ON THE ABSOLUTE AGE OF THE METAL-RICH GLOBULAR M71 (NGC 6838). I. OPTICAL PHOTOMETRY

We investigated the absolute age of the Galactic globular cluster M71 (NGC 6838) using optical ground-based images ( u ′ , g ′ , r ′ , i ′ , z ′ ?> ) collected with the MegaCam camera at the Canada–France–Hawaii Telescope (CFHT). We performed a robust selection of field and cluster stars by applying a new method based on the 3D ( r ′ , u ′ − g ′ , g ′ − r ′ ?> ) color–color–magnitude diagram. A comparison between the color–magnitude diagram (CMD) of the candidate cluster stars and a new set of isochrones at the locus of the main sequence turn-off (MSTO) suggests an absolute age of 12 ± 2 Gyr. The absolute age was also estimated using the difference in magnitude between the MSTO and the so-called main sequence knee, a well-defined bending occurring in the lower main sequence. This feature was originally detected in the near-infrared bands and explained as a consequence of an opacity mechanism (collisionally induced absorption of molecular hydrogen) in the atmosphere of cool low-mass stars. The same feature was also detected in the r′, u ′ − g ′ ?> , and in the r ′ , g ′ − r ′ ?> CMD, thus supporting previous theoretical predictions by Borysow et al. The key advantage in using the Δ TO Knee ?> as an age diagnostic is that it is independent of uncertainties affecting the distance, the reddening, and the photometric zero point. We found an absolute age of 12 ± 1 Gyr that agrees, within the errors, with similar age estimates, but the uncertainty is on average a factor of two smaller. We also found that the Δ TO Knee ?> is more sensitive to the metallicity than the MSTO, but the dependence vanishes when using the difference in color between the MSK and the MSTO.

[1]  M. Dall'Ora,et al.  Optical and Near-Infrared UBVRIJHK Photometry for the RR Lyrae Stars in the Nearby Globular Cluster M4 (NGC 6121) , 2014, 1406.7531.

[2]  A. Walker,et al.  ERRATUM: “ON THE KINEMATIC SEPARATION OF FIELD AND CLUSTER STARS ACROSS THE BULGE GLOBULAR NGC 6528” (2014, ApJ, 782, 50) , 2014 .

[3]  S. Cassisi,et al.  The M 4 Core Project with HST - II. Multiple stellar populations at the bottom of the main sequence , 2014, 1401.1091.

[4]  M. Marconi,et al.  BLUE STRAGGLER MASSES FROM PULSATION PROPERTIES. I. THE CASE OF NGC 6541 , 2013, 1312.0388.

[5]  Laura Greggio,et al.  Studying the metallicity gradient in Virgo ellipticals with European-Extremely Large Telescope photometry of resolved stars , 2013, 1311.1003.

[6]  Don A. VandenBerg,et al.  The bifurcated age–metallicity relation of Milky Way globular clusters and its implications for the accretion history of the galaxy , 2013, 1309.0822.

[7]  Luca Casagrande,et al.  THE AGES OF 55 GLOBULAR CLUSTERS AS DETERMINED USING AN IMPROVED METHOD ALONG WITH COLOR–MAGNITUDE DIAGRAM CONSTRAINTS, AND THEIR IMPLICATIONS FOR BROADER ISSUES , 2013, 1308.2257.

[8]  J. Anderson,et al.  FIRST DETECTION OF THE WHITE DWARF COOLING SEQUENCE OF THE GALACTIC BULGE , 2013, 1308.1936.

[9]  C. Bonatto,et al.  Mapping the differential reddening in globular clusters , 2013, 1307.3935.

[10]  P. Moroni,et al.  Cumulative physical uncertainty in modern stellar models. II. The dependence on the chemical composition , 2013, 1304.7658.

[11]  R. Carrera,et al.  The SUMO project: a SUrvey of Multiple pOpulations in globular clusters , 2013, 1303.5187.

[12]  M. Nonino,et al.  ON THE DENSITY PROFILE OF THE GLOBULAR CLUSTER M92 , 2013, 1302.1714.

[13]  J. Anderson,et al.  A WFC3/HST VIEW OF THE THREE STELLAR POPULATIONS IN THE GLOBULAR CLUSTER NGC 6752 , 2013, 1301.7044.

