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Copyright by Athena Ranice Stacy 2011 - The University of Texas at ...

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Figure 6.6: MBE as a function <strong>of</strong> hydrogen number density for freely-falling<br />

clouds inside minihalos <strong>at</strong> z ∼ 20. <strong>The</strong> curves correspond to the evolution<br />

shown in Fig. 6.2, and we adopt the same convention for the lines. Notice<br />

th<strong>at</strong> the BE mass, which gives a rough indic<strong>at</strong>ion for the final stellar mass,<br />

can decrease <strong>by</strong> up to a factor <strong>of</strong> 10, given th<strong>at</strong> a sufficient flux <strong>of</strong> low-energy<br />

CRs is present.<br />

fragment<strong>at</strong>ion occurs and the BE mass is relevant, <strong>at</strong> least to zeroth order,<br />

given th<strong>at</strong> star form<strong>at</strong>ion is too complex to allow reliable predictions from<br />

simple one-zone models such as considered here (e.g. Larson 2003).<br />

Bearing this cave<strong>at</strong> in mind, we find th<strong>at</strong>, with a sufficiently strong CR<br />

flux present, the gas density <strong>at</strong> which the ‘loitering phase’ occurs is increased <strong>by</strong><br />

a factor <strong>of</strong> ∼ 10−100, and the corresponding temper<strong>at</strong>ure decreased <strong>by</strong> a factor<br />

<strong>of</strong> 2 to 3. Evalu<strong>at</strong>ing Equ. (6.37) shows th<strong>at</strong> the BE mass thus decreases <strong>by</strong> an<br />

order <strong>of</strong> magnitude down to around 10 M⊙. This is the mass scale <strong>of</strong> wh<strong>at</strong> has<br />

been termed ‘Pop II.5’ stars (e.g. Mackey et al. 2003; Johnson and Bromm<br />

174

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