
Probing for Cosmic Dawn Mon. Not. R. astr. Soc. (1986) 220, 259-269 .259L 6MNRAS.220. Cooling of Population III objects in a pressure supported 198 collapse Ofer Lahav* Physics Department, Ben-Gurion University, Beer-Sheva, Israel Accepted 1985 December 17. Received 1985 November 25 ; in original form 1985 August 29 Summary. The cooling and collapse of Population III objects is investigated in the framework of ‘flat’ standard cosmological model. We haveRichard assumed that the Ellis (UCL) significant component of fluctuations was isothermal and that the cooling of the collapsing cloud was due to the H2 molecule. We have taken into account the pressure inside the cloud. The only parameter in our models is the cloud’s mass. Our numerical solutions show that the first bound systems were of about a million solar masses. In the range of 105-107M© there are four different modes of the behaviour of the cloud’s radius, depending on the mass: expansion, expansion followed by collapse because of the cooling, collapse after oscillations due to the pressure, and a direct contraction. It is suggested that the different ways to collapse gave rise to different fragmentation processes and hence to different star systems with a similar mass. We find that the collapse was delayed by the pressure, and the first clouds completed their contraction at redshift 100-140. 1 Introduction In this paper we reconsiderOfer@60 the problem of the masses that first collapsed to form bound systems, April 9th 2019 the so-called Population III objects. The formation of structures in the post-recombination gaseous medium is commonly explained by gravitational instabilities experienced by primordial density fluctuations. In a self-gravitating collapsing cloud the temperature tends to increase with contraction. A cooling mechanism is required to lower the pressure opposing gravity (Jeans criterion). The condition for efficient cooling is that the cooling time-scale be shorter than the free-fall time-scale (Yoneyama 1972). The difficulty in cooling the post-recombination clouds is due to the simplicity of the chemical composition of the cold medium. The main cooling agent is the hydrogen molecule that is formed during the collapse (Takayanagy & Nishimura 1960). According to Peebles & Dicke (1968) the first objects to form were the globular clusters. Recent works on that subject are by Hutchins (1976); Silk (1977, 1983); Carlberg (1981); Palla, Salpeter & Stabler (1983) and Lepp & Shull * Present address: Institute of Astronomy, Madingley Road, Cambridge CB30HA. © Royal Astronomical Society • Provided by the NASA Astrophysics Data System The Holy Grail: Locating the First Galaxies? Neutron star mergers & A commonly promoted idea for isolating first generation systems has been to search for chemically pristene examples Rapid (<60 Myr) SN Enrichment in Early Mini-Halos Identifying rare pristene (Pop III) galaxies will be very hard Smith et al (2015) (also Richardson et al 2013, Wise et al 2012, c.f. Cen & Riquelme 2008) Planck Indicates Late and Fast Reionisation CMB polarisation probes foreground Thomson scattering from the start of reionisation to the present epoch. Optical depth of scattering τ constrains the mean redshift <z> and (model dependent) duration of reionisation Parametric models Reionisation begins consistent with PlanckPlanck Collaboration: τ Planck constraints on reionization history PlanckPlanck Collaboration: Collaboration: Planck Planck constraintsToday constraints on on reionization reionization history history δδδzzz===000...5),.5),5), for for for the the the various various various data data data combinations combinations combinations are: are: +++000..014..014014 lollipoplollipop55 ⌧⌧⌧===000...053.053053 000..016..016016,,, lollipoplollipop ;; (4) (4) IONISED −−− +++000..012..012012 lollipop ⌧⌧⌧===000...058.058058 000..012..012012,,, lollipoplollipop++PlanckTTPlanckTT ; ; (5) (5) −−− ⌧ = . +++000..011..011011, lollipoplollipop+ + ⌧⌧==000..058.058058 000..012..012012,, lollipoplollipop++PlanckTTPlanckTT++lensinglensing ; ; (6) (6) −−− ⌧⌧ = .. +++000..012..012012,, lollipoplollipop+ + .. ⌧⌧==000.054.054054 000..013..013013,, lollipoplollipop++PlanckTTPlanckTT++VHLVHL.. (7)(7) −−− WeWeWe can can can see see see an an an improvement improvement improvement of of of the the the posterior posterior width width when when adding adding temperaturetemperaturetemperaturetemperature anisotropy anisotropy anisotropy data data data to to to the the thelollipoplollipop likelihood.likelihood. This This NEUTRAL comescomescomes from from from the the the fact fact fact that that that the the the temperature temperature temperature anisotropies anisotropies help help to to fix fix otherotherother⇤⇤⇤CDMCDMCDM parameters, parameters, parameters, in in in particular particular particular