基于不同阶帕德近似检验暗物质密度分布
Testing dark matter density profiles based on Padé approximants of different orders
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中文总结 AI 辅助
研究基于不同阶帕德近似检验暗物质密度分布，引入三种参数化与多种模型比较，通过贝叶斯信息准则分析八个星系的旋转曲线数据，发现帕德分布表现良好，虽非普遍最优，但能用于现象学重建旋转曲线，解释暗物质性质。
中文摘要 AI 辅助
我们研究低阶帕德有理函数是否可用作从星系旋转曲线（RCs）模拟暗物质晕的经验密度分布。引入由帕德级数确定的三种参数化，记为Padé 02、Padé 12和Padé 03，并与伪等温、Burkert、Beta、Brownstein、指数球和Persic模型比较。在假设RCs由暗物质主导下对八个星系进行分析，从RC数据推断参数，通过贝叶斯信息准则获得模型的相对统计性能。发现帕德分布表现良好，与其他分布相当，虽非普遍更优。多数星系中传统双参数分布拟合的统计质量相当或更好，在一个特定星系中Padé 03分布给出最低贝叶斯信息准则值。尽管帕德分布在统计上常不如其他模型，但在解释暗物质性质方面看似合理，其经验构建可用于从现象学上重建RCs。
英文摘要
We investigate whether low-order Padé rational functions can be used as empirical density profiles for modeling dark matter halos from galaxy RCs. We introduce three parameterizations determined from Padé series, denoted Padé 02, Padé 12 and Padé 03, and compare them with pseudo-isothermal, Burkert, Beta, Brownstein, exponential-sphere and Persic models. The analysis is performed for eight galaxies under the assumption that RCs are dark matter dominated. The parameters are inferred from RC data and the relative statistical performance of the models is obtained through the Bayesian Information Criterion. We find that the Padé profiles perform well, being comparable with the other profiles, albeit not universally preferred. In most galaxies, conventional two parameter profiles provide fits of comparable or better statistical quality, whereas the clearest improvement occurs for one particular galaxy, where the Padé 03 profile gives the lowest BIC. Even though the Padé profiles are often statistically less strong than other models, they appear plausible in explaining the dark matter nature. Hence, their empirical construction can therefore be used to reconstruct RCs phenomenologically.
