Deuteron-Deuteron Interaction and Correlation Function

Fuente: arXiv
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Autori principali: Ge, Duo-Lun, Liu, Zhi-Wei, Lu, Jun-Xu, Geng, Li-Sheng
Natura: Preprint
Pubblicazione: 2025
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author Ge, Duo-Lun
Liu, Zhi-Wei
Lu, Jun-Xu
Geng, Li-Sheng
author_facet Ge, Duo-Lun
Liu, Zhi-Wei
Lu, Jun-Xu
Geng, Li-Sheng
contents The interaction between deuterons ($d$-$d$) is pivotal for understanding the characteristics of certain light nuclei from the perspective of the deuteron cluster and achieving a precise reproduction of $d$-$d$ fusion cross sections. In this work, we construct a new set of elastic $d$-$d$ interactions by fitting the phase shifts using potentials parameterized in a Woods-Saxon shape. Then, the correlation functions are calculated with the obtained potential and compared with the recent measurements by the STAR collaboration. We find that the $d$-$d$ phase shifts and the correlation functions are internally consistent, confirming that correlation functions can provide cross-check for the $d$-$d$ interaction. In addition, both the $^1S_0$ bound state and the repulsive $^5S_2$ interaction contribute to the observed suppression in the measured correlation function. Moreover, we demonstrate that the $P$-wave contribution of the correlation functions cannot be neglected, especially in determining the source size.
format Preprint
id arxiv_https___arxiv_org_abs_2502_18872
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Deuteron-Deuteron Interaction and Correlation Function
Ge, Duo-Lun
Liu, Zhi-Wei
Lu, Jun-Xu
Geng, Li-Sheng
Nuclear Theory
The interaction between deuterons ($d$-$d$) is pivotal for understanding the characteristics of certain light nuclei from the perspective of the deuteron cluster and achieving a precise reproduction of $d$-$d$ fusion cross sections. In this work, we construct a new set of elastic $d$-$d$ interactions by fitting the phase shifts using potentials parameterized in a Woods-Saxon shape. Then, the correlation functions are calculated with the obtained potential and compared with the recent measurements by the STAR collaboration. We find that the $d$-$d$ phase shifts and the correlation functions are internally consistent, confirming that correlation functions can provide cross-check for the $d$-$d$ interaction. In addition, both the $^1S_0$ bound state and the repulsive $^5S_2$ interaction contribute to the observed suppression in the measured correlation function. Moreover, we demonstrate that the $P$-wave contribution of the correlation functions cannot be neglected, especially in determining the source size.
title Deuteron-Deuteron Interaction and Correlation Function
topic Nuclear Theory
url https://arxiv.org/abs/2502.18872