Filling the gap between synchronized and non-synchronized sdBs in short-period sdBV+dM binaries with TESS: TIC 137608661, a new system with a well defined rotational splitting
Roberto Silvotti, P\'eter N\'emeth, John H. Telting, Andrzej S. Baran,, Roy H. {\O}stensen, Jakub Ostrowski, Sumanta K. Sahoo, Saskia Prins

TL;DR
This study presents TIC 137608661, a new sdBV+dM binary observed by TESS, revealing detailed asteroseismic analysis that uncovers a non-synchronized, differentially rotating sdB star with a well-defined rotational splitting.
Contribution
It provides the first detailed asteroseismic characterization of TIC 137608661, demonstrating a non-synchronized rotation in a short-period sdBV+dM binary and exploring differential rotation.
Findings
The sdB star has a rotation period of 4.6 days, longer than the orbital period.
The star exhibits rotational triplets indicating l=1 modes with a period spacing of 270.12 s.
Surface rotation appears faster than the core, suggesting differential rotation.
Abstract
TIC137608661/TYC4544-2658-1/FBS0938+788 is a new sdBV+dM reflection-effect binary discovered by the TESS space mission with an orbital period of 7.21 hours. In addition to the orbital frequency and its harmonics, the Fourier transform of TIC137608661 shows many g-mode pulsation frequencies from the sdB star. The amplitude spectrum is particularly simple to interpret as we immediately see several rotational triplets of equally spaced frequencies. The central frequencies of these triplets are equally spaced in period with a mean period spacing of 270.12 s, corresponding to consecutive l=1 modes. From the mean frequency spacing of 1.25 {\mu}Hz we derive a rotation period of 4.6 days in the deep layers of the sdB star, significantly longer than the orbital period. Among the handful of sdB+dM binaries for which the sdB rotation was measured through asteroseismology, TIC137608661 is the…
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