arXiv:1511.01012v2 [astro-ph.SR] 4 Nov 2015 oa wn n ofimdteeitneo oiietedin trend positive a [X of between existence correlation the confirmed and twins solar existenc the iro [X revealing spectra, between to solar-twin correlation addition 21 a in of sample elements a 13 in of abundances high-precision o 5 ftesas Both stars. the of 85% for o cu o h oto h oa wn.Te ugse that suggested They twins. solar the of [X positive most tha the the formation for planet rocky occur of not signature the be could pattern al. et Ramírez infiatse owr nsuyteceia atrso so of a patterns is chemical and the twins study stud- twins. solar in important in forward other step determinations of significant abundance sequence a on of based wake ies the in written was oiincreaewt h odnaintmeaue ( c temperatures solar condensation the the to with relative correlate twins position solar 11 of abundances chemical tal. et lmnswt epc oms fteslrtiste analyse they twins solar the refract of in most depleted to is respect Sun with the that elements found also They elements. rdcdb crto notesa fterfatr materi refractory the of star the onto accretion by produced h anmtvto fti td a enarcn ae pub- paper recent a been has by study lished this of motivation main The Introduction 1. a ,2019 8, May Astronomy eédze al. et Meléndez ( iest mn hs [X these among diversity vlto a a may evolution thsbe ugse htteoii fti eaini rela is might relation stars, this around of planets of origin presence the the with that associated suggested been has It e vlto e evolution Conclusions. Results. Methods. [X between relation Aims. di the between correlation the by Context. eevdSpebr2,21;acpe coe 9 2015 19, October accepted 2015; 22, September Received lmns(,O a g l i ,K a c i ,C,M,F,Co Fe, Mn, Cr, V, Ti, Sc, Galac the Ca, of K, evolution chemical S, the Si, on Al, constraints new Mg, place Na, O, (C, elements [X e words. variety Key the and far so observed systems exo-planetary among aay evolution Galaxy: 2 1 2009 ff lntsgaue n feto h hmcleouino th of evolution chemical the of effect and signatures Planet eateto srnm,Uiest fTxsa utn 251 Austin; at Texas of University Astronomy, of Department Astronomia de Departamento IAG, [email protected] Paulo, São de Universidade c htteceia vlto fteGlci ikhso th on has disk Galactic the of evolution chemical the that ect / H]- Nissen pcltdta hspclaiyo h oa chemical solar the of peculiarity this that speculated ) eaayeHRSsetao 4slrtisadteSnt provi to Sun the and twins solar 14 of spectra HIRES analyse We T & c ecnr htte[X the that confirm We tde ae nhg-rcso bnac determinations abundance high-precision on based Studies lpsosre ofar. so observed slopes ( u pcrsoi nlsspoue tla aaees( parameters stellar produced analysis spectroscopic Our / Astrophysics ff 2009 H]- c,w n htteueovd[X unevolved the that find we ect, ( h ierneo nvle [X unevolved of range wide The 2015 tr:audne tr:fnaetlprmtr Stars: – parameters fundamental Stars: – abundances Stars: T ff c loaaye h hmclcneto 22 of content chemical the analysed also ) c h [X the ect ( 2009 lpsosre nteesashv been have stars these in observed slopes / / ]adthe and H] hratr 1) h eemndthe determined who N15), (hereafter, ) ]and H] / e n hi tla gs hswork This ages. stellar their and Fe] eédze al. et Meléndez rtsoe httedi the that showed first ) / aucitn.27429_ap no. manuscript H]- / H]- T c T . c T T / e aiso l h pce orlt ihae h lpso slopes The age. with correlate species the all of ratios Fe] c lps oeigarneof range a covering slopes, c oez Spina Lorenzo ff slopes. hratr [X (hereafter, rnilaudne eaiet h u n h condensatio the and Sun the