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

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

2009-01-22

arxiv.org/abs/0901.3527v3

Phys.Rev.C80:064911,2009

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.80.064911

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 $\theta$-$\phi$ holes in the underlying data (e.g. from experimental acceptance).

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