[14]  S. Cassisi,et al.  THE INTRIGUING STELLAR POPULATIONS IN THE GLOBULAR CLUSTERS NGC 6388 AND NGC 6441 , 2013, 1301.2822.

[15]  G. Graves,et al.  STRONTIUM AND BARIUM IN EARLY-TYPE GALAXIES , 2013, 1301.0321.

[16]  M. Mapelli,et al.  Dynamical age differences among coeval star clusters as revealed by blue stragglers , 2012, Nature.

[17]  D. Forbes,et al.  Full spectral fitting of Milky Way and M 31 globular clusters: ages and metallicities , 2012, 1211.1216.

[18]  S. Degl'Innocenti,et al.  Cumulative physical uncertainty in modern stellar models - I. The case of low-mass stars , 2012, 1211.0706.

[19]  S. Cassisi,et al.  THE INFRARED EYE OF THE WIDE-FIELD CAMERA 3 ON THE HUBBLE SPACE TELESCOPE REVEALS MULTIPLE MAIN SEQUENCES OF VERY LOW MASS STARS IN NGC 2808 , 2012, 1206.5529.

[20]  A. Dotter,et al.  MODELS FOR METAL-POOR STARS WITH ENHANCED ABUNDANCES OF C, N, O, Ne, Na, Mg, Si, S, Ca, AND Ti, IN TURN, AT CONSTANT HELIUM AND IRON ABUNDANCES , 2012, 1206.1820.

[21]  Pieter van Dokkum,et al.  THE STELLAR INITIAL MASS FUNCTION IN EARLY-TYPE GALAXIES FROM ABSORPTION LINE SPECTROSCOPY. II. RESULTS , 2012, 1205.6473.

[22]  L. Koopmans,et al.  EVIDENCE FOR A MILD STEEPENING AND BOTTOM-HEAVY INITIAL MASS FUNCTION IN MASSIVE GALAXIES FROM SODIUM AND TITANIUM-OXIDE INDICATORS , 2012, 1204.3823.

[23]  S. Degl'Innocenti,et al.  The Pisa Stellar Evolution Data Base for low-mass stars , 2012, 1202.4864.

[24]  R. Davies,et al.  Systematic variation of the stellar initial mass function in early-type galaxies , 2012, Nature.

[25]  K. L. Hunt,et al.  Infrared absorption by collisional H2-He complexes at temperatures up to 9000 K and frequencies from 0 to 20,000 cm(-1). , 2012, The Journal of chemical physics.

[26]  J. Anderson,et al.  MULTIPLE STELLAR POPULATIONS IN 47 Tucanae , 2011, 1109.0900.

[27]  S. Degl'Innocenti,et al.  The Pisa pre-main sequence tracks and isochrones - A database covering a wide range of Z, Y, mass, and age values , 2011, 1107.2318.

[28]  A. Dotter,et al.  GLOBULAR CLUSTERS IN THE OUTER GALACTIC HALO: NEW HUBBLE SPACE TELESCOPE/ADVANCED CAMERA FOR SURVEYS IMAGING OF SIX GLOBULAR CLUSTERS AND THE GALACTIC GLOBULAR CLUSTER AGE–METALLICITY RELATION , 2011, 1106.4307.

[29]  V. Ripepi,et al.  Distance to Galactic globulars using the near‐infrared magnitudes of RR Lyrae stars – IV. The case of M5 (NGC 5904) , 2011, 1105.4031.

[30]  L. Casagrande,et al.  FIDUCIAL STELLAR POPULATION SEQUENCES FOR THE VJKS PHOTOMETRIC SYSTEM , 2010, 1010.0247.

[31]  M. Nonino,et al.  On the Absolute Age of the Globular Cluster M92 , 2010, 1006.5217.

[32]  Heidelberg,et al.  \Delta Y/ \Delta Z from the analysis of local K dwarfs , 2010, 1005.0245.

[33]  M. Nonino,et al.  On the Stellar Content of the Carina Dwarf Spheroidal Galaxy , 2010, 1004.2559.

[34]  E. Marchetti,et al.  ON A NEW NEAR-INFRARED METHOD TO ESTIMATE THE ABSOLUTE AGES OF STAR CLUSTERS: NGC 3201 AS A FIRST TEST CASE , 2009, 0912.0824.