to relative abundances erential aatcti-ikstars thin-disk Galactic ( 2009 / H]- / H]- and ) / H]- T 1 T c og Meléndez Jorge , c lp aussanda l gsb u apecudrflc th reflect could sample our by ages all at spanned values slope T T ff lp ausd o eedo h tla gsayoe Howev anymore. ages stellar the on depend not do values slope Ramírez c c erential fthe of ) slope) lob involved. be also did t ABSTRACT e oteceia vlto fteGlci ik u other but disk, Galactic the of evolution chemical the to ted om- of e i ikadt eiywehrti rcs ln a explain can alone process this whether verify to and disk tic ory the fftsta h atri icmtla ik a experien can disks circumstellar in matter the that fates of ± lar d. al 10 4 n hmclpten fteslrtis fe utatn th subtracting After twins. solar the of patterns chemical e pewy tpC40 utn X77210,USA 78712-1205, TX Austin, C1400, Stop Speedway, 5 u oMto12,SoPuo 50-0 P rsl-e-mail: - Brasil SP, 05509-900 Paulo, São 1226, Mãtao do Rua , − olgatpaes hl tr ihhtgatpaeso low or planets giant hot with stars while planets, star giant for cool found been have slopes negative systems: planetary epc oteSnadodrsas nteohrhn,additio hand, other the On stars. older by insights and Sun the elements to refractory in respect overabundant more are disk e Galactic evolution chemical Galactic re h xsec fte[X the of existence the firmed al. et ( [X the and of a stars, ness the not around are planets twins rocky solar of of presence patterns the abundance the that T Similarly, slopes. omto intr.I gemn ihti view, this with agreement In signature. formation rsn ntecruselrdssta sohrieemploy otherwise is that planets. disks form circumstellar the in present [X e great made i fteosre [X observed the of gin nss uha h hmcleouino h aatcthin- Galactic the of evolution population? chemical the di as completely to such related anisms, instead it is or stars, around T 5 2010 eeldta hmclpten fslrtisaecharacte are twins solar of patterns chemical that revealed f f e c i u n r ,adB) eue hs eemntosto determinations these used We Ba). and Y, Sr, Zn, Cu, Ni, , e K dex / lp tens ol lob eae oteacietr of architecture the to related be also could steepness slope H]- hs tiigrslsoee ii eaerltdt h o the to related debate vivid a opened results striking These o ,[Fe g, log , enwisgt ntemcaim htcndtriethe determine can that mechanisms the on insights new de 1 on htsaswt lnt aemr eaie[X negative more have planets with stars that found ) n vnRamírez Ivan and , ( T 2014 − oa-ye–(tr: lntr ytm aay disk Galaxy: – systems planetary (Stars:) – solar-type c 1 lp once otefraino lntr systems planetary of formation the to connected slope niae htpoessi diint h chemical the to addition in processes that indicates , aíe tal. et Ramírez lal eeldacreainbtentesteep- the between correlation a revealed clearly ) ozlzHrádze al. et Hernández González ff / / ] and H], rst nwrt h olwn usin sthe is question: following the to answer to orts H]- adnd tal. et Maldonado T c hs eain lo st eciethe describe to us allow relations these f lpsadselrae hti eutof result a is that ages stellar and slopes ξ / H]- ,ae,mse,adaudne f22 of abundances and masses, ages, ), eprtrs( temperatures n ( 2010 T 2 c lps npriua,svrlteams several particular, In slopes. / ff H]- and ) cs h onetsasi the in stars youngest The ects. T ( 2015 c eédze al. et Meléndez lp sapsil planet possible a as slope ril ubr ae1of 1 page number, Article T on htte[X the that found ) c ( fteelements. the of ) 2010 iediversity wide e ce. h di the r h wide the er, , chemical e processes, 2013 ozlze al. et Gonzalez
