Abstract
The system of four identical bosons is studied using momentum-space equations for the four-particle transition operators. Positions, widths and existence limits of universal unstable tetramers are determined with high accuracy. Their effect on the atom-trimer and dimer-dimer scattering observables is discussed. We show that a universal shallow tetramer intersects the atom-trimer threshold twice leading to resonant effects in ultracold atom-trimer collisions.
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