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arXiv 1306.4323astro-ph.SR
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太阳型和红巨星中声振荡的渐近大频率分离的试验

Tests of the asymptotic large frequency separation of acoustic oscillations in solar-type and red giant stars

S. Hekker, Y. Elsworth, S. Basu, A. Mazumdar, V. Silva Aguirre, W. J. Chaplin

摘要:

天文地震学,即通过恒星的全球振荡研究恒星的内部结构,是获得恒星参数,如质量、半径、表面重力和平均密度的宝贵工具。这些参数可以使用基于渐近近似的某些标度关系来获得。通常假设观测到的振荡参数遵循这些标度关系。最近,有人质疑这是否是一个有效的方法,即,所观察到的振荡模式的阶数是否足够高以用渐近理论来近似。在这项工作中,我们使用恒星模型来研究可观测的振荡参数和它们的渐近估计之间的差异是否确实是显着的。我们计算的渐近值直接从恒星模型和绝热脉动计算相同的模型推导出的可观测值。我们发现,在何种程度上包括在模型中的大气是一个关键参数。考虑到大气层在光球层以外的更大范围的延伸,减少了大频率分离的渐近值和可观测值之间的差异。因此,我们的结论是,目前建议的标度关系的差异可能被高估。因此,根据本文提供的结果,我们认为不应在未经仔细考虑的情况下遵循Mosser等人(2013)的建议。

英文摘要:

Asteroseismology, i.e. the study of the internal structures of stars via their global oscillations, is a valuable tool to obtain stellar parameters such as mass, radius, surface gravity and mean density. These parameters can be obtained using certain scaling relations which are based on an asymptotic approximation. Usually the observed oscillation parameters are assumed to follow these scaling relations. Recently, it has been questioned whether this is a valid approach, i.e., whether the order of the observed oscillation modes are high enough to be approximated with an asymptotic theory. In this work we use stellar models to investigate whether the differences between observable oscillation parameters and their asymptotic estimates are indeed significant. We compute the asymptotic values directly from the stellar models and derive the observable values from adiabatic pulsation calculations of the same models. We find that the extent to which the atmosphere is included in the models is a key parameter. Considering a larger extension of the atmosphere beyond the photosphere reduces the difference between the asymptotic and observable values of the large frequency separation. Therefore, we conclude that the currently suggested discrepancies in the scaling relations might have been overestimated. Hence, based on the results presented here we believe that the suggestions of Mosser et al. (2013) should not be followed without careful consideration.

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