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Title: Three-Body Dynamics of the a 1 ( 1260 ) Resonance from Lattice QCD

Journal Article · · Physical Review Letters

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.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF); UK Research and Innovation Grant
Contributing Organization:
GWQCD Collaboration
Grant/Contract Number:
SC0016582; AC05-06OR23177; FG02-95ER40907; JSA-20-C0031; PHY-2012289; MR/S015418/1
OSTI ID:
1832506
Alternate ID(s):
OSTI ID: 1838459
Report Number(s):
JLAB-THY-21-3459; DOE/OR/23177-5272; arXiv:2107.03973; PRLTAO; 222001
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Vol. 127 Journal Issue: 22; ISSN 0031-9007
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (124)

Spectrum of Three-Body Bound States in a Finite Volume journal March 2015
Pole position of the a 1 ( 1260 ) from τ -decay journal November 2018
Energy shift of the three-particle system in a finite volume journal April 2019
Low lying axial-vector mesons as dynamically generated resonances journal July 2005
Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93 , 096006 (2016)] journal August 2017
Finite-Volume Spectrum of π + π + and π + π + π + Systems journal February 2019
Relating the finite-volume spectrum and the two-and-three-particle S matrix for relativistic systems of identical scalar particles journal April 2017
Multi-mass solvers for lattice QCD on GPUs journal February 2012
Chiral Perturbation Theory and Final-State Theorem journal November 1988
Multi- π + systems in a finite volume journal May 2020
Visualizing resonances in finite volume journal October 2020
Jülich-Bonn-Washington model for pion electroproduction multipoles journal June 2021
On meson resonances and chiral symmetry journal January 2004
One spatial dimensional finite volume three-body interaction for a short-range potential journal March 2017
Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data journal October 2017
Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states journal October 2019
Energy-Dependent π + π + π + Scattering Amplitude from QCD journal January 2021
Erratum: Spectrum of Three-Body Bound States in a Finite Volume [Phys. Rev. Lett. 114 , 091602 (2015)] journal August 2016
Relativistic, model-independent, three-particle quantization condition journal December 2014
Multi-particle systems on the lattice and chiral extrapolations: a brief review journal June 2021
Three-particle scattering amplitudes from a finite volume formalism journal May 2013
Unitary coupled-channels model for three-mesons decays of heavy mesons journal December 2011
How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation journal July 1990
Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude journal December 2015
Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism journal September 2019
Testing the threshold expansion for three-particle energies at fourth order in ϕ 4 theory journal September 2017
The light-baryon spectrum in a relativistic quark model with instanton-induced quark forces: The non-strange-baryon spectrum and ground states journal June 2001
Benchmark calculations for elastic fermion-dimer scattering journal September 2012
Tau decay into $$\nu _\tau $$ and $$a_1(1260)$$, $$b_1(1235)$$, and two $$K_1(1270)$$ journal July 2020
Three-particle finite-volume formalism for π + π + K + and related systems journal August 2021
Three-body unitarity in the finite volume journal December 2017
Review of Particle Physics journal August 2020
Relevance of complex branch points for partial wave analysis journal July 2011
τ decay into a pseudoscalar and an axial-vector meson journal May 2019
Pion scattering in the isospin I = 2 channel from elongated lattices journal August 2019
Equivalence of three-particle scattering formalisms journal August 2019
Scattering processes and resonances from lattice QCD journal April 2018
Modeling few-body resonances in finite volume journal September 2020
Threshold expansion formula of N bosons in a finite volume from a variational approach journal March 2020
Numerical approach for finite volume three-body interaction journal January 2018
Lattice QCD and Three-Particle Decays of Resonances journal October 2019
Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD journal October 2019
Perturbative results for two- and three-particle threshold energies in finite volume journal January 2016
Three pion spectrum in the I = 3 channel from lattice QCD journal June 2020
Three-particle bound states in a finite volume: Unequal masses and higher partial waves journal July 2018
Three-body unitarity versus finite-volume π + π + π + spectrum from lattice QCD journal March 2020
Extraction of isoscalar π π phase shifts from lattice QCD journal July 2018
Numerical study of the relativistic three-body quantization condition in the isotropic approximation journal July 2018
Implementing the three-particle quantization condition including higher partial waves journal March 2019
Observation of a J PC = 1 + Exotic Resonance in Diffractive Dissociation of 190     GeV / c π into π π π + journal June 2010
Chiral behavior of vector meson self-energies journal December 2013
Light nuclei and hypernuclei from quantum chromodynamics in the limit of SU(3) flavor symmetry journal February 2013
Effective chiral Lagrangians for spin-1 mesons journal March 1996
Rho resonance parameters from lattice QCD journal August 2016
The hadron spectrum from lattice QCD journal July 2008
Chiral extrapolation of the sigma resonance journal July 2018
Inverse amplitude method in chiral perturbation theory journal September 1997
Two-particle states on a torus and their relation to the scattering matrix journal May 1991
