Mitigating the mass dependence in the $\Delta \nu$ scaling relation of red-giant stars

Abstract

The masses and radii of solar-like oscillators can be estimated through the asteroseismic scaling relations. These relations provide a direct link between observables, i.e. effective temperature and characteristics of the oscillation spectra, and stellar properties, i.e. mean density and surface gravity (thus mass and radius). These scaling relations are commonly used to characterize large samples of stars. Usually, the Sun is used as a reference from which the structure is scaled. However, for stars that do not have a similar structure as the Sun, using the Sun as a reference introduces systematic errors as large as 10\% in mass and 5\% in radius. Several alternatives for the reference of the scaling relation involving the large frequency separation (typical frequency difference between modes of the same degree and consecutive radial order) have been suggested in the literature. In a previous paper, we presented a reference function with a dependence on both effective temperature and metallicity. The accuracy of predicted masses and radii improved considerably when using reference values calculated from our reference function. However, the residuals indicated that stars on the red-giant branch possess a mass dependence that was not accounted for. Here, we present a reference function for the scaling relation involving the large frequency separation that includes the mass dependence. This new reference function improves the derived masses and radii significantly by removing the systematic differences and mitigates the trend with ${\nu }_{\max }$ (frequency of maximum oscillation power) that exists when using the solar value as a reference.

arXiv comment12 pages, 7 figures, accepted for publication in MNRAS

References in corpus (19)

• The chemical composition of the Sun
• Modules for Experiments in Stellar Astrophysics (MESA)
• Low Temperature Opacities
• Element Diffusion in the Solar Interior
• GYRE: An open-source stellar oscillation code based on a new Magnus Multiple Shooting Scheme
• Testing Scaling Relations for Solar-Like Oscillations from the Main Sequence to Red Giants using Kepler Data
• Asteroseismology of old open clusters with Kepler: direct estimate of the integrated RGB mass loss in NGC6791 and NGC6819
• Stellar Spin-Orbit Misalignment in a Multiplanet System
• Calculating asteroseismic diagrams for solar-like oscillations
• ASTEC -- the Aarhus STellar Evolution Code
• YREC: The Yale Rotating Stellar Evolution Code
• Stellar population synthesis based modelling of the Milky Way using asteroseismology of 13000 Kepler red giants
• Asymptotic and measured large frequency separations
• Testing the Asteroseismic Mass Scale Using Metal-Poor Stars Characterized with APOGEE and Kepler
• Models for Solar Abundance Stars with Gravitational Settling and Radiative Accelerations: Application to M67 and NGC188
• Significantly improving stellar mass and radius estimates: A new reference function for the Δν scaling relation
• Fundamental Parameters of Main-Sequence Stars in an Instant with Machine Learning
• A Bayesian approach to scaling relations for amplitudes of solar-like oscillations in Kepler stars
• Changing the ${\nu }_{\max }$ Scaling Relation: The Need For a Mean Molecular Weight Term

Cited by in corpus (19)

• Asteroseismology of 16000 Kepler Red Giants: Global Oscillation Parameters, Masses, and Radii
• Establishing the accuracy of asteroseismic mass and radius estimates of giant stars. I. Three eclipsing systems at [Fe/H]~ -0.3 and the need for a large high-precision sample
• Oscillating red giants in eclipsing binary systems: empirical reference value for asteroseismic scaling relation
• Stellar ages, masses and radii from asteroseismic modeling are robust to systematic errors in spectroscopy
• The Aarhus red giants challenge II. Stellar oscillations in the red giant branch phase
• Surface effects on the red giant branch
• A seismic scaling relation for stellar age
• An Intermediate-age Alpha-rich Galactic Population in K2
• Explaining Deviations from the Scaling Relationship of the Large Frequency Separation
• Establishing the accuracy of asteroseismic mass and radius estimates of giant stars III. KIC4054905, an eclipsing binary with two 10 Gyr thick disk RGB stars
• Unveiling the Structure and Dynamics of Red Giants with Asteroseismology
• A rapidly evolving high-amplitude $\delta$ Scuti star crossing the Hertzsprung Gap
• Impact of measurement errors on the inferred stellar asteroseismic ages. Statistical models for intermediate age main sequence and red giant branch stars
• Two's a crowd? Characterising the effect of photometric contamination on the extraction of the global asteroseismic parameter ${\nu }_{\text{max}}$ in red-giant binaries
• KIC 2568888: To be or not to be a binary
• Asteroseismology of KIC 8263801:Is it a member of NGC 6866 and a red clump star?
• Constraining dark photon properties with Asteroseismology
• Scaling relations for solar-like oscillations: a review
• Seismic and spectroscopic analysis of 9 bright red giants observed by Kepler