Correlation between the Gamma-Ray Luminosity and the Light Cylinder Magnetic Field Strength of Fermi-LAT Pulsars

We analyze statistically the differences between gamma-ray loud and quiet samples of the radio pulsars that have been searched with the Fermi satellite. Among many pulsar parameters considered in this paper, our Kolmogorov-Smirnov test shows that the distributions of magnetic field strength at the light cylinder of the two samples are the most inconsistent, but that of radio spectral index are the least discrepant. Significant correlations are found between the gamma-ray luminosity and magnetic field strength at the light cylinder of Fermi-LAT pulsars in the Second Fermi Large Area Telescope Catalog of Gamma-ray pulsars, for normal pulsars and millisecond pulsars respectively. Using the above correlations, we give a list of gamma-ray pulsar candidates with their predicted gamma-ray energy flux.