Two heavy impurities immersed in light few-boson systems with noninteger dimensions

Abstract

We investigate the spectrum and structure of two heavy bosonic impurities immersed in a light boson system with noninteger dimensions $D$ by means of the Born-Oppenheimer approximation. The ratio between the energies of two consecutive many-body bound states, which follows an Efimov-type geometrical scaling law when the heavy-light pair has a resonant $s$-wave interaction, is found to be a function of the mass asymmetry, number of light bosons, and effective dimension $D$. Furthermore, the wave function is computed, and its behavior is explored for different system configurations. To exemplify our results, we consider mixtures of two heavy cesium atoms interacting with up to two lithium atoms, which are systems of current experimental interest.