ff c rn mech- erent ( ff S 2019 ESO Adibekyan 2012 ff erent rised claimed ) e ce by ected / with s -mass H]- con- ) dto ed with / disk H]- the nal T ri- 15 c A&A proofs: manuscript no. 27429_ap planets exhibit positive slopes. However, Maldonado and collab- Table 1. Planet properties orators also cautioned that the Galactic chemical evolution could affect the [X/H]-Tc slopes as well. Planet Mass Axis Period e Reference Observations of wide binary systems, whose components are [MJ ] [AU] [yr] two solar analogues, provided further indications that planet for- HD 13931 b 1.88 5.2 11.6 0.02 Howard et al. (2010) HD 95128 b 2.53 2.1 3.0 0.032 Butler & Marcy (1996) mation can play a role in setting the [X/H]-Tc slope. The compo- nents of a stellar system are most likely formedfrom the collapse HD 95128 c 0.54 3.6 6.6 0.098 Fischer et al. (2002) HD 95128 d 1.64 11.6 38.4 0.16 Gregory & Fischer (2010) of the same gaseousclump,thus theyshould share the same com- HD 106252 b 7.56 2.6 4.2 0.48 Wittenmyer et al. (2009) position. High-resolution spectra of the 16 Cyg binary system, composed of a planet-hosting star and a star without detected planets, revealed that the star with the planet is poorer in iron by 0.04 dex (Ramírez et al. 2011). Recently, Tucci Maia et al. In the context of this lively debate, N15 determined the (2014∼ ) have shown that this difference in not limited to iron, but [X/H]-Tc slopes for the solar twins of his sample that have ages involves all the refractory elements. Similar results have been spanning 8 Gyr. From these data he was able to reproduce the found for the two components of XO-2 (Teske et al. 2015; Bi- ∼ correlation between [X/H]-Tc slope values and stellar ages ob- azzo et al. 2015; Ramírez et al. 2015). We note, however, that served by Adibekyan et al. (2014), confirming that the Galactic no differences have been found within the error bars for the stars chemical evolution plays a role in setting the [X/H]-Tc slopes. of the binary systems HAT-P-1 (Liu et al. 2014) and HD 80606 On the other hand, he was unable to exclude that other processes, (Saffe et al. 2015). related to the fate of the rocky material orbiting the star during An alternative mechanism that could generate a positive the different phases of its evolution, might also affect the [X/H]- [X/H]-T slope is represented by a planet engulfment event. c Tc slopes. The migration of giant planets can induce other rocky objects The main aim of the present paper is to produce new in- to move onto unstable orbits and be accreted onto the central sights on the origin of the [X/H]-Tc slopes and verify whether star (Sandquist et al. 2002; Ida & Lin 2008; Zhou & Lin 2008). the [X/Fe]-age correlations identified by N15 can exhaustively After penetrating the stellar atmosphere, the rocky mass would explain the diversity of [X/H]-Tc slope values observed so far be rapidly dissolved and pollute the ambient matter with refrac- in solar twins. To do this, we derived high-precision abundances tory elements. Strong hints have been provided by Schuler et al. of 21 elements for a new sample of 14 solar twins to investi- (2011), who showed that stars with close-in giant planets have gate the [X/Fe]-age correlations and to deconvolve the age effect positive [X/H]-Tc slopes. Recently, Spina et al. (2014) found a from the [X/H]-Tc slopes. In Sect. 2 we describe the stellar sam- member of the Gamma Velorum cluster that is significantly en- ple, the spectroscopic observations, and the spectral reduction, riched in iron relative to the other members of the same cluster, while Sect. 3 details the spectral analysis procedure. In Sect. 4 which, as for binary