IRFM T_eff calibrations for cluster and field giants in the Vilnius, Geneva, RI(C) and DDO photometric systems

Based on a large sample of disk and halo giant stars, for which accurate effective temperatures derived through the InfraRed Flux Method (IRFM) exist, a calibration of the temperature scale in the Vilnius, Geneva, RI(C) and DDO photometric systems is performed. We provide calibration formulae for the metallicity dependent T_eff vs color relations as well as grids of intrinsic colors and compare them with other calibrations. Photometry, atmospheric parameters and reddening corrections for the stars of the sample have been updated with respect to the original sources in order to reduce the dispersion of the fits. Application of our results to Arcturus leads to an effective temperature in excellent agreement with the value derived from its angular diameter and integrated flux. The effects of gravity on these T_eff vs color relations are also explored by taking into account our previous results for dwarf stars.Comment: Accepted for publication in A&

An empirical calibration of Lick indices using Milky Way Globular Clusters

To provide an empirical calibration relation in order to convert Lick indices into abundances for the integrated light of old, simple stellar populations for a large range in the observed [Fe/H] and [alpha/Fe]. This calibration supersedes the previously adopted ones because it is be based on the real abundance pattern of the stars instead of the commonly adopted metallicity scale derived from the colours. We carried out a long-slit spectroscopic study of 23 Galactic globular cluster for which detailed chemical abundances in stars have been recently measured. The line-strength indices, as coded by the Lick system and by Serven et al. (2005), were measured in low-resolution integrated spectra of the GC light. The results were compared to average abundances and abundance ratios in stars taken from the compilation by Pritzl et al. (2005) as well as to synthetic models. Fe-related indices grow linearly as a function of [Fe/H] for [Fe/H]>-2. Mg-related indices respond in a similar way to [Mg/H] variations, however Mgb turns out to be a less reliable metallicity indicator for [Z/H]<-1.5 . Despite the known Mg overabundance with respect to Fe in GC stars, it proved impossible to infer a mean [Mg/Fe] for integrated spectra that correlates with the resolved stars properties, because the sensitivity of the indices to [Mg/Fe] is smaller at lower metallicities. We present empirical calibrations for Ca, TiO, Ba and Eu indices as well as the measurements of H_alpha and NaD.Comment: 16 pages, 15 figures, to appear on A&

Measuring age, metallicity and abundance ratios from absorption line indices

In this study we present detailed calculations of absorption line indices on the Lick System based on the stellar models by Salasnich et al. (2000) calculated with enhanced mix of alpha-elements. Using the so-called Response Functions (RFs) of Tripicco & Bell (1995, TB95), we calculate the indices for SSPs of different age, metallicity and enhancement. We made use of the triplet Hb, Mgb and , and Minimum-Distance Method proposed by Trager et al. (2000, TFWG00) to estimate the age, metallicity and enhancement degree for the galaxies of the Gonzalez (1993) sample, and compare the results with those TFWG00 and Thomas et al (2003). Since very large differences are found, in particular as far as the age is concerned, we analyze in a great detail all possible sources of disagreement, going from the stellar models and SSPs to many technical details of the procedure to calculate the indices, and finally the pattern of chemical elements (especially when alpha-enhanced mixtures are adopted). The key issue of the analysis is that at given metallicity Z and enhancement factor, the specific abundance ratios [Xel/Fe] adopted for some elements (e.g. O, Mg, Ti, and likely others) dominate the scene because with the TB95 RFs they may strongly affect indices like Hb and the age in turn. Finally we have drawn some remarks on the interpretation of the distribution of early-type galaxies in popular two-indices planes, like Hb vs. [MgFe]. We argue that part of the scatter along the Hb axis observed in this plane could be attributed instead of the age, the current explanation, to a spread both in the degree of enhancement and some abundance ratios. The main conclusion of this study is that deriving ages, metallicities and degree of enhancement from line indices is a cumbersome affair whose results are still uncertain.Comment: 26 pages, 17 figures, accepted for publication in MNRAS. This is a revised version of our previous submission to astro-ph/030524

Bolometric correction and spectral energy distribution of cool stars in Galactic clusters

