Theoretical description of proton-deuteron interactions using exact two-body dynamic of femtoscopic correlation method

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Hauptverfasser: Rzęsa, Wioleta, Stefaniak, Maria, Pratt, Scott
Format: Preprint
Veröffentlicht: 2024
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author Rzęsa, Wioleta
Stefaniak, Maria
Pratt, Scott
author_facet Rzęsa, Wioleta
Stefaniak, Maria
Pratt, Scott
contents Modeling proton-deuteron interactions is particularly challenging. Due the deuteron's large size, the interaction can extend over several femtometers. The degree to which it can be modeled as a two-body problem might also be questioned. One way to study these interactions is through femtoscopic correlation measurements of particle pairs, extracting information using available theoretical models. In this work, we examine two approaches for describing proton-deuteron correlations: the Lednicky-Lyuboshits formalism and full numerical solutions of the Schrodinger equation. Our results show that the differences between these methods are significant. Furthermore, we demonstrate that incorporating higher-order partial waves-particularly p-wave -is the essential for accurately capturing the dynamics of proton-deuteron interactions and the full potential of the strong force.
format Preprint
id arxiv_https___arxiv_org_abs_2410_13983
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Theoretical description of proton-deuteron interactions using exact two-body dynamic of femtoscopic correlation method
Rzęsa, Wioleta
Stefaniak, Maria
Pratt, Scott
Nuclear Theory
Nuclear Experiment
Modeling proton-deuteron interactions is particularly challenging. Due the deuteron's large size, the interaction can extend over several femtometers. The degree to which it can be modeled as a two-body problem might also be questioned. One way to study these interactions is through femtoscopic correlation measurements of particle pairs, extracting information using available theoretical models. In this work, we examine two approaches for describing proton-deuteron correlations: the Lednicky-Lyuboshits formalism and full numerical solutions of the Schrodinger equation. Our results show that the differences between these methods are significant. Furthermore, we demonstrate that incorporating higher-order partial waves-particularly p-wave -is the essential for accurately capturing the dynamics of proton-deuteron interactions and the full potential of the strong force.
title Theoretical description of proton-deuteron interactions using exact two-body dynamic of femtoscopic correlation method
topic Nuclear Theory
Nuclear Experiment
url https://arxiv.org/abs/2410.13983