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arXiv 1802.04550astro-ph.SR
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低质量和极低质量恒星半径的理论不确定性

Theoretical uncertainties on the radius of low- and very-low mass stars

E. Tognelli, P. G. Prada Moroni, S. Degl'Innocenti

摘要:

我们进行了一个主要的理论不确定性,影响目前的恒星模型预测的低质量和极低质量恒星的半径的分析。我们集中在质量范围为0.1- 1 Msun的恒星上,在零年龄主序(ZAMS)和1,2和5 Gyr等时线上。首先,我们量化了几个量的不确定性对半径的影响,即状态方程,辐射不透明度,大气模型,对流效率和初始化学成分。然后,我们计算了累积半径误差条纹,通过将由于所有分析量而引起的半径变化相加而获得。总的趋势是半径不确定度随恒星质量的增大而增大。对于ZAMS结构,极低质量恒星的累积误差条纹约为$\pm 2$和$\pm 3$ %,而在较大质量时,它增加到$\pm 4$和$\pm 5$ %。如果考虑等时线,半径的不确定性变得更大,并且与年龄有关,在5 Gyr年龄时,$M\sim 1$ Msun达到约$+12(-15)$ %。我们还研究了在固定光度下的半径不确定性。在这种情况下,ZAMS和等时线模型的累积误差带是相同的,其范围从大约$\pm 4$百分比到$+7$和$+9$($-5$)百分比。我们还表明,唯一的化学成分的不确定性在确定半径误差条纹中起着重要的作用,产生的半径变化范围约为$\pm 1$和$\pm 2$百分比之间的ZAMS模型与固定质量和约$\pm 3$和$\pm 5$百分比在一个固定的光度。

英文摘要:

We performed an analysis of the main theoretical uncertainties that affect the radius of low- and very-low mass-stars predicted by current stellar models. We focused on stars in the mass range 0.1-1Msun, on both the zero-age main-sequence (ZAMS) and on 1, 2 and 5 Gyr isochrones. First, we quantified the impact on the radius of the uncertainty of several quantities, namely the equation of state, radiative opacity, atmospheric models, convection efficiency and initial chemical composition. Then, we computed the cumulative radius error stripe obtained by adding the radius variation due to all the analysed quantities. As a general trend, the radius uncertainty increases with the stellar mass. For ZAMS structures the cumulative error stripe of very-low mass stars is about $\pm 2$ and $\pm 3$ percent, while at larger masses it increases up to $\pm 4$ and $\pm 5$ percent. The radius uncertainty gets larger and age dependent if isochrones are considered, reaching for $M\sim 1$Msun about $+12(-15)$ percent at an age of 5 Gyr. We also investigated the radius uncertainty at a fixed luminosity. In this case, the cumulative error stripe is the same for both ZAMS and isochrone models and it ranges from about $\pm 4$ percent to $+7$ and $+9$($-5$) percent. We also showed that the sole uncertainty on the chemical composition plays an important role in determining the radius error stripe, producing a radius variation that ranges between about $\pm 1$ and $\pm 2$ percent on ZAMS models with fixed mass and about $\pm 3$ and $\pm 5$ percent at a fixed luminosity.

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