Collisional properties of sympathetically cooled $^{39}$K

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We report the experimental evidence of the sympathetic cooling of $^{39}$K with $^{87}$Rb down to 1 $μ$K, obtained in a novel tight confining magnetic trap. This allowed us to perform the first direct measurement of the elastic cross section of $^{39}$K below 50 $μ$K. The result obtained for the triplet scattering length, $a_T = -51(7)$ Bohr radii, agrees with previous results derived from photoassociation spectra and from Feshbach spectroscopy of $^{40}$K.
7 pages, 4 figures, submitted to Phys. Rev. A

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