Electromagnetic $${\varvec{N}}^{\varvec{*}}$$ N ∗ Transition Form Factors in the ANL-Osaka Dynamical Coupled-Channels Approach journal March 2018
Composite and elementary natures of a 1 ( 1260 ) meson journal June 2011
Observation of a Near-Threshold D 0 D ¯ 0 π 0 Enhancement in B D 0 D ¯ 0 π 0 K Decay journal October 2006
Branching ratios and spectral functions of τ decays: Final ALEPH measurements and physics implications journal December 2005
Volume dependence of N -body bound states journal April 2018
Three-body interactions from the finite-volume QCD spectrum journal July 2021
Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action journal November 2020
D D K system in finite volume journal December 2020
Alternative derivation of the relativistic three-particle quantization condition journal September 2020
On the radiative decays of light vector and axial-vector mesons journal November 2008
Nuclear reactions from lattice QCD journal January 2015
τ decay and the structure of the a1 journal December 2008
Three-particle quantization condition in a finite volume: 1. The role of the three-particle force journal September 2017
Connecting physical resonant amplitudes and lattice QCD journal June 2016
Finite-volume energy spectrum of the K K K system journal December 2020
Finite volume treatment of ππ scattering and limits to phase shifts extraction from lattice QCD journal August 2012
From hadrons to quarks in neutron stars: a review journal March 2018
Resonance parameters of the rho-meson from asymmetrical lattices journal January 2013
Hadrons and nuclei journal November 2019
Interactions of two and three mesons including higher partial waves from lattice QCD journal October 2021
Signatures of few-body resonances in finite volume journal September 2018
Observation of a Narrow Charmoniumlike State in Exclusive B ± K ± π + π J / ψ Decays journal December 2003
Exotic meson production in the f1(1285)π− system observed in the reaction π−p→ηπ+π−π−p at 18 GeV/c journal August 2004
Estimating the two-particle K -matrix for multiple partial waves and decay channels from finite-volume energies journal November 2017
Unveiling the K 1 ( 1270 ) double-pole structure in the B ¯ J / ψ ρ K ¯ and B ¯ J / ψ K ¯ * π decays journal June 2021
Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model journal October 2009
Chiral extrapolations of the ρ ( 770 ) meson in N f = 2 + 1 lattice QCD simulations journal August 2017
Kaon condensation with lattice QCD journal September 2008
Erratum: Testing the threshold expansion for three-particle energies at fourth order in ϕ 4 theory [Phys. Rev. D 96 , 054515 (2017)] journal November 2018
Propagation of particles on a torus journal May 2020
πρ scattering and the π NN form factor journal September 1993
Novel quark-field creation operator construction for hadronic physics in lattice QCD journal September 2009
Three particles in a finite volume journal May 2012
A solvable three-body model in finite volume journal November 2017
Decay amplitudes to three hadrons from finite-volume matrix elements journal April 2021
Axial resonances a 1(1260), b 1(1235) and their decays from the lattice journal April 2014
Hadronic structure in the decay τ ν τ π π 0 π 0 and the sign of the tau neutrino helicity journal December 1999
Pion-nucleon scattering in the Roper channel from lattice QCD journal January 2017
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Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states journal June 1986
Three-particle systems with resonant subprocesses in a finite volume journal January 2019
Multipion states in lattice QCD and the charged-pion condensate journal July 2008
Scattering of two and three physical pions at maximal isospin from lattice QCD: Extended Twisted Mass Collaboration journal May 2021
Finite volume corrections to the binding energy of the X(3872) journal December 2015
Extracting glueball masses from lattice QCD journal February 1983
Pseudoscalar meson and vector meson interactions and dynamically generated axial-vector mesons journal July 2014
Multiple-particle interaction in ( 1 + 1 )-dimensional lattice model journal January 2019
Generalizing the relativistic quantization condition to include all three-pion isospin channels journal July 2020
Variational approach to N -body interactions in finite volume journal November 2018
The Three-Pion Decays of the ${a}_{1}(1260)$ journal July 2018
Scattering of unstable particles in a finite volume: The case of π ρ scattering and the a 1 ( 1260 ) resonance journal March 2012
On the generalized eigenvalue method for energies and matrix elements in lattice field theory journal April 2009
On the three-particle analog of the Lellouch-Lüscher formula journal March 2021
Dalitz plots and lineshape of a 1 ( 1260 ) from a relativistic three-body unitary approach journal May 2020
Extended partial-wave analysis of π N scattering data journal October 2006
Information on the structure of the a 1 from τ decay journal September 2008
Three-body spectrum in a finite volume: The role of cubic symmetry journal June 2018
Lagrangian Method for Chiral Symmetries journal November 1967
Threshold expansion of the three-particle quantization condition journal May 2016
The $$\pi f_0(500)$$ decay of the $$a_1(1260)$$ journal September 2021
Clues for the existence of two K 1 ( 1270 ) resonances journal January 2007
Three-body unitarity with isobars revisited journal September 2017
Cross-channel study of pion scattering from lattice QCD journal December 2019
Two-Flavor Simulations of ρ ( 770 ) and the Role of the K K ¯ Channel journal September 2016
Finite-volume energy shift of the three-pion ground state journal March 2021
Relativistic three-particle quantization condition for nondegenerate scalars journal March 2021

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