We have investigated the relevant trend of the bolometric correction (BC) at the cool-temperature regime of red giant stars and its possible dependence on stellar metallicity. Our analysis relies on a wide sample of optical-infrared spectroscopic observations, along the 3500A-2.5micron wavelength range, for a grid of 92 red giant stars in five (3 globular + 2 open) Galactic clusters, along the -2.2<[Fe/H]<+0.4 metallicity range. Bolometric magnitudes have been found within an internal accuracy of a few percent. Making use of our new database, we provide a set of fitting functions for the V and K BC vs. Teff and broad-band colors, valid over the interval 3300K<Teff<5000K, especially suited for Red Giants. No evident drift of both BC(V) and BC(K) with [Fe/H] is found. Things may be different, however, for the B-band correction, given a clear (B-V) vs. [Fe/H] correlation in place for our data, with metal-poor stars displaying a "bluer" (B-V) with respect to the metal-rich sample, for fixed Teff. Our empirical bolometric scale supports the conclusion that (a) BC(K) from the most recent studies are reliable within <0.1 mag over the whole color/temperature range considered in this paper, and (b) the same conclusion apply to BC(V) only for stars warmer than ~3800K. At cooler temperatures the agreement is less general, and MARCS models are the only ones providing a satisfactory match to observations.Comment: 18 pages with 12 color figures and 12 tables. To appear in the MNRAS. Full spectral catalog of stars available at http://www.bo.astro.it/~eps/home.htm

A six-parameter space to describe galaxy diversification

Galaxy diversification proceeds by transforming events like accretion, interaction or mergers. These explain the formation and evolution of galaxies that can now be described with many observables. Multivariate analyses are the obvious tools to tackle the datasets and understand the differences between different kinds of objects. However, depending on the method used, redundancies, incompatibilities or subjective choices of the parameters can void the usefulness of such analyses. The behaviour of the available parameters should be analysed before an objective reduction of dimensionality and subsequent clustering analyses can be undertaken, especially in an evolutionary context. We study a sample of 424 early-type galaxies described by 25 parameters, ten of which are Lick indices, to identify the most structuring parameters and determine an evolutionary classification of these objects. Four independent statistical methods are used to investigate the discriminant properties of the observables and the partitioning of the 424 galaxies: Principal Component Analysis, K-means cluster analysis, Minimum Contradiction Analysis and Cladistics. (abridged)Comment: Accepted for publicationin A\&

The Age, Extinction and Distance of the Old, Metal-Rich Open Cluster NGC 6791

An extensive grid of metal-rich isochrones utilizing the latest available input physics has been calculated for comparison with the old, metal-rich open cluster NGC 6791. The isochrones have been simultaneously fit to BV and VI color magnitude diagrams, with the same composition, reddening and distance modulus required for both colors. Our best fitting isochrone assumes [Fe/H] = +0.4, scaled solar abundance ratios, and dY/dZ = 2 (Y = 0.31), yielding an excellent fit to the data at all points along the major sequences. The resulting age is 8 Gyr, with E(B-V) = 0.10 and (m-M)_v = 13.42. The derived cluster parameters are fairly robust to variations in the isochrone [Fe/H] and helium abundances. All of the acceptable fits indicate that 0.07 < E(B-V) < 0.14$, 13.29 < (m-M)_v < 13.46, and that NGC 6791 has an age of 8.0+/- 0.5 Gyr. The fits also suggest that dY/dZ lies between 1 and 3. A metallicity as low as solar is clearly ruled out, as is dY/dZ = 0. Comparison with previous isochrone studies indicates that the derived reddening is primarily due to our use of the most recent color transformations, whereas the age depends upon both the colors and the input physics. Our isochrones provide an excellent fit to the Hyades zero-age main sequence as determined by Hipparcos, providing evidence that our derived reddening and distance modulus are reliable.Comment: 37 pages, 13 figures, to appear in A

Integrated Spectroscopy of Bulge Globular Clusters and Fields. II. Implications for stellar population models and elliptical galaxies

