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Short GRBs and Mergers: Astrophysical constraints on a BH-NS and NS-NS origin. Richard O’Shaughnessy [V. Kalogera, C. Kim, K. Belczynski, T. Fragos] PSU, May 14, 2007. Context?. If you want to… Test GR soon (=LIGO) Need high SNR, clean merger waveforms
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Short GRBs and Mergers:Astrophysical constraints on a BH-NS and NS-NS origin Richard O’Shaughnessy [V. Kalogera, C. Kim, K. Belczynski, T. Fragos] PSU, May 14, 2007 LIGO-XXX
Context? If you want to… • Test GR soon (=LIGO) • Need high SNR, clean merger waveforms • EM coincidence helps search (orientation, time) • Understand shortGRBs • May not all be mergers • Merger waves or absence distinguishes • Improve models for binary stellar evolution • Merger rate is constraint • Short GRB observations could be a constraint… • Consistency with non-GRB observations? LIGO-XXX
Outline • Short GRBs : A Review • Intersection with LIGO • Population synthesis predictions • Milky Way astro-ph/0610076; 0609465 • Universe • Could short GRBs be mergers? • Detection rates consistent? • Redshift distribution, hosts? • Where are we now? What happens next? • EM: Swift + GLAST and biases • GW: Initial and Enhanced LIGO? LIGO-XXX
Short GRBs: A Review Short GRBs • One of two (?) classes • Cosmological distances • Low redshift selection effect? • Hard: often peaks out of band • Flux power law dP/dL ~ L-2 --> most (probably) unseen [Berger et al, astro-ph/0611128] Many sources at limit of detector (BATSE) LIGO-XXX
Short GRBs: A Review Merger motivation? • No SN structure in afterglow • In both old, young galaxies • Occasional host offsets GRB 050709 (Fox et al Nature 437 845) GRB 051221 (Soderberg et al 2006) • Young NSs are some (known) • Energetics suggest not all LIGO-XXX
Short GRBs: Review • Gravitational waves essential • Central engine? : Certainty requires gravitational waves • See inspiral • Check masses • Coincident observation powerful [e.g., merger-burst delay time; opening angle constraints; masses; NS radius; …] • Nondetection still useful [e.g., find fraction of short bursts from NS alone nearby] • Short GRBs : potentially powerful tool? • Constrain channels: Short GRBs >> 10/yr; #(NS-NS)=4 LIGO-XXX
But are Short GRBs Mergers? Direct test from one event? EM: Fireball problem -- can’t see central engine Enormous merger model diversity (e.g opening angles) GW: LIGO range short vs usual GRB distance [see later] Statistics - look for obvious inconsistencies? Predict #, distribution of mergers Implies #, distribution of short GRBs Compare + reject inconsistent models LIGO-XXX
StarTrack and Population Synthesis Population synthesis: • Evolve representative sample • See what happens Variety of results Depending on parameters used… • Range of number of binaries per input mass Priors matter a priori assumptions about what parameters likely influence expectations Plot: Distribution of mass efficiencies seen in simulations More binaries/mass O’Shaughnessy et al (in prep) LIGO-XXX
StarTrack and Population Synthesis Population synthesis: • Evolve representative sample • See what happens Variety of results Depending on parameters used… • Range of number of binaries per input mass • Range of delays between birth and merger Priors matter a priori assumptions about what parameters likely influence expectations Plot: Probability that a random binary merges before time ‘t’, for each model Merging after 2nd supernova Merging after 10 Gyr O’Shaughnessy et al (in prep) : changed priors since last paper LIGO-XXX
Popsyn and Milky Way Population synthesis • Controlled uncertainties --> wide but limited range of predictions Milky Way: A test • ~ steady state system (average mergerrate) • Compare to observations (several Kim et al) (NS-NS binaries + known selection effects) • Observation: shaded • Theory: dotted curve • Systematics : dark shaded • Limited set (9%) consistent • Complicated, extended 7d volume • Lots of physics can be mined More binaries/mass astro-ph/0610076 LIGO-XXX
