标题： 四体问题和准一维冷费米气体中的BEC-BCS跃迁 显示英文标题

标题： Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas

摘要： 四体问题对于相互作用的两组分费米气体在受限的准一维几何中被解析求解，其中两体原子-原子散射长度$a_{aa}$显示出受限诱导共振。 我们计算了二聚体-二聚体散射长度$a_{dd}$，并表明这一量完全决定了相关玻色子二聚体的BEC-BCS跃迁现象的多体解。 显示英文摘要

摘要： 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.