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

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 analog quantum simulations of alpha clusters in neutron-rich matter.