Millisecond Pulsar Ages: Implications of Binary Evolution and a Maximum Spin Limit

TL;DR

This paper introduces a new method for estimating millisecond pulsar ages that accounts for binary evolution and physical limits, improving accuracy over traditional spin-down age estimates and analyzing population characteristics.

Contribution

It develops a parametric approach incorporating binary evolution constraints and physics limits to better estimate MSP ages, addressing biases and contamination effects.

Findings

Standard spin-down ages can be off by over a factor of 10 for MSPs.

A braking index of n=3 aligns with observed MSP population.

Descendants of low-rate accreting LMXBs can appear older than the Galaxy.

Abstract

In the absence of constraints from the binary companion or supernova remnant, the standard method for estimating pulsar ages is to infer an age from the rate of spin-down. While the generic spin-down age may give realistic estimates for normal pulsars, it can fail for pulsars with very short periods. Details of the spin-up process during the low mass X-ray binary phase pose additional constraints on the period (P) and spin-down rates (Pdot) that may consequently affect the age estimate. Here, we propose a new recipe to estimate millisecond pulsar (MSP) ages that parametrically incorporates constraints arising from binary evolution and limiting physics. We show that the standard method can be improved by this approach to achieve age estimates closer to the true age whilst the standard spin-down age may over- or under-estimate the age of the pulsar by more than a factor of ~10 in the millisecond regime. We use this approach to analyze the population on a broader scale. For instance, in order to understand the dominant energy loss mechanism after the onset of radio emission, we test for a range of plausible braking indices. We find that a braking index of n=3 is consistent with the observed MSP population. We demonstrate the existence and quantify the potential contributions of two main sources of age corruption: the previously known "age bias" due to secular acceleration and "age contamination" driven by sub-Eddington progenitor accretion rates. We explicitly show that descendants of LMXBs that have accreted at very low rates will exhibit ages that appear older than the age of the Galaxy. We further elaborate on this technique, the implications and potential solutions it offers regarding MSP evolution, the underlying age distribution and the post-accretion energy loss mechanism.