stars, are also assumed to share the same we show our data and discuss our scientific results and, finally, initial compositions. A detailed chemical analysis revealed that concluding remarks are presented in Sect. 5. the highly refractory elements (those with a Tc>1100 K) are also enhanced by 0.20 dex (Spina et al. 2015), which is most likely ∼ the result of the stellar engulfment of 30 M of rocky planetary 2. Spectroscopic observations and data reduction material or planetesimals. ∼ ⊕ Similar hints of pollution caused by ingestion of heavy el- The selection of the 14 solar twins was based on their optical- ements come from observations of some white dwarfs that are infrared colours relative to the predicted colours of the Sun by thought to be accreting material from their planetesimals belts Ramírez & Meléndez (2005). In addition, chromospheric activ- (e.g., Gänsicke et al. 2012). ity, stellar rotation velocities, Hipparcos parallaxes, and previ- In addition to observations, numerical estimates (Chambers ous spectroscopic parameters were used. The selected sample 2010; Mack et al. 2014; Yana Galarza et al. 2015) demonstrated contains three planet-hosting stars (HD 13931, HD 95128, and that the stellar ingestion of protoplanetary material or planets HD 106252), whose planetary parameters are listed in Table 1. could reproduce the positive [X/H]-Tc slopes observed in solar One star, HD 45184, is in common with the sample of N15. twins. Based on the Siess et al. (2000) evolutionary models of The 14 solar twins were observed using HIRES at the Keck pre-main-sequence stars, Spina et al. (2015) moreover showed I telescope during the night of January 19-20, 2006. The HIRES that the infall of an extremely large quantity of rocky mate- spectrograph was employed with the highest resolving power rial equal to that contained in the entire solar system could not setup (R 105), which covers 0.4 0.8 µm on the blue, green, produce an iron enhancement greater than 0.01 dex if the ac- and red∼ chips. Each star has∼ been− observed for 1 2 minutes. cretion episodes occur when the solar-type star is younger than The final signal-to-noise ratios (S/N) are within 160− and 430 at 10 Myr. However, alternative evolutionary models predict that 670 nm, with a median of 230. In addition to the stellar observa- ∼severe bursty accretion episodes from the circumstellar disk can tions, a short exposition of Vesta was performed during the night have the effect of reducing this timescale to a few Myr (Baraffe to acquire a solar spectrum with a S/N of 430. The quality of this & Chabrier 2010). data set is lower than that of the N15 spectra, but we benefitfrom Other possible processes have been proposed to explain the a wider spectral range that allows us to detect more absorption different steepnesses of [X/H]-Tc slopes observed among the so- features. lar twins. The [X/H]-Tc slope could be also affected by a quick We reduced the spectra with the MAKEE HIRES reduction photoevaporation of the circumstellar disks that is more likely to software v5.4.21. Then we executed the Doppler correction and occur for stars born in more dense stellar environments or too the continuum normalisation using the IRAF tasks dopcor and close to high-mass stars (Önehag et al. 2014). Moreover, as sug- continuum, respectively. gested by Gaidos (2015), dust-gas segregation in protoplanetary disks can also influence the abundance of refractory elements 1 Different versions of the MAKEE software are available online at relative to the volatiles in the stellar atmospheres. http://www.astro.caltech.edu/~tb/makee/.
