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We report on the first realization of sub-Doppler laser cooling of 39K atoms using degenerate 3D Raman sideband cooling. We take advantage of the well-resolved excited hyperfine states on the D1 optical transition to produce spin polarized samples with atoms at temperatures of 1.8 K. The phase-space densities are , which significantly improves the initial conditions for a subsequent evaporative cooling step. The presented cooling technique using the D1 line can be adapted to other atomic species and is applicable to high-resolution imaging schemes in far off-resonant optical lattices.

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