(Anti)deuteron production scenarios. Illustration of three scenarios for deuteron production and interaction with pions (left) and the resulting $\pi^{\pm}$$-$${\rm d}$ correlation functions (right). All scenarios include Coulomb attraction between $\pi^-$$-$d (green curves) and Coulomb repulsion between the $\pi^+$--d (red curves). The dashed lines always show the correlation function using Coulomb interaction. Scenarios (i) and (ii) represent thermally-produced deuterons with only Coulomb and Coulomb+elastic+inelastic interactions, respectively. Scenario (iii) depicts deuteron formation via nuclear binding following $\Delta$-resonance decays. All the simulations include the charge conjugates ($\pi^{+}-{\rm d} \equiv \pi^{+}-{\rm d} \oplus$ $\pi^{-}-\bar{\rm d}$ and $\pi^{-}-{\rm d} \equiv \pi^{-}-{\rm d} \oplus$ $\pi^{+}-\bar{\rm d}$). The bands width corresponds to the statistical uncertainties of the models.