Three-Body Dynamics of the ${a}_{1}(1260)$ Resonance from Lattice QCD

Open Access

Three-Body Dynamics of the $a_{1} (1260)$ Resonance from Lattice QCD

Maxim Mai, Andrei Alexandru, Ruairí Brett, Chris Culver, Michael Döring, Frank X. Lee, and Daniel Sadasivan (GWQCD Collaboration)

Phys. Rev. Lett. 127, 222001 – Published 24 November 2021

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.

Received 16 July 2021
Revised 2 September 2021
Accepted 25 October 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.222001

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Few-body systems Lattice QCD Quantum chromodynamics Resonance reactions Scattering amplitudes

Mesons Pions

Nuclear PhysicsParticles & Fields

Authors & Affiliations

Maxim Mai^1,*, Andrei Alexandru^1,2,†, Ruairí Brett ^1,‡, Chris Culver^3,§, Michael Döring^1,4,∥, Frank X. Lee^1,¶, and Daniel Sadasivan ^5,** (GWQCD Collaboration)

¹The George Washington University, Washington, D.C. 20052, USA
²Department of Physics, University of Maryland, College Park, Maryland 20742, USA
³Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, United Kingdom
⁴Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA
⁵Ave Maria University, Ave Maria, Florida 34142, USA

^*maximmai@gwu.edu
^†aalexan@gwu.edu
^‡rbrett@gwu.edu
^§C.Culver@liverpool.ac.uk
^∥doring@gwu.edu
^¶fxlee@gwu.edu
^**daniel.sadasivan@avemaria.edu

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Issue

Vol. 127, Iss. 22 — 24 November 2021

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