Synthetic Lick indices (e.g. Mg_2, Fe, etc.) of Simple Stellar Population (SSP) models are calibrated for the first time up to solar metallicity with a sample of Milky Way globular clusters (GCs) which includes the metal rich GCs of the Galactic bulge. This metallicity range is relevant to elliptical galaxies. It is shown that the Bulge GCs and integrated light follow the same correlation between Mg and Fe indices of elliptical galaxies, showing weaker Fe indices at given Mg indices with respect to models that assume solar-scaled abundances. This similarity is the robust empirical evidence for enhanced alpha/Fe ratios in the stellar populations of elliptical galaxies, since the globular clusters are independently known to be alpha-enhanced. The uniqueness of this alpha-overabundance solution is checked by exploring the whole range of model ingredients. We argue that the standard models reproduce the Mg-Fe correlation at low metallicities because the stellar templates used in the synthesis are the alpha-enhanced stars of the galactic Halo. These same models, however, fail to recover the Mg-Fe pattern of Bulge clusters and ellipticals at high metallicities because the high-metallicity templates are disk stars, which are not alpha-enhanced. The new SSP models by Thomas, Maraston & Bender (2002) which incorporate the dependence on alpha/Fe reproduce the Mg and Fe indices of GCs at all metallicities, with alpha/Fe=+0.3, which is in agreement with spectroscopic abundance determinations. The Balmer indices (Hbeta, Hdelta, Hgamma) are very well calibrated, provided the Horizontal Branch morphology is taken into account. In particular, we reproduce the Balmer lines of NGC 6388 and NGC 6441, which are metal-rich GCs with a tail of warm Horizontal Branch stars. {Abridged}Comment: 19 pages, 13 figures, Astronomy and Astrophysics in press. Only minor changes after the referee repor

New Light on the Formation and Evolution of M31 and its Globular Cluster System

We present spectroscopic ages, metallicities, and [alpha/Fe] ratios for 70 globular clusters in M31 that were derived from Lick line-index measurements. In addition to a population of old (>10 Gyr) globular clusters with a wide range of metallicities, from about -2.0 dex to solar values, we find evidence for a population of intermediate-age globular clusters with ages between ~5 and 8 Gyr and a mean metallicity around [Z/H]=-0.6. We also confirm the presence of young M31 globular clusters that were recently identified by Beasley et al. (2004), which have ages <1 Gyr and relatively high metallicities around -0.4 dex. The M31 globular cluster system has a clearly super-solar mean [alpha/Fe]=0.14\pm0.04 dex. Intermediate-age and young objects show roughly solar abundance ratios. We find evidence for an age-[alpha/Fe] relation in the sense that younger clusters have smaller mean [alpha/Fe] ratios. From a comparison of indices, mostly sensitive to carbon and/or nitrogen abundance, with SSP model predictions for nitrogen-enhanced stellar populations, we find a dichotomy in nitrogen enhancement between young and old M31 globular clusters. The indices of objects older than 5 Gyr are consistent with a factor of three or higher in nitrogen enhancement compared to their younger counterparts. Using kinematical data from Morrison et al. (2004) we find that the globular cluster sub-population with halo kinematics is old (>9 Gyr), has a bimodal metallicity distribution, and super-solar [alpha/Fe]. Disk globular clusters have a wider range of ages, are on average more metal-rich, and have a slightly smaller mean [alpha/Fe] ratio. (abridged)Comment: 32 pages, 12 figures, accepted for publication in A&

Chemical abundance ratios of galactic globular clusters from modelling integrated light spectroscopy

We use our new, flux-calibrated stellar population model of absorption-line indices to derive ages, metallicities, and various element abundance ratios from integrated light spectroscopy of galactic globular clusters. The ages agree well with the literature and are all consistent with the age of the universe. There is a considerable scatter, though, and we obtain systematically larger ages than CMD determinations mostly for metal-rich globular clusters. The metallicities agree well with literature values on the Zinn & West scale, if we adopt iron abundance [Fe/H] for those clusters whose ages agree with the CMD ages. It turns out that the derivation of individual element abundance ratios is not reliable at [Fe/H]<-1 dex, while the [alpha/Fe] ratio is robust at all metallicities. We find general enhancement of light and alpha elements, as expected, with significant variations for some elements. The elements O and Mg follow the same general enhancement with almost identical distributions of [O/Fe] and [Mg/Fe]. We obtain slightly lower [C/Fe] and very high [N/Fe] ratios, instead. This chemical anomaly, commonly attributed to self-enrichment, is well known in globular clusters from individual stellar spectroscopy. It is the first time that this pattern is obtained also from the integrated light. The alpha elements follow a pattern such that the heavier elements Ca and Ti are less enhanced. More specifically, the [Ca/Fe] and [Ti/Fe] ratios are lower than [O/Fe] and [Mg/Fe] by about 0.2 dex. This trend is also seen in recent determinations of element abundances in globular cluster and field stars of the Milky Way. This suggests that Type Ia supernovae contribute significantly to the enrichment of the heavier alpha elements as predicted by nucleosynthesis calculations and galactic chemical evolution models.Comment: MNRAS, re-submitted including referee's comments (minor revision), update on CMD globular cluster age