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Formation of double-$Λ$ hypernuclei at PANDA

We study the formation of single- and double-$Λ$ hypernuclei in antiproton-induced reactions relevant for the forthcoming PANDA experiment at FAIR. We use the Giessen Boltzmann-Uehling-Uhlenbeck (GiBUU) transport model with relativistic mean-fields for the description of non-equilibrium dynamics and the statistical multifragmentation model (SMM) for fragment formation. This combined approach describes the dynamical properties of strangeness and fragments in low energy $\bar{p}$-induced reactions fairly well. We then focus on the formation of double-$Λ$ hypernuclei in high energy $\bar{p}$-nucleus collisions on a primary target including the complementary $Ξ$-induced reactions to a secondary one, as proposed by the PANDA collaboration. Our results show that a copious production of double-$Λ$ hyperfragments is possible at PANDA. In particular, we provide first theoretical estimations on the double-$Λ$ production cross section, which strongly rises with decreasing energy of the secondary $Ξ$-beam.