Mixed-mode coupling in the Red Clump I. Standard single star models

Abstract

The investigation of global, resonant oscillation modes in red giant stars offers valuable insights into their internal structures. In this study, we investigate in detail the information we can recover on the structural properties of core-helium burning (CHeB) stars by examining how the coupling between gravity- and pressure-mode cavities depends on several stellar properties, including mass, chemical composition, and evolutionary state. Using the structure of models computed with the stellar evolution code MESA we calculate the coupling coefficient implementing analytical expressions, which are appropriate for the strong coupling regime and the structure of the evanescent region in CHeB stars. Our analysis reveals a notable anti-correlation between the coupling coefficient and both the mass and metallicity of stars in the regime $M\lesssim 1.8{\mathrm{M}}_{\odot }$, in agreement with Kepler data. We attribute this correlation primarily to variations in the density contrast between the stellar envelope and core. The strongest coupling is expected thus for red-horizontal branch stars, partially stripped stars, and stars in the higher-mass range exhibiting solar-like oscillations ($M\gtrsim 1.8{\mathrm{M}}_{\odot }$). While our investigation emphasises some limitations of current analytical expressions, it also presents promising avenues. The frequency dependence of the coupling coefficient emerges as a potential tool for reconstructing the detailed stratification of the evanescent region.

21 pages, 33 figures, Accepted for publication in Astronomy and Astrophysics. Included correct Figs. 10, 11, 12 and some language editing

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Cited by in corpus (3)

• Weak or strong: coupling of mixed oscillation modes on the red-giant branch
• Detailed theoretical analysis of core Helium-burning stars: Mixed mode patterns I. Impact of the He-flash discontinuity and of induced semi-convection
• Facing the phase: Gravity-mode offset and buoyancy glitches in red--giant branch stars