2012/03/31 by J. Jia, Jiangyong Jia, S. Mohapatra +1 · 34 citations
Mathematics · Physics and Astronomy · #Azimuth #Computational physics #Event (particle physics) #Fourier analysis #Fourier series #Fourier transform #Geometry #Glauber #Heavy ion #High-Energy Particle Collisions Research #Ion #Mathematical analysis #Mathematics #Measure (data warehouse) #Monte Carlo method #Optics #Physics #Plane (geometry) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #Statistical Distribution Estimation and Applications #Statistical physics #Statistics #hep-ph #nucl-ex #nucl-th
paper · pdf · doi:10.1140/epjc/s10052-013-2510-y
published in The European Physical Journal C 73(7) (Springer Science+Business Media) · 10 pages, 14 figures
openalex publication_date 2013/07/01 · arxiv created 2013/07/30 · arxiv updated 2013/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A method is proposed to measure the relative azimuthal angle distributions involving two or more event planes of different order in heavy ion collisions using a Fourier analysis technique. The analysis procedure is demonstrated for correlations involving two and three event planes (Φ n , Φ m and Φ h ). The Fourier coefficients of these distributions are found to coincide with previously proposed correlators, such as cos(6Φ 2−6Φ 3) and cos(Φ 1+2Φ 2−3Φ 3) etc., hence the method provides a natural framework for studying these correlators at the same time. Using a Monte Carlo Glauber model to simulate Au+Au collisions with fluctuating initial geometry, we are able to identify several new two- or three-plane correlators that have sizable magnitudes and should be measured experimentally.