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Issue A&A
Volume 392, Number 1, September II 2002
Page(s) 115 - 129
Section Formation, structure and evolution of stars
DOI http://dx.doi.org/10.1051/0004-6361:20020840



A&A 392, 115-129 (2002)
DOI: 10.1051/0004-6361:20020840

Does the mixing length parameter depend on metallicity?

Further tests of evolutionary sequences using homogeneous databases
R. Palmieri1, G. Piotto1, I. Saviane2, L. Girardi3, 1 and V. Castellani4

1  Dipartimento di Astronomia, Università di Padova, Vicolo dell'Osservatorio 2, 35122 Padova, Italy
    e-mail: palmieri,piotto; lgirardi@pd.astro.it
2  European Southern Observatory, 3107 Alonso de Cordova, Casilla 19001, Santiago 19, Chile
    e-mail: isaviane@eso.org
3  Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34131 Trieste, Italy
    e-mail: lgirardi@ts.astro.it
4  Dipartimento di Fisica, Università di Pisa, Piazza Torricelli 2, 56100 Pisa, Italy
    e-mail: vittorio@astr18pi.difi.unipi.it

(Received 5 April (2002) / Accepted 3 May (2002))

Abstract
This paper is a further step in the investigation of the morphology of the color-magnitude diagram of Galactic globular clusters, and the fine-tuning of theoretical models, made possible by the recent observational efforts to build homogeneous photometric databases. In particular, we examine here the calibration of the morphological parameter $W_{\rm HB}$ vs. metallicity, originally proposed by Brocato et al. (1998; B98), which essentially measures the color position of the red-giant branch. We show that the parameter can be used to have a first-order estimate of the cluster metallicity, since the dispersion around the mean trend with [Fe/H] is compatible with the measurement errors. The tight $W_{\rm HB}$-[Fe/H] relation is then used to show that variations in helium content or age do not affect the parameter, whereas it is strongly influenced by the mixing-length parameter $\alpha$ (as expected). This fact allows us, for the first time, to state that there is no trend of $\alpha$ with the metal content of a cluster. A thorough examination of the interrelated questions of the $\alpha$-elements enhancement and the color- $T_{\rm eff}$ transformations, highlights that there is an urgent need for an independent assessment of which of the two presently accepted metallicity scales is the true indicator of a cluster's iron content. Whatever scenario is adopted, it also appears that a deep revision of the V-I-temperature relations is needed.


Key words: stars: evolution -- stars: Hertzsprung-Russell (HR) and C-M diagrams -- stars: horizontal-branch -- stars: Population II -- Galaxy: globular clusters: general -- Galaxy: halo

Offprint request: G. Piotto, piotto@pd.astro.it

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© ESO 2002


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