The BEC-BCS crossover in ultracold Fermi gases beyond the contact-potential approximation

In this work we apply a theoretical and computational method to the calculation of the observables of 6Li and 40K gases along the crossover from the BCS to the BEC states. This approach – based on the mean-field Bogoliubov-de Gennes equations – enables us to go beyond the Fermi contact interaction that is generally used to study ultracold Fermi gases, and investigate the effect of the finite potential range on the principal observables in these systems. Furthermore, a detailed description of the logical steps and of the ensuing numerical algorithms is discussed.