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We have demonstrated the resonant control of the elastic scattering crosssections in the vicinity of Feshbach resonances between $^{23}$Na$^{40}$Kmolecules and $^{40}$K atoms by studying the thermalization between them. Theelastic scattering cross sections vary by more than two orders of magnitudeclose to the resonance, and can be well described by an asymmetric Fanoprofile. The parameters that characterize the magnetically tunable s-wavescattering length are determined from the elastic scattering cross sections.The observation of resonantly controlled elastic scattering cross sectionsopens up the possibility to study strongly interacting atom-molecule mixturesand improve our understanding of the complex atom-molecule Feshbach resonances.

Resonant control of elastic collisions between $^{23}$Na$^{40}$K molecules and $^{40}$K atoms