Table 5. Open in new tab Spearman’s rank...

Parameter

δY_2G,1G

δY_max

[Fe/H]

0.05 ± 0.13, 57

0.02 ± 0.14, 57

M_V

−0.50 ± 0.11, 57

−0.83 ± 0.05, 57

|$log(\mathcal {M}/\mathcal {M}_{\odot })$|

0.54 ± 0.11, 44

0.87 ± 0.05, 44

E(B−V)

−0.01 ± 0.13, 57

0.07 ± 0.14, 57

0.01 ± 0.14, 55

0.04 ± 0.13, 55

R_GC

−0.08 ± 0.14, 57

0.04 ± 0.14, 57

|$v$|_r

−0.27 ± 0.14, 56

0.01 ± 0.13, 56

σ_V

0.53 ± 0.12, 40

0.81 ± 0.09, 40

0.35 ± 0.12, 57

μ_v

−0.46 ± 0.11, 57

−0.60 ± 0.09, 57

ρ₀

0.38 ± 0.12, 57

0.47 ± 0.11, 57

log(τ_c)

−0.10 ± 0.13, 57

−0.03 ± 0.14, 57

log(τ_h)

0.18 ± 0.14, 57

0.36 ± 0.13, 57

age (D10)

0.06 ± 0.14, 57

−0.04 ± 0.14, 57

age (MF09)

−0.03 ± 0.14, 56

−0.10 ± 0.13, 56

age (V13)

0.05 ± 0.14, 52

−0.04 ± 0.14, 52

HBR

0.09 ± 0.13, 54

0.05 ± 0.14, 54

Δ(V-I)

0.20 ± 0.13, 57

0.19 ± 0.14, 57

L_{F275W–F814W} (all)

0.60 ± 0.09, 57

0.36 ± 0.12, 57

L_{F275W–F814W} (blue-HB GCs)

0.77 ± 0.06, 47

0.48 ± 0.12, 47

|$f_{\rm bin}^{\rm C}$|

−0.19 ± 0.18, 35

−0.41 ± 0.15, 35

|$f_{\rm bin}^{\rm C-HM}$|

−0.41 ± 0.14, 46

−0.55 ± 0.10, 46

|$f_{\rm bin}^{\rm oHM}$|

−0.29 ± 0.14, 43

−0.45 ± 0.12, 43

Table 5.

Open in new tab

Spearman’s rank correlation coefficient indicating the dependence between δY_2G,1G (Column 2), δY_max (Column 3) and several parameters of the host GC. For each couple of parameters we provide the number of analysed GCs. In the case of the L_{F275W–F814W} parameter we provide the correlation coefficients for all the analysed clusters and by excluding those clusters with [Fe/H] > −0.99 that display only the red HB.

Parameter	δY_2G,1G	δY_max
[Fe/H]	0.05 ± 0.13, 57	0.02 ± 0.14, 57
M_V	−0.50 ± 0.11, 57	−0.83 ± 0.05, 57
\|$log(\mathcal {M}/\mathcal {M}_{\odot })$\|	0.54 ± 0.11, 44	0.87 ± 0.05, 44
E(B−V)	−0.01 ± 0.13, 57	0.07 ± 0.14, 57
ε	0.01 ± 0.14, 55	0.04 ± 0.13, 55
R_GC	−0.08 ± 0.14, 57	0.04 ± 0.14, 57
\|$v$\|_r	−0.27 ± 0.14, 56	0.01 ± 0.13, 56
σ_V	0.53 ± 0.12, 40	0.81 ± 0.09, 40
c	0.35 ± 0.12, 57	0.35 ± 0.12, 57
μ_v	−0.46 ± 0.11, 57	−0.60 ± 0.09, 57
ρ₀	0.38 ± 0.12, 57	0.47 ± 0.11, 57
log(τ_c)	−0.10 ± 0.13, 57	−0.03 ± 0.14, 57
log(τ_h)	0.18 ± 0.14, 57	0.36 ± 0.13, 57
age (D10)	0.06 ± 0.14, 57	−0.04 ± 0.14, 57
age (MF09)	−0.03 ± 0.14, 56	−0.10 ± 0.13, 56
age (V13)	0.05 ± 0.14, 52	−0.04 ± 0.14, 52
HBR	0.09 ± 0.13, 54	0.05 ± 0.14, 54
Δ(V-I)	0.20 ± 0.13, 57	0.19 ± 0.14, 57
L_{F275W–F814W} (all)	0.60 ± 0.09, 57	0.36 ± 0.12, 57
L_{F275W–F814W} (blue-HB GCs)	0.77 ± 0.06, 47	0.48 ± 0.12, 47
\|$f_{\rm bin}^{\rm C}$\|	−0.19 ± 0.18, 35	−0.41 ± 0.15, 35
\|$f_{\rm bin}^{\rm C-HM}$\|	−0.41 ± 0.14, 46	−0.55 ± 0.10, 46
\|$f_{\rm bin}^{\rm oHM}$\|	−0.29 ± 0.14, 43	−0.45 ± 0.12, 43

Parameter	δY_2G,1G	δY_max
[Fe/H]	0.05 ± 0.13, 57	0.02 ± 0.14, 57
M_V	−0.50 ± 0.11, 57	−0.83 ± 0.05, 57
\|$log(\mathcal {M}/\mathcal {M}_{\odot })$\|	0.54 ± 0.11, 44	0.87 ± 0.05, 44
E(B−V)	−0.01 ± 0.13, 57	0.07 ± 0.14, 57
ε	0.01 ± 0.14, 55	0.04 ± 0.13, 55
R_GC	−0.08 ± 0.14, 57	0.04 ± 0.14, 57
\|$v$\|_r	−0.27 ± 0.14, 56	0.01 ± 0.13, 56
σ_V	0.53 ± 0.12, 40	0.81 ± 0.09, 40
c	0.35 ± 0.12, 57	0.35 ± 0.12, 57
μ_v	−0.46 ± 0.11, 57	−0.60 ± 0.09, 57
ρ₀	0.38 ± 0.12, 57	0.47 ± 0.11, 57
log(τ_c)	−0.10 ± 0.13, 57	−0.03 ± 0.14, 57
log(τ_h)	0.18 ± 0.14, 57	0.36 ± 0.13, 57
age (D10)	0.06 ± 0.14, 57	−0.04 ± 0.14, 57
age (MF09)	−0.03 ± 0.14, 56	−0.10 ± 0.13, 56
age (V13)	0.05 ± 0.14, 52	−0.04 ± 0.14, 52
HBR	0.09 ± 0.13, 54	0.05 ± 0.14, 54
Δ(V-I)	0.20 ± 0.13, 57	0.19 ± 0.14, 57
L_{F275W–F814W} (all)	0.60 ± 0.09, 57	0.36 ± 0.12, 57
L_{F275W–F814W} (blue-HB GCs)	0.77 ± 0.06, 47	0.48 ± 0.12, 47
\|$f_{\rm bin}^{\rm C}$\|	−0.19 ± 0.18, 35	−0.41 ± 0.15, 35
\|$f_{\rm bin}^{\rm C-HM}$\|	−0.41 ± 0.14, 46	−0.55 ± 0.10, 46
\|$f_{\rm bin}^{\rm oHM}$\|	−0.29 ± 0.14, 43	−0.45 ± 0.12, 43

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