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

    Chi-Kin Tam* and Zbigniew Chajęcki

    Paweł Danielewicz

    Pierre Nzabahimana

    • *Contact author: chikin.tam@wmich.edu

    Phys. Rev. C 112, 024613 – Published 20 August, 2025

    DOI: https://doi.org/10.1103/zfly-38pk

    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 the fitting of noise in the correlation function, total-variation (TV) regularization is employed, which has been effective in ordinary image restoration. TV alone cannot ensure the 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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