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

Fabian Müller, Akaki Rusetsky

2021Journal of High Energy Physics26 citationsDOIOpen Access PDF

Abstract

A bstract Using non-relativistic effective field theory, we derive a three-particle analog of the Lellouch-Lüscher 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.

Topics & Concepts

PhysicsGeneralizationAmplitudeField (mathematics)Mathematical physicsField theory (psychology)Quantum electrodynamicsTheoretical physicsQuantum field theoryVolume (thermodynamics)Quantum and Classical ElectrodynamicsQuantum Chromodynamics and Particle InteractionsAtomic and Molecular Physics
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