2011), Susa+ (2012) Pop. III binary : Machida+ (2008), Turk+ (2009), Stacy+ (2010) ⇒ Pop. III survivors Pop. III survivors Where are they ? What they looks like ? How can we observe them ?
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Method Hierarchical chemical evolution model based on the concordance cosmology Merging history of the Milky Way (semi-analytic) Gas outflow, circumgalactic matter Surface pollution of stars by the accretion of interstellar matter. Pop. III survivors In the MW halo Surface abundance Outside the MW Escape fraction Spatial distribution, Detection probability ( 2 nd generation stars ) Metallicity distribution Chemical signature of Pop. III stars (PISN) go out from mini-halo. Mini-halo
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Merger tree: Somerville & K (1999) M MW =10 12 M ☉, M min =M(T vir =10 3 K ) Gas infall (merger tree), outflow (SN) All the individual EMP stars are registered in computations Constant star formation efficiency : 1×10 -10 /yr Instantaneous mixing inside mini-halos. Yield : Kobayashi et al.(2006, Type II SN) Nomoto et al. (1984, Type Ia SN) Umeda & Nomoto (2002, PISN) Mini-halo ~10 6 M ☉ Milky Way Proto-galaxy First star First supernova redshift mass
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Lognormal IMF ξ (log m) = exp( -log(m/M md ) 2 / σ 2 ) M md =10M ʘ, σ =0.4 (Pop. II) (Komiya et al. 2007) Binary Binary fraction: 50% Mass ratio distribution: n(q) = 1 Pop. III IMF Fiducial model: M md = 200M ʘ (Pop. III.1), M md = 40M ʘ (Pop. III.2), Z cr = 10 -6 Z ʘ A little low mass Pop. III stars are formed. Parameter dependence Primary Secondary
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EMP star
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Data from SAGA (Suda et al. 2008, 2010) http://saga.sci.hokudai.ac.jp Gray histogram: HES survey (Schöerck+ 2009) Black line : SAGA sample [Mg/Fe] [Ba/Fe] Rp-rpcess source: 8 – 10 M ʘ
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~ 800 Poop. III survivors In the Milky Way halo Their surface abundance is changed by the accretion of interstellar medium (ISM) ⇒ Observed as Z ≠ 0 How much are they polluted ? Outside the Milky Way Some Pop. III stars are escaped from mini-halo when their primary companion explode (3 body interaction in star cluster ) Remains with Z=0 binary SN explosion Secondary star go away
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In the Milky Way halo Metallicity, chemical abundance [Fe/H] ~ -5 ( C, N, s-process: binary mass transfer ) ⇒ Observed as Hyper Metal Poor stars. object [Fe/H] [C/Fe] HE0107-5240: -5.4 +3.7 HE1327-2326: -5.7 +4.16 HE0557-4840: -4.8 +1.65 SDSSJ102915+172927 : -4.89 <0.93
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~ 800 Poop. III survivors. In the Milky Way halo Their surface is polluted by the accretion of interstellar medium (ISM) ⇒ Observed as Z ≠ 0 How much are they polluted ? Outside the Milky Way Some Pop. III stars are escaped from mini-halo when their primary companion explode (3 body interaction in star cluster ) Remains with Z=0 binary SN explosion Secondary star go away
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Outside the Milky Way Escape frequency (We assume that the distribution of the orbital parameters of Pop. III binaries is the same as the solar vicinity ) From mini-halos with 10 6 M ʘ, 20 % of low-mass Pop. III stars go out. Preliminary
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Outside the Milky Way Spatial distribution Preliminary 2 – 3 Mpc 1Mpc3Mpc 100 – 170 Pop. III stars 1000 – 1800 EMP stars ([Fe/H]< -2.5) 300kpc 10 merger trees
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Detection probability Giant V ~ 26 mag @ 1Mpc (Subaru Strategic Program, i<26 mag, u,g,r,I,z band, 1,400 deg^2 by 5 yrs, ) Discrimination Narrow band filter ? Spectroscopic follow-up Main sequence, Turn-off star ⇒ very difficult Evidence of the Hierarchical Galaxy Formation Constrain the Dark-halo Mass of the First Galaxy Preliminary
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Hierarchical chemical evolution model Surface pollution Metal enrichment of circum-galactic matter Pop. III survivors In the Milky Way halo ⇒ observed as HMP stars by the surface pollution Outside the Milky Way halo remained with Z=0 ~100 Pop. III survivors, 2 – 3 Mpc can be observed by Subaru Hyper Suprime-Cam (?)
