title: Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas.
abstract: The four-body problem for an interacting two-species Fermi gas is solved analytically in a confined quasi-one-dimensional geometry, where the two-body atom-atom scattering length a(aa) displays a confinement-induced resonance. We compute the dimer-dimer scattering length a(dd) and show that this quantity completely determines the many-body solution of the associated BEC-BCS crossover phenomenon in terms of bosonic dimers.
authors.affiliation: Institut für Theoretische Physik, Heinrich-Heine-Universität, D-40225 Düsseldorf, Germany.
authors.forename: C
authors.initials: C
authors.lastname: Mora
authors.forename: A
authors.initials: A
authors.lastname: Komnik
authors.forename: R
authors.initials: R
authors.lastname: Egger
authors.forename: A O
authors.initials: AO
authors.lastname: Gogolin