Applying the relativistic quantization condition to a three-particle bound state in a periodic box

Abstract

Using our recently developed relativistic three-particle quantization condition, we study the finite-volume energy shift of a spin-zero three-particle bound state. We reproduce the result obtained using non-relativistic quantum mechanics by Meissner, Rios and Rusetsky, and generalize the result to a moving frame.

20 pages, no figures, v2: fixed issues with special characters in references, v3: minor rewording, version appearing in PRD

References in corpus (3)

• A relativistic, model-independent, three-particle quantization condition
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates

Cited by in corpus (4)

• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• Three-body Unitarity in the Finite Volume
• Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
• Progress on the three-particle quantization condition