Source function from two-particle correlation function through entropy-regularized Richardson-Lucy deblurring
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915150541357056 |
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| author | Tam, C. K. Chajęcki, Z. Danielewicz, P. Nzabahimana, P. |
| author_facet | Tam, C. K. Chajęcki, Z. Danielewicz, P. Nzabahimana, P. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09478 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Source function from two-particle correlation function through entropy-regularized Richardson-Lucy deblurring Tam, C. K. Chajęcki, Z. Danielewicz, P. Nzabahimana, P. Nuclear Theory 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. |
| title | Source function from two-particle correlation function through entropy-regularized Richardson-Lucy deblurring |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2502.09478 |