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PreprinttypesetusingLATEXstyleemulateapjv.11/10/09 CALCIUM AND LIGHT-ELEMENTS ABUNDANCE VARIATIONS FROM HIGH RESOLUTION SPECTROSCOPYIN GLOBULAR CLUSTERS 1 Eugenio Carretta2, Angela Bragaglia 2, Raffaele Gratton3, Sara Lucatello3,4, Michele Bellazzini2, Valentina D’Orazi3 ABSTRACT We use abundances of Ca, O, Na, Al from high resolution UVES spectra of 200 red giants in 17 0 globular clusters (GCs) to investigate the correlation found by Lee et al. (2009) between chemical 1 enrichment from SN II and star-to-star variations in light elements in GC stars. We find that (i) the 0 [Ca/H] variations between first and second generationstars are tiny in most GCs (∼0.02−0.03 dex, 2 comparable with typical observational errors). In addition, (ii) using a large sample of red giants n in M 4 with abundances from UVES spectra from Marino et al. (2008), we find that Ca and Fe a abundances in the two populations of Na-poor and Na-rich stars are identical. These facts suggest J that the separation seen in color-magnitude diagrams using the U band or hk index (as observed 9 in NGC 1851 by Han et al. 2009) are not due to Ca variations. Small differences in [Ca/H] as 2 associated to hk variations might be due to a small systematic effect in abundance analysis, because most O-poor/Na-rich (He-rich) stars have slightly larger [Fe/H] (by 0.027 dex on average, due to ] decreased H in the ratio) than first generation stars and are then located at redder positions in the A V,hk plane. While a few GCs (M 54, ω Cen, M 22,maybe even NGC 1851)do actually show various G degree of metallicity spread, our findings eliminate the need of a close link between the enrichment . by core-collapse SNe with the mechanism responsible for the Na-O anticorrelation. h p Subject headings: stars: abundances — stars: evolution — globular clusters: general - o r 1. INTRODUCTION The primordial P component of first generation stars, t s Starsofdifferentstellargenerations5arecurrentlyrou- present in almost all Galactic GCs surveyed so far, a has the high [O/Fe] and low [Na/Fe] ratios typical tinely found in all Galactic globular clusters (GCs). A [ of core-collapse supernovae (SNe II) nucleosynthesis, common misunderstanding is to identify multiple se- characteristic of halo field stars with similar metal- 1 quences in the color-magnitude diagrams (CMDs) as licity. On the other hand, Carretta et al. (2009a) v the only evidence of multiple stellar populations in GCs, 2 while they are only the tip of the iceberg, observable showed that two other components of second gener- 0 whendifferencesinchemicalcompositionand/orageare ation stars may be found: one dominant component 0 very large. However, all GCs display large spreads in has intermediate composition (I; observed in each GC), 0 abundancesoflightelements. Thesearedue tothe pres- and another has extremely (E) modified composition, . showing large O-depletion and Na (and Al) enhance- 2 ence of two generations of stars, separated by a small 0 difference in age, not enough to appear as a smearing ments, present only in the most massive clusters6. 0 of the cluster turn-off, but clearly visible as a different This general pattern can be qualitatively produced by 1 chemical signature. This difference can be uncovered by proton-capture reactions in H-burning at high temper- : spectroscopy (see Gratton et al. 2004 for a recent re- ature (Denisenkov & Denisenkova 1989; Langer et al. v view). Since its discovery by the Lick-Texas group (see 1993). The fact that the same Na-O and Mg-Al Xi the early review by Kraft 1994), the Na-O anticorrela- anticorrelations are found in unevolved stars in sev- tion in GCs offers a powerful instrument to resolve age eralGCs(Gratton et al. 2001;Ramirez & Cohen 2002; r a differences as small as a few 107 yrs (should very mas- Carretta et al. 2004)tellsusthatthiscompositionisin- sive stars be involved)by means of a signal as large as 1 herited from the ashes of a previous generation of stars. full dex in abundance. Whenever the Na-O anticorrela- While the involved processes have been largely iden- tion is observed in a GC, multiple stellar generations are tified, it is still not clear where these reactions oc- present in the cluster. curred, the favorite sites being either main-sequence core H-burning of fast rotating massive stars (FRMS, 1Based on data collected at the European Southern