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We prepare mixtures of ultracold $^{39}$K atoms in various hyperfine spinstates and $^{23}$Na$^{39}$K molecules in an optical dipole trap at a fixedmagnetic field and study inelastic two-body atom-molecule collisions. Weobserve atom-molecule losses that are hyperfine dependent with a two-body lossrate far below the universal limit. We analyze the two-body loss dynamics basedon the derivation of general and easy applicable analytic solutions for thedifferential equations describing the loss of an arbitrary number $\gamma$ ofparticles in a single collisional event.

Hyperfine dependent atom-molecule loss analyzed by the analytic solution of few-body loss equations