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Magnetic mode depression and frequency shifts in quadrupole modes of red giants

Coppée, Quentin; Müller, Jonas; Hekker, Saskia

Abstract

When describing the effects of core-magnetic fields on the oscillation modes in red giants, we can distinguish two regimes: weak or strong magnetic field. The threshold field strength is the so-called critical field strength. For strong fields, we expect the energy of the mode to be fully dissipated in the g-mode cavity. For weak fields, we expect the mixed-mode frequencies to be shifted to higher frequencies. As the critical field strength decreases with spherical degree, a subset of red giants should have magnetic frequency shifts in their dipole modes, while the g-mode contribution in their quadrupole modes is fully dissipated. In this regard, finding stars in this specific magnetic field regime is valuable, as these stars are important testing grounds for current understanding of core-magnetism. To this end, we analysed the power spectra of eleven stars with confirmed magnetic shifts and no clear signs of rotation (allowing for a precise determination of the magnetic shift). From their quadrupole-mode properties, we deduce that eight stars exhibit signs of full dissipation of the g-mode character, while three others show only partial dissipation. For the eight stars, their magnetic field estimates confirm that the quadrupole-mode dissipation can be linked to the presence of a strong core-magnetic field. For two of the three stars with partial dissipation, we can also explain their mode properties through the presence of a core-magnetic field. Our results directly link the mode-energy dissipation in non-radial modes to the presence of a core-magnetic field. Moreover, we confirm that the combination of dipole and quadrupole-mode properties can help us confirm the presence of core-magnetic fields and understand them.

Full text

Q. Coppée1,2, J. Müller1,2, S. Hekker1,2 1 Heidelberg Institute for Theoretical Studies, Germany 2 Heidelberg University, Centre for Astronomy, Germany [email protected]g Magnetic mode depression and frequency shifts in quadrupole modes of red giants Frequency shift: positive perturbation to asymptotic frequency ⇒ insights on field strength and configuration (see e.g. Bugnet et al. 2021, Loi 2021, Li et al. 2022, Deheuvels et al. 2023, Das et al. 2024) Mode depression: energy dissipation in central regions (pure p-modes in case of total dissipation, see e.g. Fuller et al. 2015) ⇒ insights on field strength Simultaneously observe frequency shifts in the dipole modes and mode depression in the quadrupole modes ⇒ direct observational evidence of magnetic mode depression. Magnetic effects in red-giant mixed modes Fig. 2: Average linewidth ratio as a function of the normalised visibility (mode energy relative to radial-mode energy), colour-coded by mass. Full g-mode-energy dissipation prediction is shown in gray. Test mode depression Confirming expectations from field strength estimates! Fig.3: Example of a radial order with observed quadrupole-mode doublets in the power spectrum. Minimal field strength estimate 10 red giants, confirmed dipole-mode magnetic frequency shifts, and no clear signs of rotation (see Deheuvels et al., 2023). ⇒ Minimal field strength from observed shift. Expectations: ●7 stars with signs of quadrupole-mode depression (B > Bcrit,2) ●3 stars with no sign of quadrupole-mode depression (B < Bcrit,2) Fig. 1: Field-strength estimates from observed dipole-mode frequency shifts as a function of 𝝂max, colour-coded by mass. The threshold magnetic field strength (Bcrit) is shown for the dipole (grey) and quadrupole (colour) modes. The star KIC 6975038 (square marker) shows signs of dipole-mode depression. Quadrupole-mode frequency shifts? ●Since B < Bcrit,2 in 3 stars, we expect frequency shifts in the quadrupole modes. ⇒ Quadrupole-mode doublets detected ●Insufficient observational constraints to lift configuration degeneracy (e.g. consistent with frequency shift in an aligned dipolar or quadrudipolar field configuration). Predictions full mode depression (see e.g. Mosser et al., 2017) Agreement with expectations from field strength estimates.