一维和三维Lévy型源函数下Bose-Einstein关联的Coulomb修正
Coulomb Corrections for Bose-Einstein Correlations from One- And Three-Dimensional Lévy-Type Source Functions
AI总结：
本文针对重离子碰撞中Lévy型源函数的Bose-Einstein关联，使用Metropolis--Hastings算法数值计算非球对称Lévy源下的Coulomb修正因子，并与已有处理方法进行比较，以澄清三维Lévy型关联测量中的Coulomb效应。
摘要：
在高能物理的飞米尺度关联研究中，除Bose-Einstein关联外，还必须考虑末态相互作用。其中，对于带电粒子，Coulomb相互作用起着重要作用。近期测量表明，在重离子碰撞中，Bose-Einstein关联可以更好地用Lévy型源描述，而不是更常见的高斯假设。此外，三维测量表明，取决于参考系的选择，在高斯源函数假设下观测到的偏离球对称的现象在Lévy型源情形下依然存在。为了澄清这类三维Lévy型关联测量，研究非球对称Lévy源情形下Coulomb相互作用的影响具有重要意义。我们使用Metropolis--Hastings算法，针对多种运动学区域和参数值，对这种源函数情形下的Coulomb修正因子进行了数值计算，并将结果与已有的在Lévy源存在时处理Coulomb相互作用的方法进行了比较。
英文摘要：
In the study of femtoscopic correlations in high-energy physics, besides Bose--Einstein correlations, one has to take final-state interactions into account. Amongst them, Coulomb interactions play a prominent role in the case of charged particles. Recent measurements have shown that in heavy-ion collisions, Bose--Einstein correlations can be best described by Lévy-type sources instead of the more common Gaussian assumption. Furthermore, three-dimensional measurements have indicated that, depending on the choice of frame, a deviation from spherical symmetry observed under the assumption of Gaussian source functions persists in the case of Lévy-type sources. To clarify such three-dimensional Lévy-type correlation measurements, it is thus important to study the effect of Coulomb interactions in the case of non-spherical Lévy sources. We calculated the Coulomb correction factor numerically in the case of such a source function for assorted kinematic domains and parameter values using the Metropolis--Hastings algorithm and compared our results with previous methods to treat Coulomb interactions in the presence of Lévy sources.
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