The interaction between deuterons ($d\text{−}d$) is pivotal for understanding the characteristics of certain light nuclei from the perspective of the deuteron cluster and achieving a precise reproduction of $d\text{−}d$ fusion cross sections. In this work, we construct a set of elastic $d\text{−}d$ 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 $d\text{−}d$ phase shifts and the correlation functions are internally consistent, confirming that correlation functions can provide a cross-check for the $d\text{−}d$ 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.

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• Few-body systems
• Nuclear forces
• Relativistic heavy-ion collisions
• Strong interaction