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IMF of Pop.III M md =10M ʘ Minimum halo mass T vir > 10 4 K
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MDF
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Chemical signature
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Parameter dependence M md (Pop.III.1) = 40M ʘ M md (Pop.III.1) = 10M ʘ Z cr = 10 -4 Z ʘ
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Low mass Pop. III stars Cluster : Clark+ (2008, 2011) Greif+ (2011) Susa+ (2012) … Binary (multiple system) : Machida+ (2008) Turk+ (2009) Stacy+ (2010) … How and where can we observe Pop. III survivors ? Greif+ (2011) Machida+ (2008)
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E k : SN kinetic energy = 0.1*E exp E bin : Binding energy of a proto-glaxy ε (=0.1): minimum outflow energy rate M sw : mass swept up by a SN shell Mini halo First SN SN ejecta Pre-enriched mini halo Gas blowout (SN driven wind) Energy injection : Mass loading : Metal loading : Evolution of galactic wind in the CGM momentum conservation snowplow of th spherical shell
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IMF: Lognrmal IMF, M md =200M ʘ (Pop. III.1), M md =40M ʘ (Pop.III.2) Binary fraction: 50% Mass ratio distribution: n(q)=1 Binary orbit Period: Duquennoy & Mayer (1991) Eccentricity: e=1 Remnant mass of massive stars Woosley (2002) Mini-halo NFW density profile Stars are formed at the center of mini-halo Escape criterion
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t merge Main halo Mass: M mh (t) Merger tree Initial distance: estimated from merger tree. We assume that, distance of mini-halo which accrete to main halo with mass M at t merge = radius of a spherical shell with M which collapse at t merge We computed distance and radial velocity of mini-halos as a function of t merge and M mh (t merge ). Where t merge is a age when the mini-halo accrete to the main halo and M mh (t merge ) is the mass of main halo at the merger. d 2 r/dt 2 = -GM/r 2 + Λ c 2 r/3
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time Universe d 2 r/dt 2 = -GM/r 2 + Λ c 2 r/3
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Main halo r init Angle Θ (random) Mini halo v init d 2 r/dt 2 = -G(M main (t)+4π ρ av r(t) 3 /3)/r 2 + Λ c 2 r/3 + l 2 /r 3 l = r(t form )v esc sin θ
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In the Milky Way halo Hyper metal poor stars = Pop. III survivors ? object [Fe/H] [C/Fe] HE0107-5240: -5.4 +3.7 HE1327-2326: -5.7 +4.16 HE0557-4840: -4.8 +1.65 SDSSJ102915+172927 : -4.7 <0.93 Fe: accretion of ISM C, N. Mg.. : binary mass transfer
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PISN ? (~200 M ʘ ) Low [Zn/Fe] High [Si/Fe], [Ca/Fe] Odd even effect Type II ? (10 – 50 M ʘ ) (typical abundance of the halo stars) Hypernovae ? ( 20 – 50 M ʘ ) Large [Zn/Fe] (Fast rotating star ?) (Supermassive star ?) Umeda & Nomoto (2002)
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Mass ratio Sana & Evans 2010
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Raghavan et al. 2010
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In the Milky Way halo Formation epoch
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Formation redshift of low mass EMP stars (red) and Pop.III stars (green).
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Metal enrichment history of the CGM
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