Milky Way Binary Pulsars Kim et al ApJ 584 985 (2003) Kim et al astro-ph/0608280 Kim et al ASPC 328 261 (2005) Kim et al ApJ 614 137 (2004) Observations • 7 NS-NS binaries • 4 WD-NS binaries Selection effects “How many similar binaries exist, given we see one?” Examples • Lifetime : • age + merger time < age of universe • Lifetime visible : • time to pulsar spindown, stop? • Fraction missed - luminosity: • many faint pulsars Distribution of luminosities ~ known • Fraction missed - beaming: • Not all pointing at us! • Rate estimate Kim et al ApJ 584 985 (2003) • (steady-state approximation) • Number + ‘lifetime visible’ + lifetime • + fraction missed • => birthrate • + error estimate (number-> sampling error) • Note: • Only possible because many single pulsars seen: • Lots of knowledge gained on selection effects • Applied to reconstruct Ntruefrom Nseen Example: Lmincorrection: One seen --> many missed LIGO-XXX
Popsyn and Universe From recent Inhomogeneous universe: The reality • Time-dependent, multicomponent SFR • Use delay time distribution (dP/dt ~ 1/t) • Long delays matter Sample multicomponent predictions: • Merger rate in spirals (NS-NS) Merging after 10 Gyr Merging after 2nd supernova Plot: Birth time for present-day mergers LIGO-XXX
Can short GRBs be mergers? Short GRBs • Few observations • Minimum luminosity ~ unknown • Observed number --> rate upper bound Binary pulsars • Many (isolated) observed • Minimum luminosity ~ known • Observed number --> rate (+ ‘small’ error) Plots: Cartoon on Lmin observed Conclusion: The number (rate) of short GRB observations is a weak constraint on models LIGO-XXX
Can short GRBs be mergers? Test 1: Are there enough mergers? … so far, usually yes: • Plot: All-sky detection rate vs predictions, if + No bursts fainter than seen + All sky coverage & no beaming … but surprising if detectors “fine-tuned” many should be missed BH-NS NS-NS LIGO-XXX
Can short GRBs be mergers? Key Solid: 25-75% Dashed: 10-90% Dotted: 1%-99% Test 2: Are they distributed consistently in redshift? (BH-NS shown) BH-NS?: • Predictions: • 500 pairs of simulations • Range of redshift distributions • Observations: • Solid: certain • Shaded: possible O’Shaughnessy et al (in prep) LIGO-XXX
Can short GRBs be mergers? Result: Distributions which agree = mostly at low redshift Test 2: Are they distributed consistently in redshift? (BH-NS shown) • Predictions that agree? • Compare cumulative distributions: maximum difference < 0.48 everywhere • Compare to well-known GRB redshifts since 2005 • dominated by low redshift [95% Komogorov-Smirnov given GRBs] [consistent selection effects] O’Shaughnessy et al (in prep) LIGO-XXX
Can short GRBs be mergers? • Matching redshifts • Observed NS-NS • (Milky Way) • All agree? • - possible • - special parameters • needed (~1/100) Key Solid: 25-75% Dashed: 10-90% Dotted: 1%-99% Test 2: Are they distributed consistently in redshift? (NS-NS shown) • Predictions & observations O’Shaughnessy et al (in prep) LIGO-XXX
Can short GRBs be mergers? NS-NS?: • Physical interpretation • Observations : GRBs • Dominated by recent events • Expect: • Recent spirals dominate or • or Ellipticals dominate, with long delays • -Observations: Galactic NS-NS • High merger rate • Expect • High merger rate in spirals Plot: fs : fraction of mergers in spirals (z=0) • Consistent so far Mostly in ellipticals O’Shaughnessy et al (in prep) Mostly in spirals LIGO-XXX
Short GRBs: Where are we with Swift? See Nakar 2007 astro-ph/0701748 Good: No longer clueless • Hosts : variety, most star forming • Redshifts : Mostly nearby Bad • Afterglow searches biased against high redshift (Berger 2007) • Swift search biased against short bursts (Gehrels, Ringberg) • Few events • Detection rate hard to interpret • Narrow, strange sky coverage • No peak energies Surprises • Afterglows look odd • Classification no longer trivial (e.g., long bursts w/ short spikes; long close bursts w/ no SN; etc) GLAST will help - less biased selection - improve Swift triggering (e.g., lower flux thresholds) -> more statistics [Berger et al, astro-ph/0611128] LIGO-XXX