the the normalization normalization of of the the initialinitialinitialinitial power power power power spectrum spectrum spectrumAAAsss,,, and and and its its its spectral spectral spectral index, index, index,nnss.. CMB CMB lens- lens- A inginginging also also also also helps helps helps to to to reduce reduce reduce the the the degeneracy degeneracy degeneracy with with withAAPlanckss,, while while getting getting ridridridrid of of of the the the tension tension tension with with with the the the phenomenological phenomenological phenomenological lensing lensing parameter parameter A when using PlanckTT only (see Planck Collaboration XIII AALLLwhenwhen using using PlanckTT PlanckTT only only (see (seePlanckPlanck Collaboration Collaborationsatellite XIII XIII 201620162016),),), even even even if if if the the the impact impact impact on on on the the the error error error bars bars bars is is small. small. Comparing Comparing thethethethe posteriors posteriors posteriors posteriors in in in Fig. Fig. Fig.666withwithwith the the the constraints constraints constraints from from PlanckTT PlanckTT alone alone (see(see figure figure 45 45 in in PlanckPlanck Collaboration Collaboration XI XI20162016)) shows shows that that in- in- ⌧ = . (see(see figure figure 45 45 in inPlanckPlanck Collaboration Collaboration XI XI20162016)) shows shows that that in- in- Fig.Fig. 6. 6.ConstraintsConstraintsFig. on on4.⌧⌧Left,,,AAs,s,:,n Evolutionns,s,, and and andσσσσ88forforfor of the the the the⇤⇤⇤⇤CDM ionizationCDMCDM cosmol- cosmol- cosmol- fraction for several functions, all having the same optical depth, 0 06: green and blue are deed,deed, the the polarization polarization likelihood likelihood is is su suffifficientlyciently powerful powerful that that it it Fig.Fig. 6. 6. Constraints on , Ass, nss, and 88 for the CDM cosmol- deed,deed, the the polarization polarization likelihood likelihood is is su suffifficientlyciently powerful powerful that that it it ogyogy from from PlanckTT, PlanckTT,for redshift-symmetric showing showing the the impact impact impact impact of ofof instantaneousof replacing replacing replacing replacing the the the the lowP lowP lowP lowP(δz= 0.05) and extended reionization (δz = 0.7), respectively; red is an example of a redshift- Planckbreaksbreaks the the (2016) degeneracy degeneracy between betweenfindnn ssτandand=⌧ ⌧.0.058. The The impact impact on on other other0.012 corresponding to <z> ~8.3lollipop 0.5 breaksbreaks the the degeneracy degeneracy between betweennnss andand⌧⌧.. The The impact impact on on other other likelihoodlikelihood from from fromPlanckPlanck20152015 release release with with with the the the new new newlollipoplollipoplollipop ⇤⇤CDMCDM parameters parameters is is small, small, typically typically below below 0 0..33σσ (as(as shown shown likelihood fromasymmetricPlanck 2015 parameterization; release with the new and light blue and magenta are examples of an ionization fraction defined in redshift bins, with two ⇤⇤CDMCDM parameters parameters is is small, small, typically typically below below 0 0.3.3σσ (as(as shown shown likelihood.likelihood. The The The top top top panels panels panels show show show results results results without without without lensing, lensing, lensing, while while while moremore explicitly explicitly in in Appendix Appendix BB).). The The largest largest changes changes are are for for likelihood. Thebins top inverted panels show between results without these two lensing, examples. while Right: corresponding EE power spectra with cosmic variance in grey. All models have moremore explicitly explicitly in in Appendix Appendix BB).). The The largest largest changes changes are are for for thethe bottom bottom panels panels panels are are are are with with with with lensing. lensing. lensing. lensing. ⌧⌧ andandModelsAAss,, where where the the indicatelollipoplollipop likelihoodlikelihood reionisation dominates dominates the the con- con- began atthe z~10 same optical-12 depthand⌧ ended= 0.06 and areat essentially6 indistinguishable at the reionization bump scale. ⌧⌧andandAAss,, where where the thelollipoplollipoplikelihoodlikelihood dominates dominates the the con- con- straint.straint. The The parameter parameter σσ8 shiftsshifts towards towards slightly slightly smaller smaller val- val- straint.straint. The The parameter parameter σσ8 shiftsshifts towards towards slightly slightly smaller smaller val- val- ues by about 1 σ. This is8 in the right direction to help resolve uesues by by about about 1 1σσ.. This This is is in in the the right right direction direction to to help help resolve resolve thatthat the the IGM IGM was was highly highly ionized ionized by by a a redshift redshift of ofzz 6.6. This This some of the tension
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