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Considering bosonic atoms immersed in a dilute Fermi gas, we theoreticallyinvestigate medium-induced bosonic clusters associated with fermion-mediatedtwo- and three-body interactions. Using the variational approach combined withthe fermion-mediated interactions, we numerically calculate the bindingenergies of two- and three-body bosonic clusters in a one-dimensional system.It is found that the bosonic clusters can be formed even with a repulsiveboson-boson interaction due to the fermion-mediated interactions. Our resultswould be relevant for ultracold atomic systems as well as analogue quantumsimulations of alpha clusters in neutron-rich matter.

Medium-induced bosonic clusters in a Bose-Fermi mixture: Towards simulating cluster formations in neutron-rich matter