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arXiv:1609.04317·v3·High Energy Physics — Lattice

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

Maxwell T. Hansen🇩🇪 · Stephen R. Sharpe🇺🇸

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.

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

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