[35]  G. Gavazzi,et al.  HIGH-MASS STAR FORMATION IN NORMAL LATE-TYPE GALAXIES: OBSERVATIONAL CONSTRAINTS TO THE INITIAL MASS FUNCTION , 2009, 0910.3521.

[36]  Garching,et al.  Intrinsic iron spread and a new metallicity scale for globular clusters , 2009, 0910.0675.

[37]  M. Asplund,et al.  The chemical composition of the Sun , 2009, 0909.0948.

[38]  Ž. Ivezić,et al.  ACCEPTED FOR PUBLICATION IN APJ Preprint typeset using LATEX style emulateapj v. 10/09/06 GALACTIC GLOBULAR AND OPEN CLUSTERS IN THE SLOAN DIGITAL SKY SURVEY. II. TEST OF THEORETICAL STELLAR ISOCHRONES , 2022 .

[39]  A. Dotter,et al.  DEEP 2MASS PHOTOMETRY OF M67 AND CALIBRATION OF THE MAIN-SEQUENCE J − KS COLOR DIFFERENCE AS AN AGE INDICATOR , 2009, 0904.2907.

[40]  M. Nonino,et al.  ON THE RADIAL DISTRIBUTION OF HORIZONTAL BRANCH STARS IN NGC 2808 , 2009, 0903.4531.

[41]  Giampaolo Piotto,et al.  THE ACS SURVEY OF GALACTIC GLOBULAR CLUSTERS. VII. RELATIVE AGES , 2008, 0812.4541.

[42]  D. Saumon,et al.  The Evolution of L and T Dwarfs in Color-Magnitude Diagrams , 2008, 0808.2611.

[43]  M. Marconi,et al.  The FRANEC stellar evolutionary code , 2008 .

[44]  D. York,et al.  Galactic Globular and Open Clusters in the Sloan Digital Sky Survey. I. Crowded-Field Photometry and Cluster Fiducial Sequences in ugriz , 2008, 0808.0001.

[45]  Kjell Eriksson,et al.  A grid of MARCS model atmospheres for late-type stars. I. Methods and general properties , 2008, 0805.0554.

[46]  Giampaolo Piotto,et al.  THE ACS SURVEY OF GLOBULAR CLUSTERS. V. GENERATING A COMPREHENSIVE STAR CATALOG FOR EACH CLUSTER , 2008 .

[47]  S. Majewski,et al.  THE ACS SURVEY OF GLOBULAR CLUSTERS. V. GENERATING A COMPREHENSIVE STAR CATALOG FOR EACH CLUSTER , 2008, 0804.2025.

[48]  Mamoru Doi,et al.  The Milky Way Tomography with SDSS. II. Stellar Metallicity , 2008, 0804.3850.

[49]  Peter B. Stetson,et al.  FIDUCIAL STELLAR POPULATION SEQUENCES FOR THE u′g′r′i′z′ SYSTEM , 2007, 0711.4045.

[50]  P. Stetson,et al.  Secondary Standard Stars for the u′g′r′i′z′ Photometric System , 2007 .

[51]  F. Grundahl,et al.  Strömgren Photometry of Galactic Globular Clusters. I. New Calibrations of the Metallicity Index , 2007, 0707.1019.

[52]  M. Peimbert,et al.  Revised Primordial Helium Abundance Based on New Atomic Data , 2007, astro-ph/0701580.

[53]  S. Majewski,et al.  The ACS Survey of Galactic Globular Clusters. I. Overview and Clusters without Previous Hubble Space Telescope Photometry , 2006, astro-ph/0612598.

[54]  M. Nonino,et al.  A Pulsational Distance to ω Centauri Based on Near-Infrared Period-Luminosity Relations of RR Lyrae Stars , 2006, astro-ph/0608052.

[55]  M. Fukugita,et al.  Primordial Helium Abundance: A Reanalysis of the Izotov-Thuan Spectroscopic Sample , 2006, astro-ph/0603334.

[56]  M. Pinsonneault,et al.  The Solar Heavy-Element Abundances. I. Constraints from Stellar Interiors , 2005, astro-ph/0511779.

[57]  G. Steigman PRIMORDIAL NUCLEOSYNTHESIS: SUCCESSES AND CHALLENGES , 2005, astro-ph/0511534.