Article number, page 2 of 15 L. Spina et al.: Planet signatures and effect of the chemical evolution of the Galactic thin-disk stars
3. Spectral analysis Fe I abundancerelative to the i-line. Then we iteratively searched for the three equilibria (excitation, ionisation, and the trend be- Our method is based on the line-by-line differential excita- tween ∆Fe and log (EW/λ)). The iterations were executed with tion/ionisation balance analysis relative to the solar spectrum a series of steps starting from a set of initial parameters (i.e., the (e.g., Meléndez et al. 2012, 2014; Bedell et al. 2014; Ramírez nominal solar parameters) and arriving at the final set of param- et al. 2014b). This approach allowed us to achieve stellar param- eters that simultaneously fulfil the equilibria. We considered the eters (Te f f , log g, and ξ) and high-precision abundances of 21 equilibria to be reached when a) the slope in ∆FeI with excita- elements (C, O, Na, Al, Si, S, K, Ca, Sc, Ti, V, Cr, Mn, Fe, Co, tion potential (mainly sensitive to the model Te f f ) is zero within Ni, Cu, Zn, Sr, Y, and Ba) relative to the Sun itself. The atmo- on third of the slope uncertaintythat is due to the scatter in abun- spheric parameters and theoretical isochrones were then used to dances; b) the slope in ∆FeI with log (EW/λ) (mainly sensitive to determine the stellar ages and masses. In this section we describe the ξ) is zero within one third of the slope uncertainty;c) the dif- the tools and the procedures adopted for this analysis. ference ∆FeI-∆FeII is zero within 1/3 s.e.2 + s.e.2 where × q FeI FeII 2 2 / 3.1. Tools s.e.FeI and s.e.FeII are the standard errors (σ √n) associated with ∆FeI and ∆FeII, respectively. We also imposed the model metal- We employed the master list of atomic transition from Meléndez licity to be equal to that obtained from the iron lines. et al. (2014). Whenever possible, we selected the cleanest lines. We stress that this analysis is strictly differential relative to In the end,we used99 linesfor Fe I, 18 forFe II, and183for the the Sun, thus any systematic error, such as uncertaintiesin log g f other elements. and in the continuum setting, should cancel out. Any systematic The equivalent widths (hereafter, EWs) of the absorption error in the models that affects the abundances of the reference features included in the master list were measured using the star (e.g., a not strict fulfilment of the equilibrium conditions us- IRAF splot task. These determinations were performed by ing a model with the nominal solar parameters) is likewise iden- hand through Gaussian fits relative to continuum regions se- tical for the target stars. Thus, because we analyse solar twins, lected within windows of 3Å centred on the lines of interest. imposing the equilibrium conditions relative to the reference star To measure the solar and stellar± spectra in exactly the same way, balances this uncertainty in the stellar abundances (Bedell et al. we overplotted the observed solar spectrum on each stellar line 2014). and took care to set the same continuum in all the stellar spectra. We evaluated the errors associated with the stellar parame- As shown by Bedell et al. (2014), this approach resolves small ters following the procedure described in Epstein et al. (2010) differences in abundances (<0.01 dex) between different stars if and Bensby et al. (2014). Since each atmospheric parameter is the same instrument and resolution have been adopted for the dependent on the others, this approach takes into account this observations. dependence by propagating the error associated with the ful- For the abundance determinations we adopted the Kurucz filment of the three equilibrium conditions (i.e., minimization (ATLAS9) grid of model atmospheres (Castelli & Kurucz 2004). of the iron slopes and of ∆FeI ∆FeII) in every single parame- − The models were linearly interpolated to obtain a grid of points ter. The quadratic sum of all the error sources associated with with the required resolution in the parameter space. Employing each parameter gives its final uncertainty. The typical preci- the appropriate atmospheric models and the EW measurements, sions that we reached are σ(Te f f )=12 K, σ(log g)=0.03 