Observa- Decressin et al. 2007) or the hot bottom of the con- tory, Chile, programmes 072.D-507,073.D-0211,072.D-0742,077.D- vective envelope in intermediate-mass asymptotic giant 0182 branch (AGB) stars (Ventura et al. 2001). Whichever 2INAF, Osservatorio Astronomico di Bologna, via Ranzani the sites are, they can not synthesize iron or other el- 1, 40127, Bologna, Italy. [email protected], an- [email protected],[email protected] ements heavier than Al. Indeed, apart from a few no- 3INAF, Osservatorio Astronomico di Padova, vi- table exceptions (ω Cen, see reference in Gratton et al. colo dell’Osservatorio 5, 35122 Padova, Italy. raf- 2004; M 22, Marino et al. 2009; Da Costa et al. 2009; [email protected],[email protected], M 54, Carretta et al. 2010a; Terzan 5, Ferraro et al. [email protected] 4Excellence Cluster Universe, Technische Universit¨at Mu¨nchen,Boltzmannstr. 2,D-85748,Garching,Germany 6 The operational distinction between I and E components 5 We will use the words stellar “generation” and “population” (Carrettaetal. 2009a) is not relevant here and we only consider interchangeably, forthereasonsexplainedlater. thetotal fraction(I+E)ofsecondgenerationstars. 2 Carretta et al. 2009; and possibly NGC 1851, Yong & Grundahl 2008) 3. RESULTS the level in [Fe/H] or α and Fe-group elements is very Sincewe haveonlyabout10starspercluster observed constant in GCs (Carretta et al. 2009b). with UVES, we combined the 17 GCs, separating first However,arecentworkbyLee et al. (2009,fromnow generation(P)starsfromsecondgeneration(I+E)stars. L09) seems to challenge this consolidated scenario, be- For direct comparisonwith L09, we used [Ca/H]instead causeintheirCa-uvby surveythey foundaspreadinthe of[Ca/Fe],afternormalizingthe individualvaluestothe photometric hk index (including Ca ii H and K lines) meanofeachcluster. InFigure1weshowthehistogram for several GCs. They interpret this spread as due to in [Ca/H] for P and I+E stars, with average values, er- Ca abundance variations and claimthat this α−element rors, and rms. About two thirds of stars belong to the was produced by SN II in a past phase of the lifetime second generation, and the average normalized [Ca/H] of GCs. In turn, these should be assumed to be initially values do not differ from those of first generation (at muchmoremassivethanatpresent,elsethehighlyener- about 1σ). A further check comes from the cumula- getic SNe winds wouldhavebeen lostfromthe potential tivedistributions,showninFigure2(upper panel),from well. Moreover, they find that the Ca-strong group in which we excluded the 12 stars of NGC 2808, the GC GCs with evidence of multiple stellar populations from in our sample showing the most extreme variations in spectroscopyisassociatedtothepopulationofstarswith He (Piotto et al. 2007; Bragaglia et al. 2010, and be- lowerOand higherNa values, andvice versaconcerning low in this Letter). The two distributions cannot be the Ca-weak stars. distinguished. Note that if we include also NGC 2808, The need ofmassiveproto-clustersis commonto most the probability of the Kolmogorov-Smirnov drops to scenariosofchemicalevolutionofGCs,includingonepro- 0.07, still compatible with no significant difference, but posed by us (Carretta et al. 2010b). However a corre- possibly indicating some actual variations in this par- lation between Ca and light elements would imply that ticular cluster. However, when we show in the three the second generation stars were formed from material lowerpanels of Figure 2 the cumulative distributions for enriched not only by FRMS or AGB stars, but also by [O/Fe],[Na/Fe],and[Al/Fe],allelementsinvolvedinthe SN II events, which is a substantial modification of the (anti)correlationsinGCs,weclearlyseeastrikingdiffer- current scenario. ence (compare e.g. to supplementary Fig.14 of L09). InthepresentLetterweexploitthelargewealthofdata Our sample of 200 stars comes from 17 different GCs, fromourongoingproject“Na-OanticorrelationandHB” but there is already available in literature a sample of (Carretta et al. 2006)andfromotherextensivespectro- similarsizeforasingleGC,M4,forwhichMarino et al. scopic surveys to compare [Ca/H] ratios obtained from (2008) analyzed high resolution UVES spectra of 105 high resolution spectroscopy with the abundance distri- RGB stars. This cluster is also in the L09 sample; from bution of O, Na, Al in a sample of several hundred red their supplementary Fig.14 (panel i) we