On the three-particle analog of the Lellouch-Luscher formula

Using non-relativistic effective field theory, we derive a three-particle analog of the Lellouch-Luscher formula at the leading order. This formula relates the three-particle decay amplitudes in a finite volume with their infinite-volume counterparts and, hence, can be used to study the three-particle decays on the lattice. The generalization of the approach to higher orders is briefly discussed.

Automated summary

Through non-relativistic effective field theory, a three-particle analog of the Lellouch-Luscher formula at the leading order has been derived. This formula establishes a connection between three-particle decay amplitudes in a finite volume and their infinite-volume counterparts, making it applicable for lattice studies on three-particle decays. The potential generalization of this approach to higher orders has also been briefly discussed.