Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD

Abstract

Resonant hadronic systems often exhibit a complicated decay pattern in which three-body dynamics play a relevant or even dominant role. In this work we focus on the $a_1(1260)$ resonance. For the first time, the pole position and branching ratios of a three-body resonance are calculated from lattice QCD using one-, two-, and three-meson interpolators and a three-body finite-volume formalism extended to spin and coupled channels. This marks a new milestone for ab-initio studies of ordinary resonances along with hybrid and exotic hadrons involving three-body dynamics.

14 pages, 7 figures

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Cited by in corpus (10)

• Towards a theory of hadron resonances
• Novel approaches in Hadron Spectroscopy
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Elastic nucleon-pion scattering at $m_{\pi }=200\mathrm{MeV}$ from lattice QCD
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• Emergence of the $\pi (1300)$ Resonance from Lattice QCD
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