Neutron Star Persistent Shift Phenomena and Relavant Data Fitting Analysis

TL;DR

This paper analyzes pulsar glitch data, proposing a new mathematical fitting method to better understand the persistent shifts in spin frequency derivatives and their correlation with glitch sizes, despite unclear physical mechanisms.

Contribution

Introduces a novel fitting function $k\,\ln(ax + b)$ for modeling pulsar glitch persistent shifts, improving mathematical description of the correlation with glitch size.

Findings

The new fitting strategy better describes the data.

A correlation between delayed spin-up timescale and glitch size is demonstrated.

Physical mechanisms behind the fitting remain uncertain.

Abstract

Pulsar glitches are the sudden increase in their spin frequency, most accompanied with a long timescale recovery process. A permanent shift would be remained in the first order derivative of spin frequency with time. Relevant data fitting research about this persistent shift was performed in this essay, we have found a more suitable fitting strategy by choosing a fitting function form $k\ln(ax + b)$ and demonstrated that would be more meaningful in pure mathematical aspect in describe the correlation between the time scale of Delayed-Spin-Up $\tau_{d}$ (so as the persistent shift $\Delta \dot{\nu}_{p}$) and glitch size $\Delta \nu$.Some possible physical ideas about this fitting also have been presented while the clear physical mechanism behind this strategy still remain unknown.