Constraining the pΛ interaction from a combined analysis of scattering data and correlation functions

This work provides the first combined analysis of low-energy p$\mathrm{\Lambda }$ scattering, considering both cross section and correlation data. The obtained results establish the most stringent constraints to date on the two-body p$\mathrm{\Lambda }$ interaction, pointing to a weaker attraction than so far accepted. The best set of scattering lengths for the spin singlet and triplet are found to range from $f_0,f_1=(2.1,1.56)$ to $(3.34,1.18)$fm. With a chiral NY potential fine-tuned to those scattering parameters, the in-medium properties of the $\mathrm{\Lambda }$ are explored and a potential depth of $U_{\mathrm{\Lambda }}=-36.3\pm 1.3{(\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t})}_{-6.2}^{+2.5}(\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t})$ MeV is found at nuclear matter saturation density.