[58]  D. VandenBerg,et al.  The Victoria-Regina Stellar Models: Evolutionary Tracks and Isochrones for a Wide Range in Mass and Metallicity that Allow for Empirically Constrained Amounts of Convective Core Overshooting , 2005, astro-ph/0510784.

[59]  L. Lindegren,et al.  Broad-band photometric colors and effective temperature calibrations for late-type giants. I. Z = 0.02 , 2005, astro-ph/0510434.

[60]  A. Cody,et al.  Chemical Composition in the Globular Cluster M71 from Keck HIRES Spectra of Turnoff Stars , 2005, astro-ph/0505139.

[61]  R. Rich,et al.  The metal content of the bulge globular cluster NGC 6528 , 2004, astro-ph/0405475.

[62]  Eugene A. Magnier,et al.  The Elixir System: Data Characterization and Calibration at the Canada‐France‐Hawaii Telescope , 2004 .

[63]  M. Marconi,et al.  A pulsational approach to near-infrared and visual magnitudes of RR Lyr stars , 2003, astro-ph/0306142.

[64]  B. Gibson,et al.  The Cosmic Production of Helium , 2003, Science.

[65]  M. Gustafsson,et al.  The H2-H infrared absorption bands at temperatures from 1000 K to 2500 K , 2003 .

[66]  F. Grundahl,et al.  The ages of the globular clusters M$\,$71 and 47 Tuc from Strömgren $uvby$ photometry - Evidence for high ages , 2002 .

[67]  R. Rich,et al.  Age and Metallicity Distribution of the Galactic Bulge from Extensive Optical and Near-IR Stellar Photometry , 2002, astro-ph/0210660.

[68]  I. Ivans,et al.  A Globular Cluster Metallicity Scale Based on the Abundance of Feii , 2002, astro-ph/0305380.

[69]  A. Borysow,et al.  Collision-induced absorption coefficients of H2 pairs at temperatures from 60 K to 1000 K , 2002 .

[70]  L. Girardi,et al.  Theoretical isochrones in several photometric systems I. Johnson-Cousins-Glass, HST/WFPC2, HST/NICMOS, Washington, and ESO Imaging Survey filter sets , 2002, astro-ph/0205080.

[71]  A. Weiss,et al.  Homogeneous age dating of 55 Galactic globular clusters. Clues to the Galaxy formation mechanisms , 2002 .

[72]  G. Piotto,et al.  On the Observational Properties of He-burning Stars: Some Clues on the Tilt of the Horizontal Branch in Metal-rich Clusters , 2002, astro-ph/0201123.

[73]  M. Gustafsson,et al.  Infrared Absorption Spectra of Collisionally Interacting He and H Atoms , 2001 .

[74]  N. Benı́tez,et al.  The Photometric Performance and Calibration of the Hubble Space Telescope Advanced Camera for Surveys , 2005, astro-ph/0507614.

[75]  A. Borysow,et al.  Semi-empirical Model of Collision-Induced Absorption Spectra of H2–H2 Complexes in the Second Overtone Band of Hydrogen at Temperatures from 50 to 500 K , 2000 .

[76]  M. Geffert,et al.  First results of a photometric and astrometric study of the globular cluster M 71 (NGC 6838) , 2000 .

[77]  D. Alexander,et al.  Models for Old, Metal-poor Stars with Enhanced α-Element Abundances. I. Evolutionary Tracks and ZAHB Loci; Observational Constraints , 2000 .

[78]  M. Pinsonneault,et al.  The Angular Momentum Evolution of Very Low Mass Stars , 2000, astro-ph/0001065.

[79]  M. Catelán,et al.  RR Lyrae Stars in NGC 6388 and NGC 6441: A New Oosterhoff Group? , 1999, The Astrophysical journal.

[80]  S. Cassisi,et al.  The Initial Mass Function of the Galactic Bulge down to ~0.15 M☉ , 1999, astro-ph/9906452.

[81]  Peter B. Stetson,et al.  Ages for Globular Clusters in the Outer Galactic Halo: The Second-Parameter Clusters Palomar 3, Palomar 4, and Eridanus , 1998, astro-ph/9809176.

