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arXiv 1702.02570astro-ph.SR
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演化恒星振荡频率的表面效应修正

Surface-effect corrections for oscillation frequencies of evolved stars

W. H. Ball, L. Gizon

摘要:

类太阳振荡器的精确建模要求对建模模式频率进行校正,以消除因近地表层建模不当而导致的系统偏移,即所谓的表面效应。...我们调查有多少额外的不确定性引入恒星模型参数的表面效应的函数形式的不确定性。与此同时,我们测试是否有任何参数化是显着更好或更差的建模观察到的亚巨星和低光度红巨星。我们模拟开普勒观测到的六颗恒星,显示出清晰的混合模式。我们修复恒星模型的输入物理,并改变表面校正的选择。使用太阳校准幂律校正的模型始终比其他四种校正更差地拟合观测结果。其余四个修正的模型一般都符合...大约同样好,与结合表面校正的球和吉松也许是稍微优越。拟合大致同意在约$2σ$的不确定性的模型参数,修改后的洛伦兹和自由幂律修正之间的差异偶尔超过$3σ$水平。相对于最佳拟合值,恒星质量、半径和年龄的总不确定度分别小于2%、1%和6%。太阳校准的幂律似乎不适合与更先进的类太阳能振荡器一起使用。在剩余的表面修正中,由表面效应引入的模型参数的不确定性大约是这六颗恒星个体拟合的不确定性的两倍。虽然由于我们不确定如何处理表面效应,拟合结果因此有些不确定,但这些结果也表明,模拟亚巨星和低光度红巨星的单个模式频率是可行的。...

英文摘要:

Accurate modelling of solar-like oscillators requires that modelled mode frequencies are corrected for the systematic shift caused by improper modelling of the near-surface layers, known as the surface effect. ... We investigate how much additional uncertainty is introduced to stellar model parameters by our uncertainty about the functional form of the surface effect. At the same time, we test whether any of the parametrizations is significantly better or worse at modelling observed subgiants and low-luminosity red giants. We model six stars observed by Kepler that show clear mixed modes. We fix the input physics of the stellar models and vary the choice of surface correction ... Models using a solar-calibrated power law correction consistently fit the observations more poorly than the other four corrections. Models with the remaining four corrections generally fit ... about equally well, with the combined surface correction by Ball & Gizon perhaps being marginally superior. The fits broadly agree on the model parameters within about the $2σ$ uncertainties, with discrepancies between the modified Lorentzian and free power law corrections occasionally exceeding the $3σ$ level. Relative to the best-fitting values, the total uncertainties on the masses, radii and ages of the stars are all less than 2, 1 and 6 per cent, respectively. A solar-calibrated power law ... appears unsuitable for use with more evolved solar-like oscillators. Among the remaining surface corrections, the uncertainty in the model parameters introduced by the surface effects is about twice as large as the uncertainty in the individual fits for these six stars. Though the fits are thus somewhat less certain because of our uncertainty of how to manage the surface effect, these results also demonstrate that it is feasible to model the individual mode frequencies of subgiants and low-luminosity red giants. ...

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