标题： 谐振陷阱中两个超冷粒子的反应碰撞 显示英文标题

标题： Reactive collisions of two ultracold particles in a harmonic trap

摘要： 我们考虑两个被限制在球对称谐振陷阱中的超冷粒子，并通过短程处具有吸收边界条件的各向同性势相互作用，该势模拟了反应散射。 首先，我们应用带有复数散射长度的接触伪势，并研究作为散射长度实部和虚部函数的不同陷阱态的本征能量和本征函数的性质。 在所分析的情况下，本征能量取复数值，其虚部可以用作衰减率的解释。 然后我们引入了一个具有吸收边界条件的方势阱模型，随后用于研究相互作用有限范围对陷阱中反应散射性质的影响。 最后，我们假设短程反应概率为1，分析了一些反应性碱基二聚体分子的衰减率。 在这种情况下，复数散射长度由与分子间范德华相互作用平均散射长度相关的普适值给出。 显示英文摘要

摘要： We consider two ultracold particles confined in spherically symmetric harmonic trap and interacting via isotropic potential with absorbing boundary conditions at short range that models reactive scattering. First, we apply the contact pseudopotential with complex scattering length and investigate the properties of eigenergies and eigenfunctions for different trap states as a function of real and imaginary part of the scattering length. In the analyzed case the eigenenergies take complex values, and their imaginary part can be interpreted in terms of decay rates. Then we introduce the model of a square well with absorbing boundary conditions that is later used to investigate the effects of the finite range of interaction on the properties of a reactive scattering in the trap. Finally, we analyze the decay rates for some reactive alkali dimer molecules assuming short-range probability of reaction equal to unity. In this case the complex scattering length is given by universal value related to the mean scattering length of van der Waals interaction between molecules.