Collision Properties of Ultracold C133s Atoms

Abstract

We present a theoretical analysis of numerous magnetically tunable Feshbach resonances measured by Chin et al. [preceding Letter, Phys. Rev. Lett. 85, 2717 (2000)] at fields of up to $25\mathrm{mT}$. This analysis provides the most accurate characterization of the collisional properties of ground state Cs atoms currently available and clearly shows, in contrast to previous work, that Bose-Einstein condensation of ${}^{133}\mathrm{Cs}$ cannot be ruled out. The ${X}^{1}{\ensuremath{\Sigma}}_{g}^{+}$ and ${a}^{3}{\ensuremath{\Sigma}}_{u}$ scattering lengths are constrained to $(280\ifmmode\pm\else\textpm\fi{}10){a}_{0}$ and $(2400\ifmmode\pm\else\textpm\fi{}100){a}_{0}$, respectively ( ${1a}_{0}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0.0529177\mathrm{nm}$), and the van der Waals ${C}_{6}$ coefficient to $6890\ifmmode\pm\else\textpm\fi{}35\mathrm{a}.\mathrm{u}.(1\mathrm{a}.\mathrm{u}.\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0.0957345\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}24}\mathrm{J}\ifmmode \dot{}\else \.{}\fi{}{\mathrm{nm}}^{6})$.