Deuteron-deuteron interaction and correlation function
Duo-Lun Ge, Zhi-Wei Liu, Jun-Xu Lu, Li‐Sheng Geng
Abstract
The interaction between deuterons ($d\text{\ensuremath{-}}d$) is pivotal for understanding the characteristics of certain light nuclei from the perspective of the deuteron cluster and achieving a precise reproduction of $d\text{\ensuremath{-}}d$ fusion cross sections. In this work, we construct a set of elastic $d\text{\ensuremath{-}}d$ 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 recent measurements by the STAR collaboration. We find that the $d\text{\ensuremath{-}}d$ phase shifts and the correlation functions are internally consistent, confirming that correlation functions can provide a cross-check for the $d\text{\ensuremath{-}}d$ interaction. In addition, both the ${}^{1}{S}_{0}$ bound state and the repulsive ${}^{5}{S}_{2}$ 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.