2008ApJ...682.1166L

We present a statistical study of the nonthermal X-ray emission of 27 young rotation-powered pulsars (RPPs) and 24 pulsar wind nebulae (PWNe) using the Chandra and XMM-Newton observations, whose high spatial resolutions enable us to resolve pulsars from their surrounding PWNe. We obtain the X-ray luminosities and spectra separately for RPPs and PWNe, and then investigate their distribution and relation to each other, as well as their relation to the pulsar rotational parameters. In pair-correlation analysis we find that (1) the X-ray (2-10 keV) luminosities of both pulsar and PWN (L_X,psr and L_X,pwn) display a strong correlation with the pulsar spin-down power E{dot} and characteristic age τ. The scalings resulting from a simple linear fit to the data are L_X,psr∝E{dot}^0.92±0.04 and L_X,pwn∝E{dot}^1.45±0.08 (68% confidence level), respectively; however, neither fit is statistically acceptable. (2) L_X,psr also shows a possible weak correlation with the pulsar period P and period derivative P{dot}, whereas L_X,pwnmanifests a similar weak correlation with P{dot} only. (3) The PWN photon index Γ_pwn is positively correlated with L_X,pwn and L_X,pwn/E{dot}. We also found that the PWN X-ray luminosity is typically 1 to 10 times larger than that from the underlying pulsar, and the PWN photon indices span a range of 1.5≲Γ_pwn≲2.1. The statistical study of PWN spectral properties supports a particle wind model in which the X-ray-emitting electrons are accelerated by the termination shock of the wind.