由$^{10}$ Be/ $^9$ Be数据确定晕尺寸$L$
A simple determination of the halo size $L$ from $^{10}$Be/$^9$Be data
摘要：
AMS-02和HELIX实验不久将提供前所未有的精确度的$\mathrm{^{10}Be/^9Be}$宇宙射线数据。我们提出了一个分析公式，以快速，准确地确定$L$从这些数据。我们的公式验证了对传播代码\usine{}执行的完整计算。我们比较的约束$L$设置的Be/B和$\mathrm{^{10}Be/^9Be}$，依赖于更新的生产截面集。当使用更新的截面时，AMS-02 Be/B数据的最佳拟合$L$从5 kpc移动到3.8 kpc。用USINE、$L=3.8^{+2.8}_{-1.6}$ kpc（数据和截面不确定度）和用简化公式、$L=4.7\pm0.6$（数据不确定度）$\pm2$（截面不确定度）kpc分析$\mathrm{^{10}Be/^9Be}$数据，得到了一致的结果。分析公式表明，由于未来的数据对$L$的改进将受到生产截面不确定性的限制，除非将$\mathrm{^{10}Be/^9Be}$测量扩展到几十GeV/n，或者改进生产$\mathrm{^{10}Be}$和$\mathrm{^9Be}$的核数据;特别需要$\mathrm{^{16}O}$到Be同位素的生产截面的新数据。
英文摘要：
The AMS-02 and HELIX experiments should soon provide $\mathrm{^{10}Be/^9Be}$ cosmic-ray data of unprecedented precision. We propose an analytical formula to quickly and accurately determine $L$ from these data. Our formula is validated against the full calculation performed with the propagation code \usine{}. We compare the constraints on $L$ set by Be/B and $\mathrm{^{10}Be/^9Be}$, relying on updated sets of production cross-sections. The best-fit $L$ from AMS-02 Be/B data is shifted from 5 kpc to 3.8 kpc when using the updated cross-sections. We obtained consistent results from the Be/B analysis with USINE, $L=3.8^{+2.8}_{-1.6}$ kpc (data and cross-section uncertainties), and from the analysis of $\mathrm{^{10}Be/^9Be}$ data with the simplified formula, $L=4.7\pm0.6$ (data uncertainties) $\pm2$ (cross-section uncertainties) kpc. The analytical formula indicates that improvements on $L$ thanks to future data will be limited by production cross-section uncertainties, unless either $\mathrm{^{10}Be/^9Be}$ measurements are extended up to several tens of GeV/n, or nuclear data for the production of $\mathrm{^{10}Be}$ and $\mathrm{^9Be}$ are improved; new data for the production cross-section of $\mathrm{^{16}O}$ into Be isotopes above a few GeV/n are especially desired.
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