see that almost giantbranch(RGB)starsin17GCs. Thisallowstoshed all stars defined Ca-strong are Na-rich (in our interpre- light on the rˆole of Ca in the chemical evolution of GCs; tation,secondgenerationI,E)andviceversafortheCa- from our extensive spectroscopic database, we seek to weak. However, when we divide the stars in the Marino confirmwhether the spreadin the photometric hk index et al. sample in P and I+E (using their same separation is driven by a real spread in Ca abundance. at [Na/Fe]=0.2) and compare the histograms and the means of the two populations (see Figure 3, left panel), 2. ATMOSPHERICPARAMETERSANDABUNDANCE ANALYSIS they look very similar7. This is supported by the cu- mulative distributions (Figure 3, right panel): they are The full description of the analysis is given in indistinguishable, according to the KS test. A further Carretta et al. (2009b); here we present only the abun- checkwasdoneconsideringonlystarsinthetwoextreme dances of Ca, which are based on a large number of quartiles in Na abundance: the averageCa values in the lines(typically10-12inthemostmetal-poorclusterslike more Na-poor and in the more Na-rich stars perfectly M15andalmost20inmetal-richGCs like47Tuc). The agreewith the ones in Figure 3 for the I+E and P stars, [Ca/Fe] ratios with the number of lines and the line-to- respectively. line r.m.s. scatter for each star are listed in Table 1 The stars called Ca-weak (Ca-strong) on the basis of (completely availableonline only). InTable 2we report theirhk indexdonotseemtohavelower (higher) [Ca/H] the number of stars in each cluster, the average [Ca/Fe] valuesfrom direct analysis ofhigh resolution spectra; this and [Ca/H] values and the 1 σ scatter of the mean. The demonstrates that thedifferences in the hk index mustbe rms scatters in [Ca/Fe] are smaller than in [Ca/H] be- produced by something other than Ca variations. cause the sensitivity of Ca and Fe lines to atmospheric It is important to stress that the observational effect parameters is quite similar. Five of the clusters listed in at the basis of the L09 claim corresponds to 1σ spreads Table 1 are included in the sample by L09, who claim in [Ca/H] of about 0.03 dex in the most extreme cases significant spread in Ca for four of them. (NGC 1851,NGC 2808, excluding the special cases of ω The values listed in Table 2 indicate that the mean Cenand M22 where the presence ofa significantspread level of Ca is highly homogeneous in each GCs. The inironhas alreadybeenestablishedwithhighresolution averager.m.s. star-to-starscatterfor[Ca/Fe]is0.03dex spectroscopy)andofabout0.02dexfortypicalcases(like from 17 GCs, to be compared with average scatter of M 4, M 5, and NGC 6752, see Table 2)8. In our view, 0.18 dex, 0.22 dex, 0.07 dex and 0.25 dex for O, Na, these numbers call for two basic considerations: Mg, and Al respectively. Note that the mean scatter in Mg, produced by core collapse SNe but also involved in 7 As noticed by the referee, the same result holds using the 38 proton-capture reactions, is more than twice that of Ca, starsinNGC6752analyzedbyYongetal. (2005). which does not participate in any H-burning. 8 We used their supplementary Table 3 for the FWHM of the Ca and light elements abundances 3 1. Such tiny spreads are similar in amplitude to sev- in He and light elements only, with no fresh production eral uncertainties that are known to affect the of Fe and Ca. The sizable effect on the Kolmogorov- abundance analysis (like e,g, variations in the He Smirnovtestofthe inclusionofNGC 2808inthe sample content); they areusuallyneglectedsincethe over- (Sect. 3) lends further support to this scenario, as this alluncertaintyonsinglemeasuresistypicallylarger cluster seems to display especially large variations in He than this. We do not exclude that there might be abundance (Piotto et al. 2007; Bragagliaet al. 2010). dispersions at these very low levels, but presently Hence, while it is quite possible that in NGC 1851 theycannotbeseparatedfromtheintrinsicerrors. some small intrinsic scatter in iron does actually exist (Yong & Grundahl 2008),ourresultsdonotsupportthe 2. evenifweregardtheseverysmallvariationsasreal, ideathatcorecollapseSNecontributedtotheenrichment somebasicalgebraindicatesthat,assumingamass ofsecondgenerationstarsinmostGCs,andindicatethat of2×105 M⊙ andametallicityofZ =10−3forthe the production of the proton-capture elements occurred gascloudthatgaveorigintothecluster,asingleSN in sites not able to synthesize Ca and Fe-peak elements. IIeventwouldbesufficienttoproducetherequired amount of Ca (and Fe). 