A. Kievsky, M. Gattobigio
We investigate universal behavior in elastic atom-dimer scattering below the dimer breakup threshold calculating the atom-dimer effective-range function $ak\cot\delta$. We compare our results with the universal zero-range form deduced by Efimov, $ak\cot\delta=c_1(ka)+c_2(ka)\cot[s_0\ln(a\kappa_*)+\phi(ka)]$, for different values of the two-body scattering length $a$ and of the three-body parameter $\kappa_*$. We observe a good agreement introducing a particular type of finite-range corrections. Furthermore, we show that the same parameterization describes a very different system: nucleon-deuteron scattering below the deuteron breakup threshold. Our analysis reveals a universal behavior that ranges from few-atom systems to few-nucleon systems, and clarifies the nature of the pole structure in the effective-range function of nucleon-deuteron scattering.
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http://arxiv.org/abs/1212.3457
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