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Three-body unitarity versus finite-volume π^+π^+π^+ spectrum from lattice QCD

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arxiv 1909.05749 v1 pith:BV4RQ4CA submitted 2019-09-12 hep-lat nucl-th

Three-body unitarity versus finite-volume π^+π^+π^+ spectrum from lattice QCD

classification hep-lat nucl-th
keywords three-bodylatticedynamicsfinite-volumespectrumsystemsunitarityab-initio
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Strong three-body interactions above threshold govern the dynamics of many exotics and conventional excited mesons and baryons. Three-body finite-volume energies calculated from lattice QCD promise an ab-initio understanding of these systems. We calculate the three-$\pi^+$ spectrum unraveling the three-body dynamics that is tightly intertwined with the $S$-matrix principle of three-body unitarity and compare it with recent lattice QCD results. For this purpose, we develop a formalism for three-body systems in moving frames and apply it numerically.

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