TL;DR
This paper reviews the resonance model for high frequency QPOs in microquasars and neutron stars, highlighting its successes and the unresolved difficulties that challenge its explanatory power.
Contribution
It critically examines the resonance model's limitations and discusses potential future developments to address existing puzzles in explaining QPO phenomena.
Findings
Resonance model explains twin QPOs as coupled epicyclic modes.
The model faces unresolved theoretical difficulties.
Future developments are needed to resolve current puzzles.
Abstract
High frequency quasi-periodic oscillations (HFQPOs) have been detected in microquasars and neutron star systems. The resonance model suggested by Kluzniak & Abramowicz (2000) explains twin QPOs as two weakly coupled nonlinear resonant epicyclic modes in the accretion disk. Although this model successfully explains many features of the observed QPOs, it still faces difficulties and shortcomings. Here we summarize the aspects of the theory that remain a puzzle and we briefly discuss likely developments.
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