Sub-Inertial Gravity Modes in the B8V Star KIC 7760680 Reveal Moderate Core Overshooting and Low Vertical Diffusive Mixing

Abstract

KIC 7760680 is so far the richest slowly pulsating B star, by exhibiting 36 consecutive dipole ($\ell =1$) gravity (g-) modes. The monotonically decreasing period spacing of the series, in addition to the local dips in the pattern confirm that KIC 7760680 is a moderate rotator, with clear mode trapping in chemically inhomogeneous layers. We employ the traditional approximation of rotation to incorporate rotational effects on g-mode frequencies. Our detailed forward asteroseismic modelling of this g-mode series reveals that KIC 7760680 is a moderately rotating B star with mass $\sim 3.25$ M${}_{\odot }$. By simultaneously matching the slope of the period spacing, and the number of modes in the observed frequency range, we deduce that the equatorial rotation frequency of KIC 7760680 is 0.4805 day${}^{-1}$, which is 26\% of its Roche break up frequency. The relative deviation of the model frequencies and those observed is less than one percent. We succeed to tightly constrain the exponentially-decaying convective core overshooting parameter to $f_{\mathrm{ov}}\approx 0.024\pm 0.001$. This means that convective core overshooting can coexist with moderate rotation. Moreover, models with exponentially-decaying overshoot from the core outperform those with the classical step-function overshoot. The best value for extra diffusive mixing in the radiatively stable envelope is confined to $\log D_{\mathrm{ext}}\approx 0.75\pm 0.25$ (with $D_{\mathrm{ext}}$ in cm${}^2$ sec${}^{-1}$), which is notably smaller than theoretical predictions.

arXiv comment12 Figures, 2 Tables, all data publicly available for download; accepted for publication in Astrophysical Journal

References in corpus (69)

