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Using non-relativistic effective field theory, we derive a three-particleanalog of the Lellouch-L\"uscher formula at the leading order. This formularelates the three-particle decay amplitudes in a finite volume with theirinfinite-volume counterparts and, hence, can be used to study thethree-particle decays on the lattice. The generalization of the approach tohigher orders is briefly discussed.

On the three-particle analog of the Lellouch-L\"uscher formula