论文标题
对原始黑洞的广泛二进制约束建模不确定性
Modelling uncertainties in wide binary constraints on primordial black holes
论文作者
论文摘要
具有质量$ M _ {\ rm Co} \ gtrsim 10 m _ {\ odot} $的质量$ m _ {\ rm co} \ gtrsim的深色物质可以受到其对宽二进制恒星的动态影响的约束。由于最近对原始黑洞暗物质的兴趣，我们重新审视了这些约束所涉及的理论建模。我们以几种方式改进了以前的研究。具体而言，我们I）为最初的宽二元半轴轴分布实施了一个出于物理的动机模型，ii）包括未结合的二进制文件，iii）考虑了半马约尔轴和观察到的角度分离之间关系的不确定性。这些效果都倾向于增加预测的广泛二进制数量（对于给定的紧凑型物体种群）。因此，紧凑型对象的光环分数的约束，$ f _ {\ rm co} $，显着削弱。对于最新计算中使用的广泛的二进制样本，我们发现紧凑物品中光晕的暗物质的一部分为$ f _ {\ rm co} <1 $ for $ m _ {\ rm co} \ rm co} \ 300 \ \ 300 \，大约300 \，m _ {\ odot} $，$ m _ co; co} <0.26 $ for $ m _ {\ rm co} \ gtrsim 1000 \，m _ {\ odot} $。
Dark matter in the form of compact objects with mass $M_{\rm co} \gtrsim 10 M_{\odot}$ can be constrained by its dynamical effects on wide binary stars. Motivated by the recent interest in Primordial Black Hole dark matter, we revisit the theoretical modelling involved in these constraints. We improve on previous studies in several ways. Specifically, we i) implement a physically motivated model for the initial wide-binary semi-major axis distribution, ii) include unbound binaries, and iii) take into account the uncertainty in the relationship between semi-major axis and observed angular separation. These effects all tend to increase the predicted number of wide binaries (for a given compact object population). Therefore the constraints on the halo fraction in compact objects, $f_{\rm co}$, are significantly weakened. For the wide binary sample used in the most recent calculation of the constraints, we find the fraction of halo dark matter in compact objects is $f_{\rm co} < 1$ for $M_{\rm co} \approx 300 \, M_{\odot}$, tightening with increasing $M_{\rm co}$ to $f_{\rm co} < 0.26$ for $M_{\rm co} \gtrsim 1000 \, M_{\odot}$.
