Study of the Λ–Λ interaction with femtoscopy correlations in and p–Pb collisions at the LHC

This work presents new constraints on the existence and the binding energy of a possible Λ-Λ bound state, the H-dibaryon, derived from Λ-Λ femtoscopic measurements by the ALICE collaboration. The results are obtained from a new measurement using the femtoscopy technique in pp collisions at s√=13 TeV and p-Pb collisions at sNN‾‾‾‾√=5.02 TeV, combined with previously published results from p-Pb collisions at s√=7 TeV. The Λ-Λ scattering parameter space, spanned by the inverse scattering length f−10 and the effective range d0, is constrained by comparing the measured Λ-Λ correlation function with calculations obtained within the Lednicky model. The data are compatible with hypernuclei results and lattice computations, both predicting a shallow attractive interaction, and permit to test different theoretical approaches describing the Λ-Λ interaction. The region in the (f−10,d0) plane which would accommodate a Λ-Λ bound state is substantially restricted compared to previous studies. The binding energy of the possible Λ-Λ bound state is estimated within an effective-range expansion approach and is found to be BΛΛ=3.2+1.6−2.4(stat)+1.8−1.0(syst) MeV.