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Table 3:

Original/final mass of GCs required to produce the observed ratios between number of stars in first and second generations.

Prim/2nd gen
IMF $M_{\rm min}$ $M_{\rm max}$ Prim/2nd gen Original/Current Field/GCs
Current Slope     Original    
(1) (2) (3) (4) (5) (6) (7)
Massive AGB stars (HBB)
0.5 1.35 4 8 11.1 7.4 6.4
0.5 1.85 4 8  9.7 6.5 5.5
0.5 2.35 4 8 15.8 10.6 9.6
0.5 MS 4 8  7.3 4.9 3.9
Fast rotating massive stars
0.5 1.35 12 50 1.8 1.2 0.2
0.5 1.85 12 50 3.3 2.2 1.2
0.5 2.35 12 50 11.2 7.5 6.5
0.5 MS 12 50  3.0 2.3 1.3

Notes.  (1) Current ratio between first and second generation stars; (2) slope $\alpha $ of the IMF ( $N(M)=M^{-\alpha}$; Salpeter (1955) IMF has $\alpha=2.35$; MS means that the IMF by Miller & Scalo (1979) is adopted; (3) Minimum polluter mass (in $M_\odot$); (4) maximum polluter mass (in $M_\odot$); (5) original ratio between first and second generation stars; (6) ratio between the number of low-mass stars in the proto-cluster and in the current GC; (7) current ratio of field stars (=primordial population lost by the cluster) and of GC stars. This is the value that can be compared with observational data.


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