Glitch Behavior of Pulsars and Contribution from Neutron Star Crust
Avishek Basu, Prasanta Char, Rana Nandi, Bhal Chandra Joshi and, Debades Bandyopadhyay

TL;DR
This paper investigates pulsar glitches by calculating the fractional moment of inertia of neutron star crusts using various equations of state, revealing limitations in explaining large glitches solely through crustal properties.
Contribution
It provides the first comprehensive calculation of crustal fractional moment of inertia for different neutron star masses using multiple unified EoS within the RMF framework, including entrainment effects.
Findings
Larger glitches cannot be explained by crustal FMI alone.
Entrainment effects influence the fractional moment of inertia calculations.
Theoretical FMI values are compared with observational data.
Abstract
Pulsars are highly magnetized rotating neutron stars with a very stable rotation speed. Irrespective of their stable rotation rate, many pulsars have been observed with the sudden jump in the rotation rate, which is known as pulsar glitch. The glitch phenomena are considered to be an exhibit of superfluidity of neutron matter inside the neutron star's crustal region. The magnitude of such rapid change in rotation rate relative to their stable rotation frequency can quantify the moment of inertia of the crustal region to the total moment of inertia of the star called as the fractional moment of inertia (FMI). In this paper, we have calculated FMI for different masses of the star using six different representative unified equations of state (EoS) constructed under Relativistic Mean Field (RMF) framework. We have performed an event-wise comparison of FMI obtained from data with that of…
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