Sparse Bayes Blocks: A New Method for Catching Sharply-Peaked High Energy Pulsars

Astronomy and Astrophysics – Astrophysics

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Scientific paper

Many of the bright unidentified sources in the gamma-ray sky may well turn out to be relatively nearby (Gould-belt: Gehrels et al2000, Nature, 404, 363) radio-quiet, gamma-ray loud pulsars, such as Geminga (Halpern and Holt 1992, Nature, 357, 222; Bertsch et al 1992, Nature, 357, 306). However Thompson (2001/astro-ph/0101039) points out that at the highest energies, these light-curves can become exceedingly sharply peaked. The best current methods, being Fourier-transform based, may not be optimal for detecting this class of `spiky' light-curve (Z_n^2; e.g. de Jager et al./astro-ph/0010179 and references therein). Hence, we have derived a statistic for detecting pulsars at X- or gamma-ray energies with the `spikiness' explictly built in. We use one or a very few `Bayes Blocks' (Scargle/astro-ph/9711233) of arbitrary height and width to represent the light-curve; then derive an optimum statistic (likelihood ratio) for testing against flatness via Bayesian Inference. Preliminary Monte Carlo tests show that it works as well or better than a standard Z_6^2 statistic for sharply peaked light-curves, especially at low signal-to-noise. We demonstrate it using CGRO/EGRET and COMPTEL data; and discuss its use for even higher energy instruments, including GLAST and TeV telescopes.

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