标题： 一种分析紧致谐波波导中原子多通道碰撞的方法 显示英文标题

标题： An analytical approach to atomic multichannel collisions in tight harmonic waveguides

摘要： 我们在广义$K$矩阵理论框架下对允许多个开放散射通道的紧密各向同性和谐波波导中的散射问题进行了分析研究。 探讨了相同玻色子和费米子以及可区分粒子的散射行为，主要关注由不同分波引起的约束诱导共振（CIR）。 特别是我们给出了当考虑准一维系统时出现的单位性界限。 还给出了转换系数的单位性界限，这些界限通过CIR展示了有效横向（去）激发的限制。 我们分析了$d$波的CIR，并发现当存在多个开放通道时会出现强烈的传输抑制现象，这在相应的多粒子系统中是一个有趣的应用领域。 研究了相应的通道阈值奇点，并表明这些奇点仅由分波的对称性类别决定。 显示英文摘要

摘要： We perform an analytical investigation in the framework of generalized $K$ matrix theory of the scattering problem in tight isotropic and harmonic waveguides allowing for several open scattering channels. The scattering behavior is explored for identical bosons and fermions, as well as for distinguishable particles, the main aspect being the confinement-induced resonances (CIR) which are attributed to different partial waves. In particular we present the unitarity bounds which emerge when considering a quasi one dimensional system. Unitarity bounds are also given for the transition coefficients, which show the limitations for efficient transversal (de-)excitations by means of CIRs. We analyze the CIR for $d$-waves and find the intriguing phenomenon of a strong transmission suppression in the presence of more than one open channel, which represents an interesting regime to be applied in the corresponding many-particle systems. The corresponding channel threshold singularities are studied and it is shown that these are solely determined by the symmetry class of the partial wave.