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Source functions are obtained from $p$-$p$ and $d$--$\alpha$ 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…

Nuclear Theory · Physics 2025-02-14 C. K. Tam , Z. Chajęcki , P. Danielewicz , P. Nzabahimana

Observables from nuclear and high-energy experiments can be degraded by detector performance and/or methodology in extracting the observables, such as of the final-state characteristics of heavy-ion collisions in relation to a coarsely…

Nuclear Theory · Physics 2022-03-14 Pawel Danielewicz , Mizuki Kurata-Nishimura

The Richardson-Lucy algorithm is applied to reconstruct the three-dimensional source function of identical pions from their two-particle correlation functions. The algorithm's performance is first evaluated through simulations with…

Nuclear Experiment · Physics 2026-03-10 Haojie Zhang , Junhuai Xu , Pengcheng Li , Zhi Qin , Dawei Si , Yijie Wang , Yongjia Wang , Qingfeng Li , Zhigang Xiao

Two-particle correlations play a pivotal role in understanding the space-time characteristics of particle emission in Heavy-ion collisions. These characteristics are typically represented by a relative emission source and can be obtained…

Nuclear Theory · Physics 2025-06-03 Pierre Nzabahimana , Pawel Danielewicz , Giuseppe Verde

Richardson-Lucy deconvolution is widely used to restore images from degradation caused by the broadening effects of a point spread function and corruption by photon shot noise, in order to recover an underlying object. In practice, this is…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Zachary H. Hendrix , Peter T. Brown , Tim Flanagan , Douglas P. Shepherd , Ayush Saurabh , Steve Pressé

The correlation function observed in high-energy collision experiments encodes critical information about the emitted source and hadronic interactions. While the proton-proton interaction potential is well constrained by nucleon-nucleon…

Nuclear Theory · Physics 2025-01-09 Lingxiao Wang , Jiaxing Zhao

We develop the new method of optimized discretization for imaging the relative source from two particle correlation functions. In this method, the source resolution depends on the relative particle separation and is adjusted to available…

Nuclear Theory · Physics 2008-11-26 David A. Brown , Pawel Danielewicz

I review recent progress in the understanding of the connection between the space-time structure of the particle emitting source and the form of the two-particle correlation function in momentum space. Based on a new scheme for calculating…

Nuclear Theory · Physics 2009-10-09 Ulrich Heinz

We investigate two-proton correlation functions for reactions in which fast dynamical and slow evaporative proton emission are both present. In such cases, the width of the correlation peak provides the most reliable information about the…

Nuclear Experiment · Physics 2009-11-07 G. Verde , D. A. Brown , P. Danielewicz , C. K. Gelbke , W. G. Lynch , M. B. Tsang

Measurement of particle emission source is a fundamental objective of femtoscopy in high-energy nuclear collisions. Conventional analyses rely on Gaussian parameterizations of pair emission sources, which makes the extraction of…

High Energy Physics - Phenomenology · Physics 2026-05-26 Liang Zhang , Song Zhang , Kai-Jia Sun , Yu-Gang Ma

For a long time studies of femtoscopic correlations have provided information about space-time characteristics of particle sources in high-energy collisions. Recently, the correlation functions have been also used to determine interaction…

Nuclear Theory · Physics 2026-03-03 Stanislaw Mrowczynski

Using a quadratic saddle-point approximation, we show how information about a particle-emitting source can be extracted from gaussian fits to two-particle correlation data. Although the formalism is completely general, extraction of the…

Nuclear Theory · Physics 2008-11-26 Scott Chapman , J. Rayford Nix , Ulrich Heinz

The effects of resonances and flow on the correlation function for two identical particles are described assuming chaotic sources and classical propagation of particles. Expanding to second order in relative momenta, the source sizes can be…

High Energy Physics - Phenomenology · Physics 2016-09-01 H. Heiselberg

We consider two-particle correlations, which appear in relativistic nuclear collisions due to the quantum statistics of identical particles, in the frame of two formalisms: wave-function and current. The first one is based on solution of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dmitry Anchishkin , Ulrich Heinz

Iterative deblurring, notably the Richardson-Lucy algorithm with and without regularization, is analyzed in the context of nuclear and high-energy physics applications. In these applications, probability distributions may be discretized…

Numerical Analysis · Mathematics 2025-11-05 Sinethemba Neliswa Mamba , Pawel Danielewicz

Measurements of fission fragment mass distributions provide valuable insights into the properties of fissioning systems and the dynamics of the fission process. Pre-neutron emission distributions, essential for fission fragment evaporation…

Nuclear Theory · Physics 2025-12-02 Pierre Nzabahimana , Amy E. Lovell , Patrick Talou

I discuss two-particle intensity interferometry as a method to extract from measured 1- and 2-particle momentum spectra information on the space-time geometry and dynamics of the particle emitting source. Particular attention is given to…

Nuclear Theory · Physics 2007-05-23 Ulrich Heinz

Imaging of sources from data within the intensity interferometry is discussed. In the two-pion case, the relative pion source function may be determined through the Fourier transformation of the correlation function. In the proton-proton…

Nuclear Theory · Physics 2009-10-30 David A. Brown , Pawel Danielewicz

The ability to measure characteristics of source shapes using non-identical particle correlations is discussed. Both strong-interaction induced and Coulomb induced correlations are shown to provide sensitivity to source shapes. By…

Nuclear Theory · Physics 2009-11-11 Scott Pratt

Two-particle correlations are a widely used tool for studying relativistic nuclear collisions. Multiplicity fluctuations comparing charge and particle species have been studied as a possible signal for Quark-Gluon Plasma (QGP) and the QCD…

Nuclear Theory · Physics 2023-01-09 Mary Cody , Sean Gavin , Brendan Koch , Mark Kocherovsky , Zoulfekar Mazloum , George Moschelli
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