## Abstract

We consider the statistics of pulsar binaries with white dwarf companions (NS-WD). Using the statistical analysis method developed by Kim and coworkers, we calculate the Galactic coalescence rate of NS-WD binaries due to gravitational wave emission. We find that the most likely values for the total Galactic coalescence rate (R_{tot}) of NS-WD binaries lie in the range 0.2-10 Myr^{-1}, depending on different assumed pulsar population models. For our reference model, we obtain R_{tot} = 4.1 _{-2.56}^{+2.25} Myr^{-1} at a 68% statistical confidence level. These rate estimates are not corrected for pulsar beaming, and as such they are found to be about a factor of 20 smaller than the Galactic coalescence rate estimates for double neutron star systems. Based on our rate estimates, we calculate the gravitational wave background due to coalescing NS-WD binaries out to extragalactic distances within the frequency band of the Laser Interferometer Space Antenna. We find the contribution from NS-WD binaries to the gravitational wave background to be negligibly.

Original language | English |
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Pages (from-to) | 1109-1117 |

Number of pages | 9 |

Journal | Astrophysical Journal |

Volume | 616 |

Issue number | 2 I |

DOIs | |

State | Published - 1 Dec 2004 |

## Keywords

- Binaries: close
- Gravitational waves
- Stars: neutron
- White dwarfs