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Aug. 17 @ Tartu Workshop. Formation of the first and second generation stars. Kazu Omukai (NAOJ). Outline. Formation of the First Stars Why they are supposed to be very massive (100-1000M sun )? Formation of the 2nd-generation stars
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Aug. 17 @ Tartu Workshop Formation of the first and second generation stars Kazu Omukai (NAOJ)
Outline • Formation of the First Stars Why they are supposed to be very massive (100-1000Msun)? • Formation of the 2nd-generation stars When and how did the transition to low-mass stars occur ? • “Second-generation” includes • 2nd-gen. zero-metal stars • Extremely metal-poor stars
Formation of the First Stars • First Stars (definition) • made of primordial pristine gas (H, He, small Li) • formed from the cosmological initial condition • (no astrophysical feedback)
Scenario of the First Star Formation 1. Formation of the First Object 2. Fragmentation of the First Objects 3. Collapse of Dense Cores: Formation of Protostar 4. Accretion of ambient gas and Relaxation to Main Sequence Star
Fragmentation of First Objects: Formation of Dense Cores 3D similation (Bromm et al. 2001; Abel et al. 2002) filamentary clouds (Nakamura & Umemura 2001) Typical mass scale of fragmentation; Dense cores ~a few x 102-103Msun Bromm et al.. 2001 These massive cores will collapse and form protostars.
First Star Accretion • High accretion rate • Mdot = cs3/G ~ T3/2 • =0.001-0.01Msun/yr • for metal-free clouds (T ~300 K) • short formation time • (c.f.10-6-10-5Msun/yr • for the present-day case) • (2) low opacity in accreting matter • because of no dust • lower radiation pressure • (smaller stellar feedback)
Protostellar Evolution with Accretion Protostellar Radius 3b、expansion 1、adiabatic phase tKH >tacc 2, KH contr. 3a, ZAMS (K.O. & Palla 2003) • Owing to fast accretion, the star becomes massive before H burning. (H burning via CN cycle starts at 40-100Msun) • Accretion continues if accretion rate <Mdotcrit=4x10-3Msun/yr • (if >Mdotcrit , no stationary solution for >~100Msun)
Protostellar Evolution with ABN(2002) Accretion Rate Evolution of radius under the ABN accretion rate • Accretion continues…. • the final stellar mass will be 600Msun • Or accretion may stop owing to photoevaporation of the disk at 200Msun (Tan & McKee 2004)
Mass of First Stars Mstar=min( Mfrag, Mdot tOB, Mfeedback) Mfrag:fragmentation mass ~1000Msun Mdot:accretion rate ~10-3Msun tOB: massive star lifetime ~106yr Mdot tOB ~1000Msun Mfeedback: mass of star when the accretion is halted by stellar feedback > 100Msun Mstar=100-1000Msun
2nd Generation Star Formation • Different Initial Condition • Ionization by the first stars • Density fluctuation by SN blast wave, or HII region • Different Environment • External Radiation (UV, Cosmic Ray) • Different Composition • Metal Enrichment • Dust formation
ionized ionized neutral Star formationin fossil HII regions (Oh & Haiman 2004; Nagakura & K.O. 2005) • After the death of the exciting star, star formation restarts inside the fossil HII region.
Star formation in fossil HII regions (Nagakura & K.O. 2005) Chemical evolution • High ionization degree facilitates the formation of H2 and HD. • HD cooling T~30K low-mass star formation (<Msun; e.g. Uehara & Inutsuka 1999). Temperature evolution
1) Dust cooling: [Z/H]~-5 2) H2 formation on dust: [Z/H]~-4 3) metal-line cooling: [Z/H]~-3 1 2 3 Metallicity Effects Omukai, Tsuribe, Schneider & Ferrara (2005)
Metals and Fragmentation scales Schneider, Ferrara, Natarajan, & K.O. (2002) • Formation of massive fragments by H2 cooling continues until some metallicity, say Z~10-5Zsun • For higher metallicity, sub-solar mass fragmentation is possible by dust cooling.
Conclusion • Metal-free stars consist of • first-generation stars (cosmologicalinitial condition, H2cooling) typically very massive ~102-103Msun • second-generation stars (e.g., HD cooling) can be less massive • Metal enrichment Slight amount of metals (~10-5Zsun)can induce the transition from massive to low-mass star formation mode.
