The Probability Distribution of Binary Pulsar Coalescence Rates

Mathematics – Probability

Scientific paper

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Scientific paper

Inspiraling neutron star - white dwarf (NS - WD) binaries are expected to be detected by LISA (Laser Interferometer Space Antenna), which has a detection frequency range of ˜ 0.1 - 10 mHz. Currently, ˜ 40 NS - WD binaries are observed and three of them, PSR J0751+1807, PSR J1141-6545, and PSR J1757-5322, will coalesce within the age of the Universe. We use a newly developed statistical analysis method to estimate the coalescence rate, l R of NS - WD binaries and the detection rate of these systems by LISA. The method involves the simulation of selection effects inherent in all relevant radio pulsar surveys and a Bayesian analysis to calculate the probability distribution of l R. Brief summary of results for the case of double neutron star (NS - NS) systems and detection rate of such systems by LIGO will also be presented.

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