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arXiv 1504.02698astro-ph.SR
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锂耗尽边界年龄的累积理论不确定性

Cumulative theoretical uncertainties in lithium depletion boundary age

Emanuele Tognelli, Pier Giorgio Prada Moroni, Scilla Degl'Innocenti

摘要:

我们进行了详细的分析,主要的理论不确定性影响的年龄在锂耗尽边界(LDB)。为了做到这一点,我们计算了近12000个主序前模型,通过改变输入物理,质量在[0.06,0.4] M_sun范围内(核反应截面、等离子体电子屏蔽、外边界条件、状态方程和辐射不透明度)、初始化学元素丰度(总金属丰度、氦和氘丰度以及重元素混合物)和对流效率(混合长度参数,α_ML)。作为第一步,我们研究了这些量在其极值范围内单独变化的影响。然后,我们分析了同时扰动主要输入/参数的影响,而没有先验的独立性假设。这种方法使我们能够第一次建立累积误差带,它定义了理论LDB年龄中最大不确定性区域的边缘。我们发现,累积误差条纹是不对称的,并依赖于所采用的混合长度值。对于α_ML = 1.00,正的相对年龄误差在5%至15%之间,而对于太阳校准的混合长度,不确定性降低到5%至10%,这种误差的很大一部分(约40%)是由于所采用的初始化学元素丰度的不确定性。

英文摘要:

We performed a detailed analysis of the main theoretical uncertainties affecting the age at the lithium depletion boundary (LDB). To do that we computed almost 12000 pre-main sequence models with mass in the range [0.06, 0.4] M_sun by varying input physics (nuclear reaction cross-sections, plasma electron screening, outer boundary conditions, equation of state, and radiative opacity), initial chemical elements abundances (total metallicity, helium and deuterium abundances, and heavy elements mixture), and convection efficiency (mixing length parameter, alpha_ML). As a first step, we studied the effect of varying these quantities individually within their extreme values. Then, we analysed the impact of simultaneously perturbing the main input/parameters without an a priori assumption of independence. Such an approach allowed us to build for the first time the cumulative error stripe, which defines the edges of the maximum uncertainty region in the theoretical LDB age. We found that the cumulative error stripe is asymmetric and dependent on the adopted mixing length value. For alpha_ML = 1.00, the positive relative age error ranges from 5 to 15 per cent, while for solar-calibrated mixing length, the uncertainty reduces to 5-10 per cent. A large fraction of such an error (about 40 per cent) is due to the uncertainty in the adopted initial chemical elements abundances.

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