Elucidation of the relationship between the radio luminosity and rotational energy loss rate of pulsars by the modified dipole emission model

Abstract

HE Long-song et al. [1] have presented a modified dipole emission model of pulsars. In this model, the modifying factor, f, is a function of the geometrical parameters of the pulsar. They have shown that the statistical result between the time derivative of the period and period of the pulsars is in basic agreement with the theoretical result based on their model. Also, the age of evolution of the pulsar magnetic field is found by them to be greater than 10 8 years consistent with many theoretical results. I have applied the standard dipole emission model and the modified model to the rotational energy loss rate ( E ̇ ) and period ( P) data of 94 pulsars and it has been found that the modified model exhibits a tighter correlation between these two quantities than the standard model. The relationship derived between E ̇ and P is shown to elucidate the empirical relationship between the radio luminosity ( L) and the rotational energy loss rate ( E ̇ ) of pulsars derived by Malov et al. [2]