Source function from two-particle correlation function through entropy-regularized Richardson-Lucy deblurring

Tam, Chi-Kin [Western Michigan University, Kalamazoo, MI (United States)] (ORCID:0000000244634254); Chajęcki, Zbigniew [Western Michigan University, Kalamazoo, MI (United States)] (ORCID:0000000162575166); Danielewicz, Paweł [Michigan State University, East Lansing, MI (United States)] (ORCID:0000000219895241); Nzabahimana, Pierre [Michigan State University, East Lansing, MI (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:000000032253855X)

doi:10.1103/zfly-38pk

DOE OSTI · 3003819

Source function from two-particle correlation function through entropy-regularized Richardson-Lucy deblurring

Tam, Chi-Kin [Western Michigan University, Kalamazoo, MI (United States)] (ORCID:0000000244634254)·Chajęcki, Zbigniew [Western Michigan University, Kalamazoo, MI (United States)] (ORCID:0000000162575166)·Danielewicz, Paweł [Michigan State University, East Lansing, MI (United States)] (ORCID:0000000219895241)·Nzabahimana, Pierre [Michigan State University, East Lansing, MI (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:000000032253855X)

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Abstract

Source functions are obtained from p – p and d – α correlation functions by applying the Richardson-Lucy (RL) deblurring to the Koonin-Pratt (KP) equation. To prevent fitting of noise in the correlation function, total-variation (TV) regularization is employed that has been effective in ordinary image restoration. TV alone cannot ensure normalization of the source functions. To ensure the latter, we propose a maximum-entropy regularized RL algorithm (MEM-RL). We outline the MEM-RL formalism and optimization strategy for the KP equation, demonstrating its effectiveness on both simulated and experimental data, including the p – p and d – α correlation functions.

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62 RADIOLOGY AND NUCLEAR MEDICINE 73 NUCLEAR PHYSICS AND RADIATION PHYSICS Koonin-Pratt equation Koonin-Pratt formula femtoscopy,heavy-ion collisions imaging intermediate energy heavy-ion reactions low relative-velocity correlations particle correlations & fluctuations

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Tam, Chi-Kin [Western Michigan University, Kalamazoo, MI (United States)] (ORCID:0000000244634254), Chajęcki, Zbigniew [Western Michigan University, Kalamazoo, MI (United States)] (ORCID:0000000162575166), Danielewicz, Paweł [Michigan State University, East Lansing, MI (United States)] (ORCID:0000000219895241), Nzabahimana, Pierre [Michigan State University, East Lansing, MI (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:000000032253855X). 2025-08-20. Source function from two-particle correlation function through entropy-regularized Richardson-Lucy deblurring. https://doi.org/10.1103/zfly-38pk

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