What will LIGO see? Enhanced LIGO (3x single-IFO range of 15 Mpc??) R(NS-NS) ~ 0.05 - 1 / year When will LIGO see mergers? [supporting slide] [based on single-IFO NS range (e.g., 15 Mpc)] Extrapolating from Milky Way: Whole universe: about the same (revised version astro-ph/0610076) (mature draft to be submitted; “raw data” [totally unconstrained distributions] shown) Initial NS-NS Advanced BH-NS LIGO-XXX
Detection: A scenario for 2014 Scenario: (Advanced LIGO) • Observe n ~ 30 BH-NS events [reasonable] • Rate known to within d log R ~2[1/n1/2ln(10)]~ 0.16 • Relative uncertainty down by factor d log R/ log R ~ 0.16/1 16% ~ 9% : Comparable to all EM observations Repeat for BH-BH, NS-NS • Independent channels (each depends differently on model params)-> Volume [0.09 (0.16)3] ~ (3 x 10-4)!! Params [0.09 (0.16)3]1/7 ~ 0.32 LIGO-XXX
LIGO Nondetections Useful SGRs (=B-driven bursting neutron stars) are GRBs • Known galactic/nearby source : SGR 1806 • Unknown (small?) contribution to nearby short GRB rate LIGO can “distinguish”: • Short GRB nearby (e.g., <15 Mpc) • Merger : Detectable • SGR : Marginally/not detectable • Application • Assist host galaxy searches (i.e., minimum distance to merger) • estimate SGR contribution critical to apply spiral fraction as constraint LIGO-XXX
Conclusions • Useful comparison method despite large uncertainties • Preliminary results • Via comparing to pulsar binaries in Milky Way • Via comparing to short GRBs? • Conventional popsyn works : weak constraints-> standard model ok • Expect GRBs in either host : spirals form stars now • Spirals now favored; may change with new redshifts! • Short GRBs = NS-NS? easier : few consistent ellipticals • Short GRBs = BH-NS? harder : fewer observations • Observational recommendations LIGO-XXX
Supporting slides follow • LIGO and short GRBs : Nondetection still useful • Swift detection biases LIGO-XXX
Outline • Predictions and Constraints: Milky Way • Observations (pulsars in binaries) and selection effects • Prior predictions versus observations • Constrained parameters • Physics behind comparisons : what we learn • Revised rate predictions • What if a detection? • Why Ellipticals Matter • Predictions and Constraints Revisited LIGO-XXX
Accepted models Constraint-satisfying volume 7d volume: • Hard to visualize! • Extends over ‘large’ range: characteristic extent(each parameter): 0.091/7~0.71 9% of models work 7d grid = 7 inputs to StarTrack LIGO-XXX
Outline • Predictions and Constraints: Milky Way • Why Ellipticals Matter • Two-component star formation model • Predictions and Constraints Revisited • Prior predictions • Reproducing Milky Way constraints LIGO-XXX
Importance of early SFR Plot: Birth time for present-day mergers From recent ancient SFR = ellipticals (mergers, …) From old Long delays allow mergers in ellipticals now • Merger rate from starburst: R ~ dN/dt~1/t • SFR higher in past: • Result: • Many mergers now occur in ancient binaries Nagamine et al astro-ph/0603257\ LIGO-XXX
Outline • Predictions and Constraints: Milky Way • Why Ellipticals Matter • Predictions and Constraints Revisited • GRBs • Review + the short GRB merger model • Short GRB observations, the long-delay mystery, and selection effects • Detection rates versus Lmin • Predictions versus observations: • If short GRB = BH-NS • If short GRB = NS-NS • Gravitational waves? • Conclusions LIGO-XXX
Conclusions • Broader model space • Polar kicks? • Different maximum NS mass • [important: BH-NS merger rate sensitive to it!] • Different accretion physics Future (model) directions: • More comparisons • Milky Way • Pulsar masses • Binary parameters (orbits!) • Supernova kick consistency? • Extragalactic • Supernova rates Some examples: Belczynski et al. (in prep) Goal: - show predictions robust to physics changes - if changes matter, understand why (and devise tests to constrain physics) LIGO-XXX