Dipolar Bose-Einstein condensate for large scattering length

A uniform dilute Bose gas of known density has a universal behavior as the atomic scattering length tends to infinity at unitarity while most of its properties are determined by a universal parameter $\xi$ relating the energies of the noninteracting and unitary gases. The usual mean-field equation is not valid in this limit and beyond mean-field corrections become important. We use a dynamical model including such corrections to investigate a trapped disk-shaped dipolar Bose-Einstein condensate (BEC) and a dipolar BEC vortex for large scattering length. We study the sensitivity of our results on the parameter $\xi$ and discuss the possibility of extracting the value of this parameter from experimental observables.