Metallicity Effect: Radiation Pressure on to Dust Grains if kd>kes, radiation pressure onto dust shell is more important. => massive SF • This occurs ~0.01Zsun • For Z<0.01Zsun Accretion process is not changed from Z=0
Photodissociation Effects of UV Radiation Field Star Formation in Small Objects (Tvir < 104K) (K.O. & Nishi 1999) • Only one or a few massive stars can photodissociate entire parental objects. • Without H2 cooling, following star formation is inhibited. Only One star is formed at a time.
Fragmentaion scale vs UV intensity Effects of external FUV radiation Star formation in large objects (Tvir>104K) K.O. & Yoshii 2003 Evolution of T in the prestellar collapse radiation: Jn=W Bn(105K) from massive PopIII stars • log(W)=-15 ; critical value • W<WcritH2 formation, and cooling • W>Wcrit no H2 (Lyα –– H- f-b cooling) • Fragmentation scale • H2 cooling clumps (logW < -15) Mfrag~2000-40Msun • Atomic cooling clumps(logW > -15) Mfrag~0.3Msun In starburst of large objects, subsolar mass Pop III Stars can be formed. Fragmentaion scale decreases for stronger radiation
Metals and Mass of Stars 10-2Zsun 0 10-5Zsun Zsun Massive frag. Low-mass frag. possible Accretion halted by dust rad force Accretion not halted Massive stars Low-mass & massive stars Low-mass stars
Critical accretion rate Total Luminosity (if ZAMS) Exceeds Eddington limit if the accretion rate is larger than In the case that Mdot > Mdot_crit, the stars cannot reach the ZAMS structure with continuing accretion.
3D simulations for prestellar collapse • The 3D calculations have reached n>1012cm-3 (radiative transfer needed for higher density; cf. n~1022cm-3 for protostars) • Overall evolution is similar to the 1D calculation. Abel, Bryan & Norman 2002 Bromm & Loeb 2004
Pop I vs Pop III Star Formation Pop I core Mstar : 10-3Msun Mfrag: >0.1Msun Mdot: 10-5Msun With dust grains Pop III core Mstar : 10-3Msun Mfrag : >103Msun Mdot : 10-2Msun No dust grain Massive stars (>10Msun) are difficult to form. Accretion continues. Very massive star formation (100-1000Msun)
Heger, Baraffe, Woosley 2001 Metals from the First SNe • Type II SN 8-25Msun • Pair-instability SN 150-250Msun SN II PISN Two windows
Metals and Dusts from the First Stars Schneider, Inoue, K.O., Ferrara in prep. Progenitor: SN II (22Msun) Progenitor: PISN (195Msun) • Dust from SNe (c.f. present-day dust from AGB stars) • larger area per unit dust mass (smaller radius) • more refractory composition (silicates, amorphous carbon) Becomes important even with smaller amount of dust
My talk covers these phases. Scenario of Present-day Star Formation
How much is the accretion rate onto the first protostars? Several groups found similar accretion rates. • The rate is very high ~0.01Msun/yr because of high prestellar temperature ~300 K (c.f.10-6-10-5Msun/yr for the present-day case) • The rate decreases with time. Glover (2004)
Key Observations • Early reionization of IGM te=0.17 zreion=17 (WMAP) caused by first stars? • Number and abundance pattern of metal poor stars ( [Fe/H] = -5 – -2 ) So far still very limited !!!
Before the First Stars SIMPLE • Cosmological initial condition (well-defined) • Pristine H, He gas, no dusts, no radiation field (except CMB), CR simple chemistry and thermal process • No magnetic field (simple dynamics) After the First Stars COMPLICATED • Feedback (SN, stellar wind) turbulent ISM • metal /dust enriched gas • radiation field (except CMB), CR • complicated microphysics • magnetic field MHD
Pop III Dense Cores to Protostars: Dynamical Evolution (K.O. & Nishi 1998) • self-similar collapseup to n~1020cm-3 • protostar formation state 6; n~1022cm-3, T~30000K, Mstar~10-3Msun (very similar to Pop I protostars)