2020/03/31 by Vincent Desjacques, Evgeni Grishin, Yonadav Barry Ginat · 2 citations
Physics and Astronomy · #Astronomy and Astrophysical Research #Axion #Benchmark (surveying) #Binary number #Dark Matter and Cosmic Phenomena #Dark matter #Formalism (music) #Harmonic oscillator #Numerical analysis #Pulsar #Pulsars and Gravitational Waves Research #astro-ph.CO #astro-ph.GA #astro-ph.HE #gr-qc #hep-ph
paper · pdf · doi:10.3847/1538-4357/abaefc
15 pages, 5 figures (v2): moderate revision. matches the published manuscript (v3): references added
openalex created_date 2020/04/03 · openalex publication_date 2020/09/01 · arxiv created 2020/10/13 · arxiv updated 2020/10/14 · openalex updated_date 2026/08/05
Abstract Scalar, tensor waves induce oscillatory perturbations in Keplerian systems that can be probed with measurements of pulsar timing residuals. In this paper, we consider the imprint of coherent oscillations produced by ultralight axion dark matter on the Roemer time delay. We use the angle-action formalism to calculate the time evolution of the observed signal and its dependence on the orbital parameters and the axion phase. We derive exact analytical expressions for arbitrary binary pulsar mass ratio and eccentricity, alleviating the need for long numerical integrations. We emphasize the similarity of the expected signal-to-noise ratio with the response of a harmonic oscillator to an external oscillatory driving. We validate our theoretical predictions with numerical simulations. Our results furnish a useful benchmark for numerical codes and analysis procedures and, hopefully, will motivate the search for such imprints in real data.