The Initial-Final Mass Relation

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The Giant Branches – Leiden 14/05/09 The Initial-Final Mass Relation Aldo Serenelli – MPA Salaris, Serenelli, Weiss & Miller Bertolami (2009)

description

The Initial-Final Mass Relation. Salaris, Serenelli, Weiss & Miller Bertolami (2009). Aldo Serenelli – MPA. IFMR: M(MS)  M(WD). Chemical evolution of stellar populations Mass-to-light ratio WD luminosity function Upper mass limit for WD formation - PowerPoint PPT Presentation

Transcript of The Initial-Final Mass Relation

Page 1: The Initial-Final Mass Relation

The Giant Branches – Leiden 14/05/09

The Initial-Final Mass Relation

Aldo Serenelli – MPA

Salaris, Serenelli, Weiss & Miller Bertolami (2009)

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IFMR: M(MS) M(WD)

Chemical evolution of stellar populations

Mass-to-light ratio

WD luminosity function

Upper mass limit for WD formation

Constraints on total mass loss & C/O core evolution

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Semi-empirical IFMR

Basic data: WD spectrum & total age of WD (tot = cool + prog)

Observations Theory (models)

WD spectrum WD atmosphere models(Teff, log g)WD cooling models (cool,MWD)

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Semi-empirical IFMR

Basic data: WD spectrum & total age of WD (tot = cool + prog)

Observational requirements difficult to meet simultaneously

Observations Theory (models)

WD spectrum WD atmosphere models(Teff, log g)WD cooling models (cool,MWD)

WDs in clusters (and binaries): CMD, [Fe/H], E(B-V)

Isochrones (tot prog)Stellar models Initial mass

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Weidemann (2000)

~ 15 objects

Combination of semi-empirical and theoretical relations

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Ferrario et al. (2005)

Observational efforts byDobbie, Williams, Kalirai & others

~ 40 objects 7 clusters + Sirius

Heterogeneous sourcesfor cluster agesand stellar models

Errors from observations (incl. cluster ages)

Constraints on stellar models? Uncertainties from stellar and WD models

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New (homogeneous) determination of cluster distances and ages(ask Maurizio for details)

All clusters around [Fe/H]

Cluster sample

Pleiades 85 MyrHyades 640 MyrPraesepe 650 MyrNGC 2516 130 MyrNGC 3532 400 MyrM37 320 MyrM35 120 MyrNGC 7789 1500 MyrNGC 6819 2000 MyrNGC 1039 150 Myr

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New (homogeneous) determination of cluster distances and ages(ask Maurizio for details)

All clusters around [Fe/H]

Cluster sample

Pleiades 85 MyrHyades 640 MyrPraesepe 650 MyrNGC 2516 130 MyrNGC 3532 400 MyrM37 320 MyrM35 120 MyrNGC 7789 1500 MyrNGC 6819 2000 MyrNGC 1039 150 Myr

Exception is M37

Despite variety of methods data and isochrones, agescompare well

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Cluster ages: consistency

Two homogeneous sets of models

Basti & Pauda isochronesgive very similar results.

Lower limit to systematicuncertainties in age determinations?

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Sources of uncertainties

White dwarfs: o Observational uncertainties (log g & Teff)

(0.05 dex, 400 K – 0.25 dex, 1200 K)o Different cooling tracks (S00 – LPCODE) o Input physics (neutrino cooling, opacity)o WD core composition (C/O ratio)o H-envelope thickness

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Sources of uncertainties

White dwarfs: o Observational uncertainties (log g & Teff)

(0.05 dex, 400 K – 0.25 dex, 1200 K)o Different cooling tracks (S00 – LPCODE) o Input physics (neutrino cooling, opacity)o WD core composition (C/O ratio)o H-envelope thickness

Progenitor stars: o Cluster ageo [Fe/H]o Different isochrones & models (BASTI – PADUA)

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Sources of uncertainties

White dwarfs: o Observational uncertainties (log g & Teff)