dex, we calculated the local thermodynamic equilibrium (LTE) cal- σ([Fe/H])=0.01 dex, and σ(ξ)=0.03 km/s. culation of the chemical abundances with the 2014 version of In the first five columns of Table 2 we list for each star the at- MOOG (Sneden 1973). mospheric parameters determined by our analysis with their un- A Python package called qoyllur-quipu or q22 was used certainties. We used these final parameters to calculate the stellar to determine stellar ages and masses. This code employs the abundances. isochrone method, which is a widely used approach to calcu- late ages and masses of stellar objects. Adopting the Yonsei-Yale 3.3. Chemical abundances isochrones (Yi et al. 2001; Kim et al. 2002) and a set of atmo- spheric parameters (i.e., Te f f , log g,and [Fe/H]) with the related We employed LTE for the chemical abundance determinations of uncertainties, q2 interpolates the set of isochrones to match the most of the species using the abfind driver in the MOOG code. input parameters (Ramírez et al. 2013, 2014b) and calculate the We took into account the hyperfine splitting (HFS) effects that age and mass probability distributions. affect the odd-Z elements V, Mn, Co, Cu, Y, and Ba by feed- ing MOOG with our EWs measurements, but using the blends driver. This particular driver allows forcing the abundances to 3.2. Stellar parameters match the blended-line EWs when including the hyperfine struc- The achievement of accurate stellar parameters is essential for tures. We assumed the HFS line list adopted by Meléndez et al. high-precision abundance determinations. With this aim, we (2014). All elemental abundances were normalised relative to followed the procedure described in Meléndez et al. (2014). the solar values on a line-by-line basis. This differential analysis As a first step, we determined the solar abundances assuming reduces the effect of any systematic error on the abundance de- the following solar parameters: Te f f =5777 K, log g=4.44 dex, terminations of the stellar parameters. We calculated the NLTE [M/H]=0.00 dex, and ξ =1.00 km/s. Then we determined the corrections for the oxygen abundances as a function of stellar stellar parameters of the other spectra by computing the iron Te f f , log g, and [Fe/H] using an IDL script based on the NLTE abundances of the solar twins and, through a line-by-line com- corrections computed by Ramírez et al. (2007). We note that the parison of the abundances with those of the reference star (the absolute NLTE effects are of the order of 0.15 dex, but the dif- ferential NLTE effects are no more than 0.04∼ dex. Sun), we computed ∆FeIi=Ai∗ Ai⊙ for each line, where Ai∗ is the − We calculated the error budget associated with the abun- 2 The q2 code, developed by I.R., is available online at dances [X/H] following a procedure similar to that described https://github.com/astroChasqui/q2. in Meléndez et al. (2012), who took two types of uncertainty
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Table 2. Stellar parameters.
Star Te f f logg [Fe/H] ξ Age Mass A(Li) AgeLi [K] [dex] [dex] [km/s] [Gyr] [M ] [dex] [Gyr] HD 9986 5827 7 4.44 0.04 0.088 0.006 1.02 0.01 3.3 1.3 1.04 ⊙0.01 ...... HD 13531 5653 ±12 4.53±0.02 0.020±0.012 1.20±0.03 1.8±1.0 0.98±0.02 2.22 0.02 1.6 0.8 HD 13931 5895± 9 4.29±0.02 0.067±0.010 1.15±0.03 5.7±0.4 1.07±0.02 ...± ...± HD 32963 5768±5 4.37±0.03 0.088±0.009 0.99±0.03 5.9±0.8 1.03±0.02 ...... HD 33636 5963 ±21 4.47±0.04 0.082± 0.015 1.11±0.03 1.7±1.2 1.07±0.02 2.55 0.02 0.9 0.8 HD 43162 5661±27 4.53±0.03− 0.057 ±0.022 1.20±0.05 1.9±1.3 0.99±0.02 2.27±0.03 1.5±0.8 HD 45184 5873±18 4.41±0.04 0.070±0.016 1.03±0.04 3.7±1.2 1.06±0.02 ...± ...± HD 87359 5700±11 4.47±0.05 0.065±0.009 1.05±0.02 4.0±2.0 1.00±0.02 ...... HD 95128 5904± 7 4.35±0.02 0.022±0.006 1.14±0.01 5.2±0.5 1.05±0.01 ...... HD 98618 5845 ±10 4.42±0.03 0.054±0.009 1.05±0.02 3.9±1.0 1.04±0.01 ...... HD 106252 5885± 8 4.42±0.03 0.069± 0.008 1.13±0.02 4.3±1.1 1.02±0.01 ...... HD 112257* 5686±9 4.30±0.02 −0.003±0.008 0.94±0.02 9.6±0.5 0.97±0.02 ...... HD 140538 5704 ±13 4.48±0.05− 0.059 ±0.015 0.94±0.03 3.6±1.9 1.00±0.02 ...... HD 143436 5825±14 4.43±0.05 0.044±0.013 1.02±0.03 4.2±1.6 1.03±0.01 ...... ± ± ± ± ± ± Note: (*) high-α metal-rich star.
