  Considering bosonic atoms immersed in a dilute Fermi gas, we theoretically
investigate medium-induced bosonic clusters associated with fermion-mediated
two- and three-body interactions. Using the variational approach combined with
the fermion-mediated interactions, we numerically calculate the binding
energies 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 repulsive
boson-boson interaction due to the fermion-mediated interactions. Our results
would be relevant for ultracold atomic systems as well as analogue quantum
simulations of alpha clusters in neutron-rich matter.
