English

Three-body unitarity versus finite-volume $\pi^+\pi^+\pi^+$ spectrum from lattice QCD

High Energy Physics - Lattice 2020-03-25 v1 Nuclear Theory

Abstract

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-π+\pi^+ spectrum unraveling the three-body dynamics that is tightly intertwined with the SS-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.

Keywords

Cite

@article{arxiv.1909.05749,
  title  = {Three-body unitarity versus finite-volume $\pi^+\pi^+\pi^+$ spectrum from lattice QCD},
  author = {M. Mai and M. Döring and C. Culver and A. Alexandru},
  journal= {arXiv preprint arXiv:1909.05749},
  year   = {2020}
}

Comments

8 pages, 4 figures