Efficient and robust calculation of femtoscopic correlation functions in spherical harmonics directly from the raw pairs measured in heavy-ion collisions

Abstract

We present the formalism for calculating the femtoscopic correlation function directly in spherical harmonics. The numerator and denominator are stored as a set of one-dimensional histograms representing the spherical harmonic decompositions of each. We present the formalism to calculate the correlation function from them directly, without going to any three-dimensional histogram. We discuss the practical implementation of the method and we provide an example of its use. We also discuss the stability of the method in the presence of $\theta$-$\varphi$ holes in the underlying data (e.g. from experimental acceptance).

7 pages, 4 figures, submitted to Phys. Rev. C

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• Global Conservation Laws and Femtoscopy of Small Systems
• Imaging Three Dimensional Two-particle Correlations for Heavy-Ion Reaction Studies
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