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White Dwarf Binaries in Globular Clusters. Fred Rasio (Northwestern). Outline. WD - WD binaries only (CVs and WD - NS binaries in other talks) Theoretical predictions from: N-body simulations with binaries and stellar evolution ( Hurley & Shara )
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White Dwarf Binaries in Globular Clusters Fred Rasio (Northwestern)
Outline • WD - WD binaries only (CVs and WD - NS binaries in other talks) • Theoretical predictions from: • N-body simulations with binaries and stellar evolution (Hurley & Shara) • Binary Population Synthesis with dynamics (Ivanova, Belczynski, Fregeau & FR) • Merger rates, properties of binaries in LISA band
Why WD - WD binaries? • Most common type of compact binary in any environment • Close (merging) WD - WD binaries should be especially abundant in dense star clusters (Chen & Leonard 1993 ApJ 411,L75; Shara & Hurley 2002, ApJ 571, 830) • Most promising LISA sources in Galactic globular clusters (Benacquista, SPZ & FR 2001, CQG, 18, 4024) • Interesting merger products: Type Ia SN, NS or MSPs by “merger-induced collapse” (?)
Key Dynamical Processes • Destruction of wide binaries (not just soft binaries!) • Hardening of close binaries • Exchange interactions (tend to replace low-mass companion by more massive companion) • Most important: Interplay with stellar evolution (eg exchange interaction + CE)
Results from N-body Simulations ApJ 589, 179 • Hurley & Shara: • NBODY4 + Hurley et al. Recipes for stellar evolution on GRAPE-6 • N = 20,000 with 10% binaries, open cluster conditions, tf = 4 Gyr • Even for these small, low-density clusters, dynamics plays a crucial role! (mainly through hardening and exchanges) • Merger rate for systems with Mtot > MCh is ~15 times higher than in a system with no dynamical interactions. • Implications for Type Ia SN rate, NS formation, Number of LISA sources in clusters, LISA Galactic background Cluster Field LISA merging
Population Synthesis with Dynamics • Combine: • StarTrack (Belczynski, Kalogera et al.) for binary evolution • FewBody (Fregeau) for dynamical 3-body and 4-body interactions • Monte Carlo generation of interactions in core • Simplified model of cluster dynamics: • Simplest: constant density “box” model • Current: two-zone model with core and halo • Ultimate: full dynamical Monte Carlo • Typical parameters: N ~ 105 with 50% - 100% binaries, globular cluster conditions, tf = 13 Gyr
Initial Primordial Binary Fractions… • Matching observed core binary fractions today of a few percent requires close to 100% binaries initially! (Ivanova, Belczynski, Fregeau, & FR 2003)
WD - WD Binary Mergers • Overall ~ 5 times more mergers with dynamics • For Mtot > MCh, ~ 100 times more mergers!
Binaries in the LISA band nc = 105 nc = 107 • Results from 10 independent cluster snapshots • May need ~ 100 - 500 to obtain meaningful distribution