Three-body resonances using slow variable discretization coupled with complex absorbing potential

We are investigating three-body resonances for a model three-particle problem using the slow variable discretization method of Tolstikhin \textit{et al.} [1] coupled with a complex absorbing potential. We compare the results with those of Fedorov \textit{et al.} [2]. We will also present preliminary calculations on Efimov resonances using our method. Efimov states are a universal set of bound trimer states which appear when there is a two-body weakly-bound or virtual state [3]. Bound states of Efimov trimers have been studied in a number of theoretical treatments. Efimov resonances can be viewed as three-body Feshbach resonances that decay into a two-body bound system and a free third body (diatomic molecule + free atom, for example). Recent experimental evidence for Efimov trimers in an ultracold gas of Cs atoms obtained by Kraemer \textit{et al.} [4] has made the study of their resonances especially relevant. [1] O. I. Tolstikhin \textit{et al.}, \textit{J. Phys. B: At. Mol. Opt. Phys.} \textbf{29}, L389 (1996). [2] D. V. Fedorov \textit{et al.}, \textit{Few Body Systems} \textbf{33}, 153 (2003). [3] B. D. Esry \textit{et al.}, \textit{Phys. Rev.} \textbf{A54}, 394 (1996) and references therein. [4] T. Kraemer \textit{et al.}, \underline {arxiv.org/abs/cond-mat/0512394}