• The chemical composition of the Sun
• Modules for Experiments in Stellar Astrophysics (MESA)
• Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
• Modules for Experiments in Stellar Astrophysics (MESA): Binaries, Pulsations, and Explosions
• Mass-loss predictions for O and B stars as a function of metallicity
• Presupernova Evolution of Rotating Massive Stars I: Numerical Method and Evolution of the Internal Stellar Structure
• Presupernova Evolution of Differentially Rotating Massive Stars Including Magnetic Fields
• GYRE: An open-source stellar oscillation code based on a new Magnus Multiple Shooting Scheme
• HERMES: a high-resolution fibre-fed spectrograph for the Mercator telescope
• Present-day cosmic abundances. A comprehensive study of nearby early B-type stars and implications for stellar and Galactic evolution and interstellar dust models
• Up-dated opacities from the Opacity Project
• A Stellar Rotation Census of B Stars: from ZAMS to TAMS
• Internal Gravity Waves in Massive Stars: Angular Momentum Transport
• Probing the properties of convective cores through g modes: high-order g modes in SPB and gamma Doradus stars
• Asteroseismic measurement of surface-to-core rotation in a main sequence A star, KIC 11145123
• The VLT-FLAMES Tarantula Survey XII. Rotational velocities of the single O-type stars
• Hydrodynamical stellar models including rotation, internal gravity waves and atomic diffusion. I. Formalism and tests on Pop I dwarfs
• Tight asteroseismic constraints on core overshooting and diffusive mixing in the slowly rotating pulsating B8.3V star KIC 10526294
• Asteroseismology Can Reveal Strong Internal Magnetic Fields in Red Giant Stars
• On shear-induced turbulence in rotating stars
• Asteroseismic measurement of slow, nearly-uniform surface-to-core rotation in the main sequence F star KIC 9244992
• Transport and mixing in the radiation zones of rotating stars: I-Hydrodynamical processes
• Acoustic oscillations of rapidly rotating polytropic stars. II. Effects of the Coriolis and centrifugal accelerations
• Simulations of core convection in rotating A-type stars: Differential rotation and overshooting
• A prevalence of dynamo-generated magnetic fields in the cores of intermediate-mass stars
• An asteroseismic study of the beta Cephei star theta Ophiuchi: constraints on global stellar parameters and core overshooting
• The VLT-FLAMES Tarantula Survey X: Evidence for a bimodal distribution of rotational velocities for the single early B-type stars
• Kepler observations of variability in B-type stars
• Transport and mixing in the radiation zones of rotating stars II. Axisymmetric magnetic field
• Diagnoses to unravel secular hydrodynamical processes in rotating main sequence stars
• Evidence for nonlinear resonant mode coupling in the Beta Cep star HD 180642 (V1449 Aql) from CoRoT space-based photometry
• Gravito-inertial and pressure modes detected in the B3 IV CoRoT target HD 43317
• Self-consistent 2D models of fast rotating early-type star
• Beyond Mixing-length Theory: a step toward 321D
• The two hybrid B-type pulsators: Nu Eridani and 12 Lacertae
• The internal rotation profile of the B-type star KIC10526294 from frequency inversion of its dipole gravity modes and statistical model comparison
• On the Differential Rotation of Massive Main Sequence Stars
• The VLT-FLAMES Tarantula Survey XXI. Stellar spin rates of O-type spectroscopic binaries
• Detecting non-uniform period spacings in the Kepler photometry of gamma Doradus stars: methodology and case studies
• Structural glitches near the cores of red giants revealed by oscillations in g-mode period spacings from stellar models
• Multisite spectroscopic seismic study of the beta Cep star V2052 Oph: inhibition of mixing by its magnetic field
• Gravity modes in rapidly rotating stars. Limits of perturbative methods
• Influence of the Coriolis force on the instability of slowly pulsating B stars
• KIC 10526294: a slowly rotating B star with rotationally split, quasi-equally spaced gravity modes
• Toward a consistent use of overshooting parametrizations in 1D stellar evolution codes
• Asteroseismic fingerprints of rotation and mixing in the slowly pulsating B8 V star KIC 7760680
• Testing the effects of opacity and the chemical mixture on the excitation of pulsations in B stars of the Magellanic Clouds
• Confronting uncertainties in stellar physics: calibrating convective overshooting with eclipsing binaries
• Kappa-mechanism excitation of retrograde mixed modes in rotating B-type stars
• The Impact of Enhanced Iron Opacity on Massive Star Pulsations: Updated Instability Strips
• The thermohaline, Richardson, Rayleigh-Taylor, Solberg-Hoiland, and GSF criteria in rotating stars
• Impact of rotation on stochastic excitation of gravity and gravito-inertial waves in stars
• Angular momentum transport by internal gravity waves III - Wave excitation by core convection and the Coriolis effect
• Unstable quasi g-modes in rotating main-sequence stars
• Asymptotic theory of gravity modes in rotating stars. I. Ray dynamics
• Using seismic inversions to obtain an internal mixing processes indicator for main-sequence solar-like stars
• Angular momentum transport by stochastically excited oscillations in rapidly rotating massive stars
• Fingering convection induced by atomic diffusion in stars: 3D numerical computations and applications to stellar models
• Turbulent convection model in the overshooting region: II. Theoretical analysis
• Convective overshoot mixing in stellar interior models
• Theory of stellar convection: Removing the Mixing-Length Parameter
• CoRoT high-precision photometry of the B0.5 IV star HD 51756
• The Properties of G-modes in Layered Semi-Convection
• Stability of g-modes in rotating B-type stars
• Weak magnetic field, solid-envelope rotation, and wave-induced N-enrichment in the SPB star $\zeta$ Cassiopeiae
• Visibility of unstable oscillation modes in a rapidly rotating B star
• A simple scheme to implement a nonlocal turbulent convection model for the convective overshoot mixing
• Theory of stellar convection II: first stellar models
• Pulsation-driven mean zonal and meridional flows in rotating massive stars

Cited by in corpus (113)