5. DISCUSSIONANDCONCLUSIONS 4. THECASEFORNGC1851 Lee and coworkers devised a scenario for chemical en- richment in clusters with multiple populations. It in- If the tiny variations detected in most GCs are not cludes two-phases. First, core collapse SNe from first measuring intrinsic scatter in Ca, what might be the generation stars inject in the intra-cluster medium ma- cause for the variations in the hk index? L09 discussed terial enriched with Fe and α−elements; at least part of severalissues to show that the only way to affect the hk this materialisnotlostby the GCs owingto their larger index isachangeinCa. Specifically, they madeastrong mass at early epochs. Second generation stars form case for NGC 1851, where the few “Ca-strong” stars from this enriched material, incorporating the ejecta of (with abundances from high resolution spectroscopy by intermediate-mass AGB stars with longer evolutionary Yong & Grundahl (2008) are segregated to the red- times. The second generation stars are then produced dest positions in the V,hk CMD. In a recent paper, from matter enriched both in heavy and light elements. Han et al. (2009) presented a split of the RGB in this However,in our opinion, this scenario has to face sev- cluster in the U,U −I plane, where the redder sequence eral problems: is populated by Ca-strong stars. We simply note the striking similarity between the • Since there is clear evidence of multiple popula- CMD by Han et al. with the U,U −B CMD for M 4 tions from spectroscopy in all GCs, except per- by Marino et al. (2008). In both cases, the RGB is haps a few small ones with only a handful of clearly split into two distinct sequences. However, the stars analyzed (e.g. Pal 12, Cohen 2004; Ter 7, same dichotomy of RGB sequences in M 4 is explained Sbordone et al. 2007;bothbelongingtotheSagit- by Marino et al. (2008) asthe Nenhancementaffecting tarius dwarf galaxy), any proposed scenario must the U − B colors (through the CN and NH molecular accountforthe formationofthe generalityofGCs. bands within the U filter), so that Na-rich (and likely N rich) stars are separated from Na-Poor (and N-poor) • WhileasinglecorecollapseSNmightbeenoughto stars in the CMDs. Since we demonstrated in Figure 3 produce the claimed scatter in [Ca/H], thousands that in M 4 the [Ca/H]ratio is identical for the Na-poor (or even more) FRMS or massive AGB stars are andNa-richstars,thesameconclusionmightbevalidfor required to produce the observed pattern for ele- NGC 1851. ments involved in proton-capture processes. The A further piece of the puzzle comes from impact of these two mechanisms can not be the Carretta et al. (2009a), who confirmed results by same. Yong et al. (2008) in NGC 6752: Na-poor stars define a narrow N-poor sequence all confined to the bluest • Core collapse SNe should produce a (variable) part of the RGB in NGC 6752, whereas the Na-rich enhancement in the mean abundances for other (N-enhanced) stars are spread out to the red part of the α−elements. No significant variation has been ob- RGB, reaching large N abundances. Now, regardless served for Mg and Si (apart from those explained of the nature of the polluters, the ejected matter is by the Mg-Al cycle; see Fig. 3 in Carretta et al. always enriched in the main outcome of H-burning, 2009b), or Ti (Gratton et al. 2004). He. Bragaglia et al. (2010, in preparation) used a large sample (about 1400 RGB stars in 19 GCs) to show that • InGCslikeM4,asplitinhkof45σ (hk)(measure- p stars with higher He content should have on average ment errors for the populations, L09, supplemen- slightly larger [Fe/H] values the difference between the tary Fig. 10) between two populations translates E and P stars being 0.027 dex in [Fe/H], even if there is in virtually no difference in the [Ca/H] ratios ob- no difference in the overallmetal content Z. tained from a homogeneous large sample of stars These findings suggest that the correlation observed with high resolution spectra. by L09 between the (small) dispersion in [Ca/H] and the (large) spread in hk may be related to variations • If FRMS are the polluters, the whole model would fail, since these stars release the polluted matter RGBoftheGCwehaveincommon,convertedthembacktoscatter in very short time, while still in MS. Hence, the inhk assuminga Gaussian distribution, and further converted to timescale is even shorter than that for production scatter in [Ca/H] and [Fe/H] using the sensitivity of Ca on the variationinhk (suppl. Sect. 4)andtherelationsinSect. 