Deuteron-deuteron interaction and correlation function

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 set of elastic d-d interactions by fitting the phase shifts using potentials parameterized in aWoods-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-d phase shifts and the correlation functions are internally consistent, confirming that correlation functions can provide a cross-check for the d-d interaction. In addition, both the ¹S₀ bound state and the repulsive ⁵S₂ 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.