• Probing the interior physics of stars through asteroseismology
• Angular Momentum Transport in Stellar Interiors
• The interior rotation of a sample of gamma Doradus stars from ensemble modelling of their gravity mode period spacings
• Internal mixing of rotating stars inferred from dipole gravity modes
• Signatures of internal rotation discovered in the Kepler data of five slowly pulsating B stars
• A Systematic Survey of the Effects of Wind Mass Loss Algorithms on the Evolution of Single Massive Stars
• Heartbeat Stars, Tidally Excited Oscillations, and Resonance Locking
• On the sensitivity of gravito-inertial modes to differential rotation in intermediate-mass main-sequence stars
• Variability of OB stars from TESS southern Sectors 1-13 and high-resolution IACOB and OWN spectroscopy
• The dependence of convective core overshooting on stellar mass: Additional binary systems and improved calibration
• Photometric detection of internal gravity waves in upper main-sequence stars. II. Combined TESS photometry and high-resolution spectroscopy
• Forward asteroseismic modeling of stars with a convective core from gravity-mode oscillations: parameter estimation and stellar model selection
• Asteroseismic modelling of the two F-type hybrid pulsators KIC10080943A and KIC10080943B
• The shape of convective core overshooting from gravity-mode period spacings
• On the Chemical Mixing Induced by Internal Gravity Waves (IGW)
• The dependence of convective core overshooting on stellar mass: semi-empirical determination using the diffusive approach with two different element mixtures
• The mass discrepancy in intermediate- and high-mass eclipsing binaries: the need for higher convective core masses
• Asteroseismic masses, ages, and core properties of $\gamma$ Doradus stars using gravito-inertial dipole modes and spectroscopy
• Forward seismic modelling of the pulsating magnetic B-type star HD 43317
• Diverse Variability of O and B Stars Revealed from 2-minute Cadence Light Curves in Sectors 1 and 2 of the TESS Mission: Selection of an Asteroseismic Sample
• The dependence of convective core overshooting on stellar mass: reality check, and additional evidence
• The interior angular momentum of core hydrogen burning stars from gravity-mode oscillations
• Beyond the Kepler/K2 bright limit: variability in the seven brightest members of the Pleiades
• Evolution of accretor stars in massive binaries: broader implications from modeling ζ Ophiuchi
• KIC 3240411 - the hottest known SPB star with the asymptotic g-mode period spacing
• On the formation of PSR J1640+2224: a neutron star born massive?
• Tidal Dissipation in WASP-12
• Constraining stellar evolution theory with asteroseismology of $\gamma$ Doradus stars using deep learning
• Binary Asteroseismic Modelling: isochrone-cloud methodology and application to Kepler gravity-mode pulsators
• Probing the temperature gradient in the core boundary layer of stars with gravito-inertial modes: the case of KIC7760680
• Domains of pulsational instability of low-frequency modes in rotating upper main-sequence stars
• Convective core entrainment in 1D main sequence stellar models
• Probing the shape of the mixing profile and of the thermal structure at the convective core boundary through asteroseismology
• Period spacings of gravity modes in rapidly rotating magnetic stars I. Axisymmetric fossil field with poloidal and toroidal components
• Variability of newly identified B-type stars observed by Kepler
• A model of rotating convection in stellar and planetary interiors: I - convective penetration
• Convective core sizes in rotating massive stars: I. Constraints from solar metallicity OB field stars
• K2 space photometry reveals rotational modulation and stellar pulsations in chemically peculiar A and B stars
• Kepler sheds new and unprecedented light on the variability of a blue supergiant: gravity waves in the O9.5Iab star HD 188209
• Rejuvenated accretors have less bound envelopes: Impact of Roche lobe overflow on subsequent common envelope events
• Convective boundary mixing in main-sequence stars: theory and empirical constraints
• Period spacings of gravity modes in rapidly rotating magnetic stars II. The case of an oblique dipolar fossil magnetic field
• Detecting axisymmetric magnetic fields using gravity modes in intermediate-mass stars
• The CubeSpec space mission. I. Asteroseismology of massive stars from time series optical spectroscopy: science requirements and target list prioritisation
• Convective boundary mixing in a post-He core burning massive star model
• Accelerated Tidal Circularization Via Resonance Locking in KIC 8164262
• Detection of nonlinear resonances among gravity modes of slowly pulsating B stars: results from five iterative prewhitening strategies
• Calibrating Core Overshooting Parameters With Two-dimensional Hydrodynamical Simulations
• Asteroseismic modeling of gravity modes in slowly rotating A/F stars with radiative levitation
• High-precision asteroseismology in Slowly Pulsating B star: HD 50230
• A comparison of the dynamical and model-derived parameters of the pulsating eclipsing binary KIC9850387
• Internal rotation and inclinations of slowly pulsating B stars: Evidence of interior angular momentum transport
• Isochrone-cloud fitting of the extended Main-Sequence Turn-Off of young clusters
• Probing core overshooting using subgiant asteroseismology: the case of KIC10273246
• Deep Learning Applied to the Asteroseismic Modeling of Stars with Coherent Oscillation Modes
• A homogeneous spectroscopic analysis of a Kepler legacy sample of dwarfs for gravity-mode asteroseismology
• New $\beta$ Cep pulsators discovered with K2 space photometry
