X-ray bounds on the r-mode amplitude in millisecond pulsars
Kai Schwenzer, Tu\u{g}ba Boztepe, Tolga G\"uver, Eda Vurgun

TL;DR
This paper uses X-ray observations of millisecond pulsars to set stringent limits on r-mode oscillation amplitudes, providing insights into their internal composition and thermal properties.
Contribution
It introduces a method to constrain r-mode amplitudes in millisecond pulsars using X-ray data, improving previous bounds significantly.
Findings
r-mode amplitude bounds as low as 10^{-8}
X-ray data effectively constrains internal star properties
Implications for neutron star composition models
Abstract
r-mode astroseismology provides a unique way to study the internal composition of compact stars. Due to their precise timing, recycled millisecond radio pulsars present a particularly promising class of sources. Although their thermal properties are still poorly constrained, X-ray data is very useful for astroseismology since r-modes could strongly heat a star. Using known and new upper bounds on the temperatures and luminosities of several non-accreting millisecond radio pulsars we derive bounds on the r-mode amplitude as low as and discuss the impact on scenarios for their internal composition.
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