sources into account: the observational error that is due to the 3.4. Stellar ages line-to-line scatter in the EW measurements, and the errors in the atmospheric parameters. If more than one line is available We fed the q2 code with the set of atmospheric parameters and for a given element, we assumed the observational error to be relative uncertainties listed in Table 2 to derive ages and masses the standard error. When, as for potassium, only one line is de- for the sample of solar twins. For each star q2 computed two tected, the error was estimated by repeating the EW measure- probability distributions for the two parameters we aim to deter- ment five times with different assumptions on the continuum set- mine. From these distributions we took the confidence interval at ting and taking the standard deviation (σ) of the resulting abun- the 65% level as the limits in age and masses. The age assigned dances. In addition, the uncertainties related to the errors in the to each solar twin was assumed to be the centre value of that atmospheric parameters were estimated by summing quadrati- interval. Consequently, we took the half-width of the interval as cally the abundance changes produced by the alteration of every the age error bar. Analogously, we determined the stellar masses single parameter by its own error. Then, the observational er- and their uncertainties from the mass probability distributions. ror and that related to the stellar parameters were quadratically These values are listed in Cols. 6 and 7 of Table 2. summed, which resulted in the final uncertainty that affects the In addition to the ages calculated by q2, we also performed abundance. For the [X/Fe] ratios, the uncertainties related to the more precise age determinations from the lithium abundances errors in the parameters were estimated from the changes in the A(Li) of the three youngest stars in our sample (i.e., HD 13531, elemental abundance produced by alterations in the parameters HD 33636,and HD 43162).In fact, even though the lithium dou- relative to the changes in iron produced by the same alterations. blet features at 6708Åare detectable in many spectra of our sam- A similar approach was used for the [C/O] ratios. ple, it is particularly strong in these three spectra and appropriate Titanium and chromium were also observed in two ionisation for a reliable determination of the elemental abundance. Further- states. For these two we adopted as final abundances the classi- more, considering the youth of the three stars, the A(Li) is an cal weighted averages among the abundances derived from the excellent age tracer for these three solar twins, since the element neutral and first ionised states, as follows: is being burned faster than later during the main-sequence. As a first step, we therefore measured the rotational velocities vsini on five iron lines (i.e., 6027.050, 6093.644, 6151.618, 6165.360, 2 Ai/σ and 6705.102 Å) and one Ni line at 6767.772 Å for each star. = i , A P 2 These lines were chosen for their proximity to the Li doublet, 1/σi b P because their features are not contaminated by blends, and be- cause of their intermediate strength (40.EW.80 mÅ). Given the where Ai is the abundance in one of the two states and σi is the Fe and Ni abundances listed in Table 6, we used the synth drive relative uncertainty. We consistently estimated the error using in the MOOG code to compute the synthetic spectra of the six the formula lines, and by varying the vsini parameter, we aimed to reproduce their observed profiles by eye. We adopted the average of the six 1 σ(A) = . vsini determinations as a fixed parameter to determine the A(Li) 2 that could reproduce the observed Li doublet feature. We also b 1/σi qP assumed the laboratory parameters of the Li doublet and the ad- jacent lines, both atomic and molecular, employed by Meléndez The same procedure was used to calculate the carbon abundance et al. (2012) for their A(Li) determinations. The A(Li) uncertain- that was also observed in the CH molecular state. ties were estimated by i) varying the A(Li) abundance to repro- The [X/H] determinations that resulted from the chemical duce the observed feature; ii) taking different assumptions on the analysis described above with the related errors are listed in Ta- spectral continuum setting; iii) taking into account the errors in ble 6, while the [X/Fe] ratios are listed in Table 7. the atmospheric parameters. The quadratic sum of the three error
Article number, page 4 of 15 L. Spina et al.: Planet signatures and effect of the chemical evolution of the Galactic thin-disk stars