• Astrophysical properties of 15062 Gaia DR3 gravity-mode pulsators: pulsation amplitudes, rotation, and spectral line broadening
• Predictions for gravity-mode periods and surface abundances in intermediate-mass dwarfs from shear mixing and radiative levitation
• Seismic modeling of a very young SPB star -- KIC8264293
• The effects of near-core convective shells on the gravity modes of the subdwarf B pulsator KIC 10553698A
• Asteroseismology of hybrid $\delta$ Scuti--$\gamma$ Doradus pulsating stars
• A model of rotating convection in stellar and planetary interiors: II -- gravito-inertial wave generation
• Rossby numbers and stiffness values inferred from gravity-mode asteroseismology of rotating F- and B-type dwarfs: consequences for mixing, transport, magnetism, and convective penetration
• The effect of the centrifugal acceleration on period spacings of gravito-inertial modes in intermediate-mass stars
• Magnetic characterization of the SPB/$\beta$ Cep hybrid pulsator HD 43317
• Period spacing of gravity modes strongly affected by rotation. Going beyond the traditional approximation
• A Mass-accreting Gamma Doradus Pulsator with a Synchronized Core in Kepler Eclipsing Binary KIC 7385478
• Photometric detection of internal gravity waves in upper main-sequence stars. III. Comparison of amplitude spectrum fitting and Gaussian process regression using celerite2
• Internal rotation and buoyancy travel time of 60 gamma Doradus stars from uninterrupted TESS light curves spanning 352 days
• Multidimensional low-Mach number time-implicit hydrodynamic simulations of convective helium shell burning in a massive star
• Mixed Mode Asteroseismology of Red Giant Stars Through the Luminosity Bump
• Combined asteroseismology, spectroscopy, and astrometry of the CoRoT B2V target HD 170580
• Characterization of the variability in the O+B eclipsing binary HD 165246
• The traditional approximation of rotation for rapidly rotating stars and planets. II. Deformation and differential rotation
• Enhanced Rotational Mixing in the Radiative Zones of Massive Stars
• Synergies between Asteroseismology and Three-dimensional Simulations of Stellar Turbulence
• A comprehensive study of young B stars in NGC 2264: I. Space photometry and asteroseismology
• Period-luminosity relations of fast-rotating B-type stars in the young open cluster NGC3766
• Analysis of high-resolution FEROS spectroscopy for a sample of variable B-type stars assembled from TESS photometry
• Asteroseismology of $\beta$ Cephei stars: The stellar inferences tested in hare and hound exercises
• Modelling of the B-type binaries CW Cep and U Oph: A critical view on dynamical masses, core boundary mixing, and core mass
• A new C-D-like diagram for SPB stars: The variations of period spacing as a signature of evolutionary status
• Detection of intrinsic variability in the eclipsing massive main sequence O+B binary HD 165246
• Pulsational properties of ten new slowly pulsating B stars
• Constraining the near-core rotation of the gamma Doradus star 43 Cygni using BRITE-Constellation data
• The ESO UVES/FEROS Large Programs of TESS OB pulsators. I. Global stellar parameters from high-resolution spectroscopy
• Misclassified B stars in the Kepler field
• Helioseismic inference of the solar radiative opacity
• The Kepler Smear Campaign: Light curves for 102 Very Bright Stars
• Semi-Analytical Expression of G-Mode Period Spacing: The Case of Brunt-Väisälä Frequency with Not a Jump But a Ramp
• Mode coupling coefficients between the convective core and radiative envelope of $\gamma$Doradus and slowly pulsating B stars
• Asteroseismic investigation on KIC 10526294 to probe convective core overshoot mixing
• A catalog of new slowly pulsating B-type stars
• Non-linear Three-mode Coupling of Gravity Modes in Rotating Slowly Pulsating B Stars: Stationary Solutions and Modeling Potential
• Rotational and pulsational variability in the TESS light curve of HD27463
• MOCKA -- A PLATO mock asteroseismic catalogue: Simulations for gravity-mode oscillators
• Weighing stars from birth to death: mass determination methods across the HRD
• The evolutionary and asteroseismic imprints of mass accretion. The 10 M${}_{\odot }$ $\beta$ Cep case study
• Mixing due to internal gravity waves can explain the CNO surface abundances of B-type detached eclipsing binaries and single stars
• Deciphering the period spacing pattern in the oscillation spectrum of the SPB star KIC 7760680
• Study of a Sample of Faint Be Stars in the Exofield of CoRoT. Part III. Global Spectroscopic Characterization and Astrophysical Parameters of the Central Stars
• Asteroseismology and Buoyancy Glitch Inversion with Fourier Spectra of Gravity Mode Period Spacings
• On the Geometry of the Near-Core Magnetic Field in Massive Stars
• Photometric determination of rotation axis inclination, rotation rate, and mass of rapidly rotating intermediate-mass stars
• Asteroseismic Constraints on the Models of Hot B Subdwarfs: Convective Helium-Burning Cores
• Suppression of lithium depletion in young low-mass stars from fast rotation
• Insights from Asteroseismology of Massive Stars: The Need for Additional Angular Momentum Transport Mechanisms
• One size does not fit all: Evidence for a range of mixing efficiencies in stellar evolution calculations
• The effect of near-core mixing on rejuvenation and the asteroseismic properties of massive accretors
• Towards a systematic treatment of observational uncertainties in forward asteroseismic modelling of gravity-mode pulsators
• On the diversity of mixing and helium core masses of B-type dwarfs from gravity-mode asteroseismology
• Seismic diagnosis from gravity modes strongly affected by rotation