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This study aims to identify close compact binaries (PCEBs) consisting of a white dwarf (WD) and a main sequence (MS) star in the Sloan Digital Sky Survey (SDSS). By analyzing the spectroscopic data, we have identified 18 PCEBs and candidates and determined their stellar parameters. This research provides valuable insights into the formation and evolution of various fascinating binary systems.
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POST COMMON ENVELOPE BINARIES FROM THE SLOAN DIGITAL SKY SURVEY Alberto Rebassa-Mansergas Supervisor : Dr. Boris Gaensicke Co-supervisor : Dr. Pablo Rodríguez-Gil Working with: Dr. Linda Schmidtobreick Dr. Matthias Schreiber
INTRODUCTION PCEBs = wide MS binaries + CE phase Friction within the envelope leads to a rapid decrease of the binary orbit E and J extracted from the orbit ejects the CE WDMS binaries = WD + MS (no CE)
PCEBs are the progenitors of the following fascinating systems: • - double degenerates • - gamma ray bursts • - super soft sources • - black-hole candidates • - CVs and X-Ray binaries • - milisecond pulsars • - supernova Type Ia
18 PCEBs identified from RVs Population models are available clear lack of observational constraints We need to establish a large sample of one type of close compact binaries PCEBs consisting of a WD and a MS are the best systems because they are: - numerous (population studies are feasible) - well understood in terms of single star evolution - nearby and easily accessible with 2-8m telescopes - no mass transfer systems SDSS ~1500 WDMS stellar parameters (WD + MS)
IDENTIFYING PCEBs IN THE SDSS WD clearly visible in the blue The MS dominates the red
IDENTIFYING PCEBs IN THE SDSS WD clearly visible in the blue The MS dominates the red Na λλ 8183.27,8194.81 doublet Hα emission (if present) ~10% of the spectroscopic SDSS objects are observed more than once RV variations will identify such a system as a strong PCEB candidate
SDSSJ0246+0041 display an extremely large radial velocity variation Hα emission = Gaussian + parabola Na doublet = double-Gaussian fixed separation + parabola
18 strong PCEB candidates imply ~15% in our WDMS sample. However: • In most cases only two spectra are available • The low spectral resolution of SDSS limit the detection of significant radial • velocity change to ~10 km/s • Na doublet will smear in binaries with extremely short orbital periods • PCEB fraction among the SDSS WDMS might be higher than predicted, • probably in agreement with the ~20% obtained by the population models • Follow-up with higher spectral resolution will be necessary to confirm • this hypothesis
STELLAR PARAMETERS Decompose the WDMS into its WD and MS components M-dwarf templates, a grid of observed WD templates and a grid of WD model spectra Two steps (1) Fit the WDMS spectra model M-dwarf Sp the flux scaling factor between the M star template and the observed spectrum
(2) M-dwarf template subtracted Residual line profiles in the WD fitted with the grid of WD models WD Teff and log(g) the flux scaling factor between the WD model and the WD observed spectrum WD Mass from Bergeron et al's (1995) tables Teff and log(g) obtained from the fit to the whole spectrum were select the “hot” or “cold” solutions from the line profiles
Histograms consistent in broad terms • with other authors: • WD mass peaks at 0.6 solar masses • The most common Sp are M3-M4 • The most frequent Teff are between • 10000-20000 k. • - log(g) peaks at log(g) = 8
Distances estimated from the best-fit flux scaling factors of the two spectral components: For the WD: For the M-star: It is necessary to assume a radius for the secondary star This requires a spectral type-radius relation for M stars Problem! Lack of observational work Compile Sp and R from the literature empiricalSp-R relation for M stars
“Average” relation irrespective of - ages - metallicities - activity levels • The Sp-R relation is compared to: • Theoretical models • Directly measured radii from • eclipsing binaries and • interferometry • Directly measured radii from • eclipsing WDMS binaries • (RR Cae, NN Ser, DE CVn, • RXJ2130.6+4710, • EC 13471-1258)
2/3 of the systems have d(sec) ≈ d(wd) within their errors. However, there is a clear • trend for outliers where d(sec) > d(wd) • Systematic problems in the WD fits? • A relationship with close binarity? • Problems in determining the Sp of the secondary star? • Problems in the Sp-R relation?
Could magnetic activity affect the Spectral type of the secondary? We assume that the secondary star appears hotter that it should for its given mass. This implies a change of 1-2 Sp subclasses, and hence a change in the Teff and the radius.
Could magnetic activity affect the Spectral type of the secondary? We assume that the secondary star appears hotter that it should for its given mass. This implies a change of 1-2 Sp subclasses, and hence a change in the Teff and the radius.
CONCLUSIONS • We have identified 18 PCEBs and PCEB candidates among a sample of 101 • WDMS for which repeat SDSS spectroscopic observations are available. • From the SDSS spectra we determine Sp of the companions, Teff, M, log(g) of • the WDs, as well as distance estimates to the systems. Even though some of • the stellar parameters obtained from our decomposing/fitting technique differ • from those obtained from other authors, our results agree in broad terms. • In about 1/3 of the WDMS studied, the SDSS spectra suggest that the secondaries • have Sp types too early for their masses. This behaviour could be explained by • magnetic activity if covering a significant fraction of the star by cool dark spots will • raise the temperature of the inner spots regions. • The fraction of PCEBs among the WDMS population is ~15%, However, our data • suggest a higher fraction, probably in agreement with the results obtained from • population models.
Hα emission radial velocities Na doublet radial velocities.
ORBITAL PERIODS OF THE PCEBs We assume i = 90 degrees and also that the radial velocities sample the maximum quadrature of the radial velocity amplitud. Thus we get absolute maximum periods of the PCEBs, which range between 0.46d – 7880d. The actual periods are likely to be susbtancially shorter, especially for those systems where only two SDSS spectra are available and the phase sampling is correspondingly poor.
2/3 of the systems have d(sec) ≈ d(wd) within their errors. However, there is a clear • trend for outliers where d(sec) > d(wd). We considered: • Systematic problems in the WD fits? • A relationship with close binarity?
Problems in determining the Sp of the secondary star? • Problems in the Sp-R relation?
For Sp later than M3 the theoretical Sp-R relation is not sufficient enough to shift the outliers. For Sp earlier than 2.5 the theoretical relation exacerbates the d(sec) > d(wd) problem.