The Evolution of the Galactic Globular Clusters. I. Metal Abundance Calibrat Ions

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Five different calibrations of metal abundances of globular clusters are examined and these are compared with metallicity ranking parameters such as (Sp)c, < S>, Q39 and IR-indices.Except for the calibration [Fe/H]_H by the high dispersion echelle analysis, the other calibration scales are correlated with the morphological parameters of red giant branch. In the [Fe/H]_H-scale, the clusters later than ~F8 have nearly a constant metal abundance, [Fe/H]_H = -1.05, regardless of morphological characteristics of horizontal branch and red giant branch. By the two fundamental calibration scales of [Fe/H]_L (derived by the low dispersion analysis) and [Fe/H]_(delta S) (derived by the spectral analysis of RR Lyrae stars), the globular clusters are divided into the halo clusters with [Fe/H]<-1.0 and the disk clusters confined within the galactocentric distance r_G=10 kpc and galactic plane distance |z|=3 kpc. In this case the abundance gradient is given by d[Fe/H]/d(r_G) =-0.05kpc-1 and d[Fe/H]/d|z| =-0.08 kpc-1 within r_G=20 kpc and |z|=10kpc, respectively. According to these characteristics of the spatial distribution of globular clusters, the chemical evolution of the galactic globular clusters can be accounted for by the two zone(dis-halo) slow collapse model when the [Fe/H]_L-or [Fe/H]_(delta S) -scale is applied. In the case of [Fe/H]_H-scale, the one-zone fast collapse model is preferred for the evolution of globular clusters.

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