Bayesian Model Comparison and Analysis of the Galactic Disk Population of Gamma-Ray Millisecond Pulsars

Pulsed emission from almost one hundred millisecond pulsars (MSPs) has been detected in \(\gamma\)-rays by the Fermi Large-Area Telescope. The global properties of this population remain relatively unconstrained despite many attempts to model their spatial and luminosity distributions. We perform he...

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Bibliographic Details
Published in:arXiv.org 2018-05
Main Authors: Bartels, R T, Edwards, T D P, Weniger, C
Format: Article
Language:English
Subjects:
Bayesian analysis
Density
Galactic disk
Gamma rays
Luminosity
Millisecond pulsars
Parallax
Population
Spatial distribution
Uncertainty
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Summary:Pulsed emission from almost one hundred millisecond pulsars (MSPs) has been detected in \(\gamma\)-rays by the Fermi Large-Area Telescope. The global properties of this population remain relatively unconstrained despite many attempts to model their spatial and luminosity distributions. We perform here a self-consistent Bayesian analysis of both the spatial distribution and luminosity function simultaneously. Distance uncertainties, arising from errors in the parallax measurement or Galactic electron-density model, are marginalized over. We provide a public Python package for calculating distance uncertainties to pulsars derived using the dispersion measure by accounting for the uncertainties in Galactic electron-density model YMW16. Finally, we use multiple parameterizations for the MSP population and perform Bayesian model comparison, finding that a broken power law luminosity function with Lorimer spatial profile are preferred over multiple other parameterizations used in the past. The best-fit spatial distribution and number of \(\gamma\)-ray MSPs is consistent with results for the radio population of MSPs.
ISSN:2331-8422
DOI:10.48550/arxiv.1805.11097