3. of core collapse SNe. 4 Carretta et al. • The model by L09, adapted to explain the dou- systematic second-order effects due to the fact that sec- ble RGB seen in NGC 1851, results in a number ond generation stars are He-enhanced, and appear more ratio of first-to second generation stars equal to metal-richandhotterwhenanalyzedwithhighresolution 3 (75%/25%). From spectroscopy, on the other spectroscopy. hand,itwasfoundthatthebulkofstarsinGCsbe- At the moment, we cannot offer a viable alternative long to the second generation (Cohen et al. 2002; explanation for the dispersion in the hk index observed Carretta et al. 2009b), with a number ratio typi- by Lee and collaborators, although this issue certainly cally of about 0.5 (0.33/0.66). We stress that this requires further studies. feature is not a prerogative of mono-metallic GCs, the same value for the primordial fraction is also Partial funding come from PRIN MIUR 2007, PRIN found in ω Cen and M 54 (Carretta et al. 2010a), INAF 2007, and the DFG cluster of excellence ”Origin the two most massive clusters in the Galaxy, both and Structure of the Universe”. showing actual (large) dispersion in [Fe/H]: this finding demonstrates that the relative fractions of REFERENCES first and secondgenerationstars arenot relatedto the enrichment of heavy elements. Bragaglia,A.,etal.2010,inpreparation Carretta,E.,GrattonR.G.,Bragaglia,A.,Bonifacio,P.& • Ther−processelementeuropium,whosemainpro- Pasquini,L.2004, A&A,416,925 duction site is expected to be core-collapse SNe, is Carretta,E.,Bragaglia,A.,GrattonR.G.,Leone,F., fairlyconstantwithin allthe studiedglobularclus- Recio-Blanco,A.,Lucatello,S.2006, A&A,450,523 Carrettaetal.2009a, A&A,505,117 ters (Gratton et al. 2004). 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[Ca/Fe] σ [Ca/H] flagPIE NGG0104 5270 15 0.299 0.150 −0.473 2 NGG0104 12272 14 0.310 0.107 −0.437 2 NGG0104 13795 11 0.345 0.105 −0.487 1 NGG0104 14583 14 0.309 0.110 −0.375 2 NGG0104 17657 11 0.298 0.127 −0.546 3 NGG0104 18623 19 0.322 0.213 −0.451 2 a nristhenumberofCalinesineachstar. bflagis1,2,and3fortheprimordialP,intermediateIandextremeEcomponent,respectively;flag0meansthateitherNaorOwasmissing andthestarcouldbenoassignedtoacomponent. 6 Carretta et al. Table 2 Mean[Ca/Fe],[Ca/H]ratiosandinternalerrors. GCID nr [Ca/Fe] σ err1 err2 [Ca/H] σ NGC0104 11 +0.31 0.01 0.03 0.03 −0.45 0.06 NGC0288 10 +0.41 0.02 0.02 0.03 −0.90 0.05 NGC1904 10 +0.28 0.01 0.02 0.02 −1.30 0.04 NGC2808 12 +0.34 0.02 0.03 0.03 −0.81 0.07 NGC3201 13 +0.30 0.03 0.02 0.02 −1.21 0.07 NGC4590 13 +0.26 0.03 0.03 0.03 −2.00 0.04 NGC5904 14 +0.38 0.02 0.02 0.03 −0.96 0.05 NGC6121 14 +0.42 0.03 0.02 0.03 −0.75 0.07 NGC6171 5 +0.41 0.02 0.03 0.03 −0.63 0.08 NGC6218 11 +0.42 0.03 0.03 0.03 −0.91 0.04 NGC6254 14 +0.34 0.04 0.02 0.02 −1.23 0.07 NGC6397 13 +0.28 0.03 0.03 0.03 −1.71 0.05 NGC6752 14 +0.40 0.03 0.03 0.03 −1.16 0.04 NGC6809 14 +0.36 0.04 0.02 0.02 −1.58 0.07 NGC6838 12 +0.31 0.06 0.03 0.03 −0.53 0.07 NGC7078 13 +0.25 0.05 0.03 0.03 −2.07 0.10 NGC7099 10 +0.31 0.04 0.03 0.03 −2.03 0.05 a nristhenumberofstarsineachcluster. b err1for[Ca/Fe]accountforinternalerrorsinTeff,vt andEW,whereaserr2includesallsourcesofuncertainties(seeCarrettaetal. 2009b). Ca and light elements abundances 7 Figure 1. Distributionof[Ca/H]ratiosfromhighresolutionUVESspectrafor202RGBstarsin17globularclusters. Thecross-hatched red area is the histogram for stars of the primordial P component, while the blue hatched area indicates stars of the second generation (I+Estellarcomponent, seetext.) 8 Carretta et al. Figure 2. Cumulative distributions for stars of the P component (solid red lines) and for second generation stars (I+E components, dottedbluelines). Fromtoptobottomthedistributionofabundancesof[Ca/H],[O/Fe],[Na/Fe]and[Al/Fe]areplotted. Inthetoppanel NGC2808isexcluded(seetext); ifincludedtheKSprobabilitywouldbecome0.07. Ca and light elements abundances 9 Figure 3. Distributionof[Ca/H]ratiosinM4(fromUVESspectrabyMarinoetal. 2008;leftpanel),andcumulativedistributionsfor starsmoreNa-rich(blue)andmoreNa-poor(red)than[Na/Fe]=+0.2dex,thatweidentifywiththeI+EandPcomponents, respectively.

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