The correlation function of p$-$p (left) and p$-\Lambda$ (right) as a function of $k^*$ in one exemplary $m_{\rm T}$ interval. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The filled bands depict $1\sigma$ uncertainties of the fits with $C_{\mathrm{\rm{fit}}}(k^*)$ and are obtained by using the Argonne $v_{18}$  (blue), $\chi$EFT LO  (green) and $\chi$EFT NLO  (red) potentials. See text for details.