DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Three pion spectrum in the I=3 channel from lattice QCD

Journal Article · · Physical Review. D.
 [1];  [1]; ORCiD logo [1];  [2];  [3]
  1. George Washington Univ., Washington, DC (United States)
  2. George Washington Univ., Washington, DC (United States); Univ. of Maryland, College Park, MD (United States)
  3. George Washington Univ., Washington, DC (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Three-body states are critical to the dynamics of many hadronic resonances. We show that lattice QCD calculations have reached a stage where these states can be accurately resolved. We perform a calculation over a wide range of parameters and find all states below inelastic threshold agree with predictions from a state-of-the-art phenomenological formalism. This also illustrates the reliability of the formalism used to connect lattice QCD results to infinite volume physics. Our calculation is performed using three positively charged pions, with different lattice geometries and quark masses.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-95ER40907; AC05-06OR23177; PHY-1452055
OSTI ID:
1634237
Alternate ID(s):
OSTI ID: 1637896
Report Number(s):
JLAB-THY-20-3221; DOE/OR-23177-4998; TRN: US2201676
Journal Information:
Physical Review. D., Vol. 101, Issue 11; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (95)

Three-particle quantization condition in a finite volume: 1. The role of the three-particle force journal September 2017
Spectrum of Three-Body Bound States in a Finite Volume journal March 2015
Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93 , 096006 (2016)] journal August 2017
Resonance parameters of the rho-meson from asymmetrical lattices journal January 2013
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
S - and D -wave phase shifts in isospin-2 π π scattering from lattice QCD journal August 2012
Signatures of few-body resonances in finite volume journal September 2018
Topological phases for bound states moving in a finite volume journal November 2011
Chiral Perturbation Theory and Final-State Theorem journal November 1988
D s 0 * ( 2317 ) Meson and D -Meson-Kaon Scattering from Lattice QCD journal November 2013
On the modification of the Efimov spectrum in a finite cubic box journal January 2010
Timelike pion form factor in lattice QCD journal March 2015
Chiral perturbation theory: Expansions in the mass of the strange quark journal January 1985
Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states journal October 2019
Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data journal October 2017
One spatial dimensional finite volume three-body interaction for a short-range potential journal March 2017
Scattering phase-shift formulas for mesons and baryons in elongated boxes journal September 2017
ρ and K * resonances on the lattice at nearly physical quark masses and N f = 2 journal March 2016
P -wave π π scattering and the ρ resonance from lattice QCD journal August 2017
Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model journal October 2009
The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD journal February 2019
Kaon condensation with lattice QCD journal September 2008
Propagation of particles on a torus journal May 2020
Relativistic, model-independent, three-particle quantization condition journal December 2014
Erratum: Spectrum of Three-Body Bound States in a Finite Volume [Phys. Rev. Lett. 114 , 091602 (2015)] journal August 2016
Novel quark-field creation operator construction for hadronic physics in lattice QCD journal September 2009
Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length journal September 2015
A solvable three-body model in finite volume journal November 2017
Three particles in a finite volume journal May 2012
Coupled π π , K K ¯ scattering in P -wave and the ρ resonance from lattice QCD journal November 2015
Three-particle scattering amplitudes from a finite volume formalism journal May 2013
Nature of the f 0 ( 600 ) Scalar Meson from its N c Dependence at Two Loops in Unitarized Chiral Perturbation Theory journal December 2006
Baryon spectroscopy journal April 2010
Resonance parameters of the ρ meson from lattice QCD journal May 2011
Chiral perturbation theory to one loop journal November 1984
b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD journal September 2019
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
Pion-nucleon scattering in the Roper channel from lattice QCD journal January 2017
Isospin-0 π π s-wave scattering length from twisted mass lattice QCD journal September 2017
Progress towards understanding baryon resonances journal June 2013
Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states journal June 1986
I = 3 Three-Pion Scattering Amplitude from Lattice QCD journal January 2020
Three particles in a finite volume: The breakdown of spherical symmetry journal July 2012
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
Benchmark calculations for elastic fermion-dimer scattering journal September 2012
Hadron-Hadron Interactions from N f = 2 + 1 + 1 lattice QCD: Isospin-1 K K scattering length journal August 2017
Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD journal October 2016
Finite volume corrections to the binding energy of the X(3872) journal December 2015
Extracting glueball masses from lattice QCD journal February 1983
Erratum: Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)] journal November 2014
Three-body unitarity in the finite volume journal December 2017
Two nucleon systems at m π ∼ 450     MeV from lattice QCD journal December 2015
Baryons and chiral symmetry journal January 2017
I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD journal September 2016
Coupled channel analysis of the ρ meson decay in lattice QCD journal September 2011
Pion scattering in the isospin I = 2 channel from elongated lattices journal August 2019
Variational approach to N -body interactions in finite volume journal November 2018
K π scattering and the K * decay width from lattice QCD journal September 2013
K π scattering for isospin 1 2 and 3 2 in lattice QCD journal September 2012
Efimov physics in a finite volume journal March 2009
Resonances in coupled π K , η K scattering from lattice QCD journal March 2015
Scattering of unstable particles in a finite volume: The case of π ρ scattering and the a 1 ( 1260 ) resonance journal March 2012
Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction journal June 2013
Scattering processes and resonances from lattice QCD journal April 2018
Numerical approach for finite volume three-body interaction journal January 2018
Lattice QCD and Three-Particle Decays of Resonances journal October 2019
On the generalized eigenvalue method for energies and matrix elements in lattice field theory journal April 2009
Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD journal October 2019
Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations journal October 2018
Three-particle bound states in a finite volume: Unequal masses and higher partial waves journal July 2018
Extraction of isoscalar π π phase shifts from lattice QCD journal July 2018
Three-body unitarity versus finite-volume π + π + π + spectrum from lattice QCD journal March 2020
Roper state from overlap fermions journal March 2020
Numerical study of the relativistic three-body quantization condition in the isotropic approximation journal July 2018
Erratum: Coupled channel analysis of the ρ meson decay in lattice QCD [Phys. Rev. D 84, 054503 (2011)] journal March 2014
D π scattering and D meson resonances from lattice QCD journal February 2013
The triton in a finite volume journal January 2011
Rho resonance parameters from lattice QCD journal August 2016
Extended partial-wave analysis of π N scattering data journal October 2006
I = 2 π π S -wave scattering phase shift from lattice QCD journal February 2012
Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD journal February 2013
Two-particle states on a torus and their relation to the scattering matrix journal May 1991
Three-body spectrum in a finite volume: The role of cubic symmetry journal June 2018
Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD journal July 2018
ρ meson decay in 2 + 1 flavor lattice QCD journal November 2011
Threshold expansion of the three-particle quantization condition journal May 2016
Three-body unitarity with isobars revisited journal September 2017
Cross-channel study of pion scattering from lattice QCD journal December 2019
Multipion Systems in Lattice QCD and the Three-Pion Interaction journal February 2008
Analyzing the Profile and Purchase Intentions of Green Consumers in Poland journal May 2017
Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry text January 2012
Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data text January 2017

Figures / Tables (11)


Similar Records

Cross-channel study of pion scattering from lattice QCD
Journal Article · 2019 · Physical Review D · OSTI ID:1580302

Pion scattering in the isospin I=2 channel from elongated lattices
Journal Article · 2019 · Physical Review D · OSTI ID:1556834

Finite-Volume Spectrum of π+π+ and π+π+π+ Systems
Journal Article · 2019 · Physical Review Letters · OSTI ID:1494650