The impact of the equation of state (EoS) crust-core matching procedure on neutron star (NS) properties is analyzed within a meta-modeling approach. Using a Taylor expansion to parametrize the core equation of state (EoS) and the SLy4 crust EoS, we create two distinct EoS datasets employing two matching procedures. Each EoS describes cold NS matter in a $\beta$ equilibrium that is thermodynamically stable and causal. It is shown that the crust-core matching procedure affects not only the crust-core transition but also the nuclear matter parameter space of the core EoS, and thus the most probable nuclear matter properties. An uncertainty of as much as 5% (8%) on the determination of low mass NS radii (tidal deformability) is attributed to the complete matching procedure, including the effect on core EoS. By restricting the analysis, imposing that the same set of core EoS is retained in both matching procedures, the uncertainty on the NS radius drops to 3.5% and below 1.5% for $1.9M_{\odot }$. Moreover, under these conditions, the crust-core matching procedure has a strong impact on the Love number $k_2$, of almost 20% for $1.0M_{\odot }$ stars and 7% for $1.9M_{\odot }$ stars, but it shows a very small impact on the tidal deformability $\mathrm{\Lambda }$, below 1%.

中文翻译：

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中子星特性：量化地壳-核匹配程序的影响

在元模型方法中分析了状态方程（EoS）地壳核心匹配程序对中子星（NS）性质的影响。使用泰勒展开对状态核心方程（EoS）和SLy4地壳EoS进行参数化，我们使用两个匹配过程创建了两个不同的EoS数据集。每个EoS在一个$\beta$热力学稳定且因果关系的平衡。结果表明，地壳-核匹配过程不仅影响地壳-核过渡，而且影响核EoS的核物质参数空间，从而影响最可能的核物质性质。确定低质量NS半径（潮汐变形性）的不确定性高达5％（8％），这归因于完整的匹配程序，包括对核心EoS的影响。通过限制分析，假设在两个匹配过程中都保留了相同的核心EoS集，则NS半径的不确定性降低到3.5％，而对于$1.9{\mathrm{中号}}_{\odot }$。而且，在这种情况下，皮壳核的匹配过程对洛夫数有很大的影响。${ķ}_2$，约占20％ $1.0{\mathrm{中号}}_{\odot }$ 星和7％ $1.9{\mathrm{中号}}_{\odot }$ 恒星，但对潮汐变形性影响很小 $\mathrm{\Lambda }$，低于1％。