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Synchrotron radiation is widely considered as the origin of the pulsed non-thermal emissions from rotation-powered pulsars in optical and X-ray bands. In this paper, we study the synchrotron radiation emitted by the created electron and positron pairs in the pulsar magnetosphere to constrain on the energy conversion efficiency from the Poynting flux to the particle energy flux. We model two pair creation processes, two-photon collision which efficiently works in young $gamma$-ray pulsars ($lesssim10^6$ yr), and magnetic pair creation which is the dominant process to supply pairs in old pulsars ($gtrsim10^6$ yr). Using the analytical model, we derive the maximum synchrotron luminosity as a function of the energy conversion efficiency. From the comparison with observations, we find that the energy conversion efficiency to the accelerated particles should be an order of unity in the magnetosphere, even though we make a number of the optimistic assumptions to enlarge the synchrotron luminosity. In order to explain the luminosity of the non-thermal X-ray/optical emission from pulsars with low spin-down luminosity $L_{rm sd}lesssim10^{34}$ erg s$^{-1}$, non-dipole magnetic field components should be dominant at the emission region. For the $gamma$-ray pulsars with $L_{rm sd}lesssim10^{35}$ erg s$^{-1}$, observed $gamma$-ray to X-ray and optical flux ratios are much higher than the flux ratio between curvature and the synchrotron radiations. We discuss some possibilities such as the coexistence of multiple accelerators in the magnetosphere as suggested from the recent numerical simulation results. The obtained maximum luminosity would be useful to select observational targets in X-ray and optical bands.
The rotation powered pulsar loses angular momentum at a rate of the rotation power divided by the angular velocity $Omega_*$. This means that the length of the lever arm of the angular momentum extracted by the photons, relativistic particles and win
NICER observed several rotation-powered millisecond pulsars to search for or confirm the presence of X-ray pulsations. When broad and sine-like, these pulsations may indicate thermal emission from hot polar caps at the magnetic poles on the neutron s
The aim of the present paper is to investigate a possible contribution of the rotation-powered pulsars and pulsar wind nebulae to the population of ultraluminous X-ray sources (ULXs). We first develop an analytical model for the evolution of the dist
We present a statistical analysis of the X-ray luminosity of rotation powered pulsars and their surrounding nebulae using the sample of Kargaltsev & Pavlov (2008) and we complement this with an analysis of the gamma-ray-emission of Fermi detected pul
In the last 25 years, a new generation of X-ray satellites imparted a significant leap forward in our knowledge of X-ray pulsars. The discovery of accreting and transitional millisecond pulsars proved that disk accretion can spin up a neutron star to