[82]  D. Schlegel,et al.  Maps of Dust Infrared Emission for Use in Estimation of Reddening and Cosmic Microwave Background Radiation Foregrounds , 1998 .

[83]  B.E.J. PagelL. Portinari Δ Y/Δ Z from fine structure in the main sequence based on Hipparcos parallaxes , 1997, astro-ph/9711332.

[84]  D. Schlegel,et al.  Maps of Dust IR Emission for Use in Estimation of Reddening and CMBR Foregrounds , 1997, astro-ph/9710327.

[85]  A. Borysow,et al.  Roto-Translational Collision-Induced Absorption of CO2for the Atmosphere of Venus at Frequencies from 0 to 250 cm−1, at Temperatures from 200 to 800 K , 1997 .

[86]  William E. Harris,et al.  A Catalog of Parameters for Globular Clusters in the Milky Way , 1996 .

[87]  R. G. Gratton,et al.  Abundances for globular cluster giants: I. homogeneous metallicities for 24 clusters , 1996, astro-ph/9607078.

[88]  M. Fukugita,et al.  The Sloan Digital Sky Survey Photometric System , 1996 .

[89]  William B. Hubbard,et al.  Cool zero-metallicity stellar atmospheres , 1994 .

[90]  Peter B. Stetson,et al.  THE CENTER OF THE CORE-CUSP GLOBULAR CLUSTER M15: CFHT AND HST OBSERVATIONS, ALLFRAME REDUCTIONS , 1994 .

[91]  A. Borysow,et al.  Far infrared CIA spectra of N2-CH4 pairs for modeling of Titan's atmosphere , 1993 .

[92]  Don A. VandenBerg,et al.  Oxygen-enhanced Models for Globular Cluster Stars. II. Isochrones and Luminosity Functions , 1992 .

[93]  H. Richer,et al.  Deep CCD photometry and variable stars in the metal-rich globular cluster M71 , 1992 .

[94]  Geoffrey C. Clayton,et al.  The relationship between IR, optical, and UV extinction. , 1989 .

[95]  A. Borysow,et al.  Collision-induced Rototranslational Absorption Spectra of N 2--N 2 Pairs for Temperatures from 50 to 300 K: Erratum , 1987 .

[96]  P. Stetson DAOPHOT: A COMPUTER PROGRAM FOR CROWDED-FIELD STELLAR PHOTOMETRY , 1987 .

[97]  A. Borysow,et al.  Collision-induced rototranslational absorption spectra of N2-N2 pairs for temperatures from 50 to 300 K. [Of Titan atmosphere] , 1986 .

[98]  A. Borysow,et al.  Theoretical collision-induced rototranslational absorption spectra for the outer planets: H2-CH4 pairs , 1986 .

[99]  A. Borysow,et al.  Theoretical Collision-induced Rototranslational Absorption Spectra for Modeling Titan's Atmosphere: H 2--N 2 Pairs , 1986 .

[100]  J. Frogel,et al.  Infrared colors, CO band strengths, and physical parameters for giants in M71 , 1979 .

[101]  G. Kron,et al.  Six-color photometry of globular clusters: another look at determinations of reddening and metal abundance. , 1976 .

[102]  A. Sandage,et al.  Evidence from the motions of old stars that the Galaxy collapsed. , 1962 .

[103]  A. Marín-Franch,et al.  The ACS survey of Galactic globular clusters , 2012 .

[104]  M. Perryman,et al.  The Three-Dimensional Universe with Gaia , 2005 .

[105]  I. Reid,et al.  Hipparcos Subdwarf Parallaxes: Metal-rich Clusters and the Thick Disk , 1998 .

[106]  Francesco Paresce,et al.  The Lower Main Sequence of ω Centauri from Deep Hubble Space Telescope NICMOS Near-Infrared Observations , 1997 .

[107]  Lothar Frommhold,et al.  Collision-induced infrared spectra of H2-He pairs involving 0-1 vibrational transitions and temperatures from 18 to 7000 K , 1989 .

[108]  A. Renzini,et al.  Tests of evolutionary sequences using color-magnitude diagrams of globular clusters , 1988 .

[109]  Casey Papovich,et al.  Broad-band photometric colors and effective temperature calibrations for late-type giants . II . Z < 0 . 02 , 2022 .