Implications of Radio Pulsar Crust Size on its Braking Index

Abstract

There are several obvious observable evolutionary evidence among all the population of known pulsars, but a consistent description of this evolutionary trend is generally lacking in the literature. In this study, we provide a consistent interpretation of this evolutionary eect, on the ground that the exchange of moment of inertia with time between superiud component and the solid crust component as the temperature of the neutron star drops is a signicant process of energy loss in the star. This process of rotational energy loss, powers magnetic eld growth in young pulsars and the inverse of this process is responsible for magnetic eld decay in older pulsars. Based on this premise we were able to account for the observed rst deceleration parameter and second deceleration parameter of the pulsars with signicant determination of their spin down parameters. The value of the observed braking index for each pulsar is an indicator of its crust size