Realistic Uncertainties for Fundamental Properties of Asteroseismic Red Giants and the Interplay Between Mixing Length, Metallicity and $ν_{\rm max}$
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2024
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| author | Li, Yaguang Bedding, Timothy R. Huber, Daniel Stello, Dennis van Saders, Jennifer Zhou, Yixiao Crawford, Courtney L. Joyce, Meridith Li, Tanda Murphy, Simon J. Sreenivas, K. R. |
| author_facet | Li, Yaguang Bedding, Timothy R. Huber, Daniel Stello, Dennis van Saders, Jennifer Zhou, Yixiao Crawford, Courtney L. Joyce, Meridith Li, Tanda Murphy, Simon J. Sreenivas, K. R. |
| contents | Asteroseismic modelling is a powerful way to derive stellar properties. However, the derived quantities are limited by built-in assumptions used in stellar models. This work presents a detailed characterisation of stellar model uncertainties in asteroseismic red giants, focusing on the mixing-length parameter $α_{\rm MLT}$, the initial helium fraction $Y_{\rm init}$, the solar abundance scale, and the overshoot parameters. First, we estimate error floors due to model uncertainties to be $\approx$0.4\% in mass, $\approx$0.2\% in radius, and $\approx$17\% in age, primarily due to the uncertain state of $α_{\rm MLT}$ and $Y_{\rm init}$. The systematic uncertainties in age exceed typical statistical uncertainties, suggesting the importance of their evaluation in asteroseismic applications. Second, we demonstrate that the uncertainties from $α_{\rm MLT}$ can be entirely mitigated by direct radius measurements or partially through $ν_{\rm max}$. Utilizing radii from Kepler eclipsing binaries, we determined the $α_{\rm MLT}$ values and calibrated the $α_{\rm MLT}$--[M/H] relation. The correlation observed between the two variables is positive, consistent with previous studies using 1-D stellar models, but in contrast with outcomes from 3-D simulations. Third, we explore the implications of using asteroseismic modelling to test the $ν_{\rm max}$ scaling relation. We found that a perceived dependency of $ν_{\rm max}$ on [M/H] from individual frequency modelling can be largely removed by incorporating the calibrated $α_{\rm MLT}$--[M/H] relation. Variations in $Y_{\rm init}$ can also affect $ν_{\rm max}$ predictions. These findings suggest that $ν_{\rm max}$ conveys information not fully captured by individual frequencies, and that it should be carefully considered as an important observable for asteroseismic modelling. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_09967 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Realistic Uncertainties for Fundamental Properties of Asteroseismic Red Giants and the Interplay Between Mixing Length, Metallicity and $ν_{\rm max}$ Li, Yaguang Bedding, Timothy R. Huber, Daniel Stello, Dennis van Saders, Jennifer Zhou, Yixiao Crawford, Courtney L. Joyce, Meridith Li, Tanda Murphy, Simon J. Sreenivas, K. R. Solar and Stellar Astrophysics Asteroseismic modelling is a powerful way to derive stellar properties. However, the derived quantities are limited by built-in assumptions used in stellar models. This work presents a detailed characterisation of stellar model uncertainties in asteroseismic red giants, focusing on the mixing-length parameter $α_{\rm MLT}$, the initial helium fraction $Y_{\rm init}$, the solar abundance scale, and the overshoot parameters. First, we estimate error floors due to model uncertainties to be $\approx$0.4\% in mass, $\approx$0.2\% in radius, and $\approx$17\% in age, primarily due to the uncertain state of $α_{\rm MLT}$ and $Y_{\rm init}$. The systematic uncertainties in age exceed typical statistical uncertainties, suggesting the importance of their evaluation in asteroseismic applications. Second, we demonstrate that the uncertainties from $α_{\rm MLT}$ can be entirely mitigated by direct radius measurements or partially through $ν_{\rm max}$. Utilizing radii from Kepler eclipsing binaries, we determined the $α_{\rm MLT}$ values and calibrated the $α_{\rm MLT}$--[M/H] relation. The correlation observed between the two variables is positive, consistent with previous studies using 1-D stellar models, but in contrast with outcomes from 3-D simulations. Third, we explore the implications of using asteroseismic modelling to test the $ν_{\rm max}$ scaling relation. We found that a perceived dependency of $ν_{\rm max}$ on [M/H] from individual frequency modelling can be largely removed by incorporating the calibrated $α_{\rm MLT}$--[M/H] relation. Variations in $Y_{\rm init}$ can also affect $ν_{\rm max}$ predictions. These findings suggest that $ν_{\rm max}$ conveys information not fully captured by individual frequencies, and that it should be carefully considered as an important observable for asteroseismic modelling. |
| title | Realistic Uncertainties for Fundamental Properties of Asteroseismic Red Giants and the Interplay Between Mixing Length, Metallicity and $ν_{\rm max}$ |
| topic | Solar and Stellar Astrophysics |
| url | https://arxiv.org/abs/2407.09967 |