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Heartbeat stars provide an ideal natural laboratory for studying tidally excited oscillations (TEOs). Analyzing the frequencies and phases of these pulsations allows us to verify their tidal origin and constrain the underlying oscillation modes. Using TESS photometry, we select and analyse eight canonical heartbeat systems and two candidate systems with candidate TEO signals, including five newly discovered systems and five previously reported systems. After fitting and subtracting the orbital light variations with a corrected Kumar model, we identify 13 candidate TEO signals in the residual spectra. The median orbital harmonic number is n = 6, with most signals occurring at low-order harmonics; a higher-order candidate at n = 20 is detected in TIC 153123772. Under the adiabatic standing-wave approximation, assuming alignment of the pulsation, spin, and orbital axes, we compare the observed phases with the theoretical phases of ℓ = 2, m = 0, ±2 modes. The candidate phases in seven systems are consistent with theoretical expectations within 2σ, although unique mode identification remains unavailable for some signals. TIC 107729934 and TIC 239144568 show only partial consistency, with their n = 4 and n = 6 signals exhibiting phase deviations exceeding 2σ, respectively, while TIC 153123772 departs from theoretical expectations, with its n = 20 signal also showing a deviation exceeding 2σ. These discrepancies suggest that non-adiabatic responses, travelling waves, or spin–orbit misalignment may be at play in these systems. We present the candidate TEO signals and their phase constraints for these ten systems, providing a solid foundation for future verification of their physical nature and mode types.
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Wang et al. (2026) studied this question.
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