(0.05 dex, 400 K – 0.25 dex, 1200 K)o Different cooling tracks (S00 – LPCODE) o Input physics (neutrino cooling, opacity)o WD core composition (C/O ratio)o H-envelope thickness

Progenitor stars: o Cluster ageo [Fe/H]o Different isochrones & models (BASTI – PADUA)

Input physics & systematics: i= (X+-X-)/2

Derive IFMR from Monte Carlo simulations

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Reference IFMR – 53 WDs – BASTI & S00

Larger uncertainties upto x2

Statistical agreement

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Reference IFMR – 53 WDs – BASTI & S00

Larger uncertainties upto x2

Statistical agreement

Problematic objectsin M37 (and NGC 3532?)

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Reference IFMR – 53 WDs – BASTI & S00

Larger uncertainties upto x2

Statistical agreement

Problematic objectsin M37 (and NGC 3532?)

Intrinsic spread in Mf around Mi= 3 – 3.5M

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Uncertainties I. Different isochrones and stellar models

Changes << than overall uncertainty

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Uncertainties II. Different WD cooling tracks

Relevant effect for Mi > 5M

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Uncertainties III. WD physics

Relevant effect for hot & massive WDs

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Uncertainties IV: WDs

WD masses: dominated by observational uncertainties(M-R relation is robust)

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Uncertainties IV: WDs

WD masses: dominated by observational uncertainties(M-R relation is robust)

WD ages: observations & physics/models matter

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Uncertainties V: progenitors

Progenitor ages & masses: cluster age dominant but WD age important as well

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Comparison with theoretical IFMR

BASTI

LPCODE

Semi-empirical above theoretical relation

Favours core growth during TP-AGB (constrainton OV at the He-shell?but PG-1159 abundances)

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Comparison with theoretical IFMR

BASTI

LPCODE

Semi-empirical above theoretical relation

Favours core growth during TP-AGB (constrainton OV at the He-shell?but PG-1159 abundances)

Spread around 3-3.5M

coincident with steeptheoretical relation

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Comparison with theoretical IFMR

BASTI

LPCODE

Semi-empirical above theoretical relation

Favours core growth during TP-AGB (constrainton OV at the He-shell?but PG-1159 abundances)

Spread around 3-3.5M

coincident with steeptheoretical relation

General agreement w/models no gross disagreement with mass loss prescriptions (but interplay with core growth!)

Problems with M37 point out the importance of accurate cluster parameters

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One word on no-OV (MS) models

Younger cluster ages higher initial masses; many above the 8M, or

even negative prog

Models with no-OV in MSstrongly disfavoured

BASTI

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Parallel effort (Catalan et al. 2008 a,b)

Include uncertainties in WD structure

Include WDs in commonproper motion pairs with FGK

Potentially very interesting: large number of systems,range of metallicities, coverage of low-mass end

Difficult to determine total age:based on isochrones/models & X-ray luminosity

(Courtesy S. Catalan)

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Summary I

Consistent determination of cluster ages; ~[Fe/H]

(but WD obs. data from literature)

Systematic study of uncertainties

No WDs near Chandrasekhar limit (but see GD50 in talk by E. Garcia-Berro)

MS models without OV disfavoured

Theoretical IFMR OK if CO core grows along TP-AGB

Spread around 3-3.5M seems real: reflects steep theoretical IFMR, or star to star variation at fixed Mi?

Uncertainties dominated by observational errors (but hot-WD)

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Summary II

No gross disagreement between mass loss prescriptionsand total mass lost (but coupled to core growth)

Problems with M37 illustrates the necessity of reliable cluster parameters

Models with similar (up-to-date) physics lead to similar semi-empirical IFMR

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Summary II

No gross disagreement between mass loss prescriptionsand total mass lost (but coupled to core growth)

Problems with M37 illustrates the necessity of reliable cluster parameters

Models with similar (up-to-date) physics lead to similar semi-empirical IFMR